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Evaluation of 2-D Shear-Wave Velocity Models and V S30 at Six Strong-Motion Recording Stations in Southern California using Multichannel Analysis of Surface Waves and Refraction Tomography

Joanne H. Chan, Rufus D. Catchings, Mark R. Goldman, Coyn J. Criley, Robert R. Sickler, A.S. Baltay · U.S. Geological Survey
USGS Publications · Papers · License: Public Domain
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usgs, geological survey, united states, science, government publication, usgs open-file report, 2024, 1016, evaluation, shear, wave, velocity, models, s30, six, strong, motion, recording, stations, southern, california, using, multichannel, analysis, surface, waves, refraction, tomography

Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California using Multichannel Analysis of Surface Waves and Refraction Tomography

Open-File Report 2024–1016

U.S. Department of the Interior U.S. Geological Survey

Cover. U.S. Geological Survey scientists and volunteers preparing to acquire active-source seismic data at Southern California Edison substation in La Habra, California.

Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California using Multichannel Analysis of Surface Waves and Refraction Tomography By Joanne H. Chan, Rufus D. Catchings, Mark R. Goldman, Coyn J. Criley, and Robert R. Sickler

Open-File Report 2024–1016

U.S. Department of the Interior U.S. Geological Survey

U.S. Geological Survey, Reston, Virginia: 2024

For more information on the USGS—the Federal source for science about the Earth, its natural and living resources, natural hazards, and the environment—visit https://www.usgs.gov or call 1–888–ASK–USGS. For an overview of USGS information products, including maps, imagery, and publications, visit https://store.usgs.gov/. Any use of trade, firm, or product names is for descriptive purposes only and does not imply endorsement by the U.S. Government. Although this information product, for the most part, is in the public domain, it also may contain copyrighted materials as noted in the text. Permission to reproduce copyrighted items must be secured from the copyright owner. Suggested citation: Chan, J.H., Catchings, R.D., Goldman, M.R., Criley, C.J., and Sickler, R.R., 2024, Evaluation of 2-D shear-wave velocity models and VS30 at six strong-motion recording stations in southern California using multichannel analysis of surface waves and refraction tomography: U.S. Geological Survey Open-File Report 2024–1016, 58 p., https://doi.org/​ 10.3133/​ofr20241016. Associated data for this publication: Chan, J.H., Catchings, R.D., Goldman, M.R, Criley, C.J., and Sickler, R.R., 2021, High-resolution seismic data acquired at six Southern California seismic network (SCSN) recording stations in 2017: U.S. Geological Survey data release, https://doi.org/​10.5066/​P990O55F. ISSN 2331-1258 (online)

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Acknowledgments We thank Roderick dela Cruz of Southern California Edison for field site access. We thank Keith Galvin, Koichi Hayashi, Dan Langermann, Tony Martin, Devin McPhillips, Ian Richardson, David Saucedo-Green, Luther Strayer, Nathan Suits, and Alan Yong for assistance in the field.

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Contents Acknowledgments����������������������������������������������������������������������������������������������������������������������������������������iii Abstract�����������������������������������������������������������������������������������������������������������������������������������������������������������1 Seismic Survey�����������������������������������������������������������������������������������������������������������������������������������������������1 Date Acquisition������������������������������������������������������������������������������������������������������������������������������������1 Profile LA17-1—Olinda (SCSN OLI)���������������������������������������������������������������������������������������������������1 Profile LA17-1b—Olinda (SCSN OLI)�������������������������������������������������������������������������������������������������1 Profile LA17-2—Serrano (SCSN SRN)����������������������������������������������������������������������������������������������3 Profile LA17-3—Murrieta (SCSN MUR)��������������������������������������������������������������������������������������������3 Profile LA17-4—La Cienega (SCSN LCG)������������������������������������������������������������������������������������������5 Profile LA17-5—Rush (SCSN RUS)����������������������������������������������������������������������������������������������������5 Profile LA17-6—Santa Clara (SCSN STC)�����������������������������������������������������������������������������������������7 Seismic-Imaging Methods���������������������������������������������������������������������������������������������������������������������������8 Refraction-Tomography Modeling�����������������������������������������������������������������������������������������������������8 Multichannel Analysis of Surface Waves (MASW)������������������������������������������������������������������������9 VS30 Calculations��������������������������������������������������������������������������������������������������������������������������������������������9 Velocity Models and Dispersion Curves����������������������������������������������������������������������������������������������������9 Profile LA17-1—Olinda (SCSN OLI)�������������������������������������������������������������������������������������������������10 P-wave Refraction Tomography (VP) Model��������������������������������������������������������������������������10 S-wave Refraction Tomography (VS) Model��������������������������������������������������������������������������10 MASRW 2-D S-wave Velocity Model��������������������������������������������������������������������������������������10 MASLW 2-D S-wave Velocity Model—3.5-kg Sledgehammer Source�����������������������������10 MASLW 2-D S-wave Velocity Model—45°-Angle Weight-Drop Source��������������������������10 Profile LA17-1b—Olinda (SCSN OLI)�����������������������������������������������������������������������������������������������12 P-wave Refraction Tomography (VP) Model��������������������������������������������������������������������������12 MASRW 2-D S-wave Velocity Model��������������������������������������������������������������������������������������12 Profile LA17-2—Serrano (SCSN SRN)��������������������������������������������������������������������������������������������14 P-wave Refraction Tomography (VP) Model��������������������������������������������������������������������������14 S-wave Refraction Tomography (VS) Model��������������������������������������������������������������������������14 MASRW 2-D S-wave Velocity Model��������������������������������������������������������������������������������������14 MASLW 2-D S-wave Velocity Model—3.5-kg Sledgehammer Source�����������������������������16 MASLW 2-D S-wave Velocity Model—45°-Angle Weight-Drop Source��������������������������16 Profile LA17-3—Murrieta (SCSN MUR)������������������������������������������������������������������������������������������18 P-wave Refraction Tomography (VP) Model��������������������������������������������������������������������������18 S-wave Refraction Tomography (VS) Model��������������������������������������������������������������������������18 MASRW 2-D S-wave Velocity Model��������������������������������������������������������������������������������������18 MASLW 2-D S-wave Velocity Model—3.5-kg Sledgehammer Source�����������������������������19 MASLW 2-D S-wave Velocity Model—45°-Angle Weight-Drop Source��������������������������21 Profile LA17-4—La Cienega (SCSN LCG)����������������������������������������������������������������������������������������21 P-wave Refraction Tomography (VP) Model��������������������������������������������������������������������������21 S-wave Refraction Tomography (VS) Model��������������������������������������������������������������������������21 MASRW 2-D S-wave Velocity Model��������������������������������������������������������������������������������������22 MASLW 2-D S-wave Velocity Model—3.5-kg Sledgehammer Source�����������������������������22 Profile LA17-5—Rush (SCSN RUS)��������������������������������������������������������������������������������������������������24

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P-wave Refraction Tomography (VP) Model��������������������������������������������������������������������������24 S-wave Refraction Tomography (VS) Model��������������������������������������������������������������������������24 MASRW 2-D S-wave Velocity Model��������������������������������������������������������������������������������������24 MASLW 2-D S-wave Velocity Model—3.5-kg Sledgehammer Source�����������������������������25 Profile LA17-6—Santa Clara (SCSN STC)���������������������������������������������������������������������������������������25 P-wave Refraction Tomography (VP) Model��������������������������������������������������������������������������25 S-wave Refraction Tomography (VS) Model��������������������������������������������������������������������������27 MASRW 2-D S-wave Velocity Model��������������������������������������������������������������������������������������27 MASLW 2-D S-wave Velocity Model—3.5-kg Sledgehammer Source�����������������������������28 VP/VS Ratios������������������������������������������������������������������������������������������������������������������������������������������30 Poisson’s Ratios����������������������������������������������������������������������������������������������������������������������������������30 Summary�������������������������������������������������������������������������������������������������������������������������������������������������������30 VS and VS30 Comparisons�������������������������������������������������������������������������������������������������������������������30 Profile LA17-1—Olinda (SCSN OLI)����������������������������������������������������������������������������������������30 Profile LA17-1b—Olinda (SCSN OLI)��������������������������������������������������������������������������������������31 Profile LA17-2—Serrano (SCSN SRN)�����������������������������������������������������������������������������������31 Profile LA17-3—Murrieta (SCSN MUR)���������������������������������������������������������������������������������31 Profile LA17-4—La Cienega (SCSN LCG)�������������������������������������������������������������������������������31 Profile LA17-5—Rush (SCSN RUS)�����������������������������������������������������������������������������������������32 Profile LA17-6—Santa Clara (SCSN STC)������������������������������������������������������������������������������32 Method Comparison���������������������������������������������������������������������������������������������������������������������������32 References Cited�����������������������������������������������������������������������������������������������������������������������������������������32 Appendix 1. Rayleigh- and Love-Wave Dispersion Curves Nearest to Strong-Motion Recording Station���������������������������������������������������������������������������������������������������������������������������35 Appendix 2. Rayleigh- and Love-Wave Fundamental mode Dispersion Curve Picks�������������������41 Appendix 3. Rayleigh- and Love-Wave 1-D Velocity Depth Profiles������������������������������������������������47 Appendix 4. VP/VS Ratios Determined from P-wave and S-wave Refraction Tomography����������52 Appendix 5. Poisson’s Ratios Determined from P-wave and S-wave Refraction Tomography�������������������������������������������������������������������������������������������������������������������������������������55

Figures 1. Shaded relief map of southern California showing Quaternary-active faults and the approximate locations of the six strong-motion recording stations and our seismic surveys�����������������������������������������������������������������������������������������������������������������������������2 2. Orthoimage showing seismic profiles LA17-1-OLI and LA17-1b-OLI adjacent to Southern California Edison substation in La Habra, California���������������������������������������������3 3. Orthoimage showing seismic profile LA17-2-SRN (red line) inside a Southern California Edison substation in Orange, California������������������������������������������������������������������4 4. Orthoimage showing seismic profile LA17-3-MUR (red line) adjacent to Southern California Edison substation in Murrieta, California����������������������������������������������5 5. Orthoimage showing seismic profile LA17-4-LCG (red line) east of Southern California Edison substation in Ladera Heights, California����������������������������������������������������6 6. Orthoimage showing seismic profile LA17-5-RUS (red line) northeast of a Southern California Edison substation in Rosemead, California������������������������������������������7

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7. Orthoimage showing seismic profile LA17-6-STC (red line) east of Southern California Edison substation in Ventura, California�����������������������������������������������������������������8 8. P-wave refraction tomography model for profile LA17-1-OLI���������������������������������������������11 9. S-wave refraction tomography model for profile LA17-1-OLI���������������������������������������������11 10. Two-dimensional MASRW and MASLW shear-wave velocity models for profile LA17-1-OLI������������������������������������������������������������������������������������������������������������������������������������13 11. P-wave refraction tomography model for profile LA17-1b-OLI�������������������������������������������14 12. Two-dimensional MASRW shear-wave velocity model for profile LA17-1b-OLI��������������15 13. P-wave refraction tomography model for profile LA17-2-SRN�������������������������������������������15 14. S-wave refraction tomography model for profile LA17-2-SRN�������������������������������������������16 15. Two-dimensional MASRW and MASLW shear-wave velocity models for profile LA17-2-SRN����������������������������������������������������������������������������������������������������������������������������������17 16. P-wave refraction tomography model for profile LA17-3-MUR (station SCSN MUR)�����18 17. S-wave refraction tomography model for profile LA17-3-MUR (SCSN MUR)������������������19 18. Two-dimensional MASRW and MASLW VS models for profile LA17-3-MUR near the SCSN MUR strong-motion recording station������������������������������������������������������������������20 19. P-wave refraction tomography model for profile LA17-4-LCG��������������������������������������������21 20. S-wave refraction tomography velocity model for profile LA17-4-LCG�����������������������������22 21. Two-dimensional MASRW- and MASLW-derived shear-wave velocity models for profile LA17-4-LCG����������������������������������������������������������������������������������������������������������������23 22. P-wave refraction tomography velocity model for the LA17-5-RUS profile����������������������24 23. S-wave refraction tomography model for the LA17-5-RUS profile�������������������������������������25 24. Two-dimensional MASRW and MASLW shear-wave velocity models for profile LA17-5-RUS����������������������������������������������������������������������������������������������������������������������������������26 25. P-wave refraction tomography model for profile LA17-6-STC��������������������������������������������27 26. S-wave refraction tomography model for the LA17-6-STC seismic profile����������������������28 27. Two-dimensional MASRW- and MASLW-derived VS models for profile LA17-6-STC������29

Tables 1. Total number of traces used for P- and S-wave inversion to develop seismic velocity models�����������������������������������������������������������������������������������������������������������������������������2 2. Inversion parameters of multichannel analysis of surface waves initial models��������������9 3. VS30 values for seven seismic profiles near strong-motion recording stations located at Southern California Edison substations���������������������������������������������������������������12

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Conversion Factors International System of Units to U.S. customary units

Multiply

By Length 0.3937 0.03937 3.281 0.6214 Flow rate 3.281 Mass 2.205

centimeter (cm) millimeter (mm) meter (m) kilometer (km) meter per second (m/s) kilogram (kg)

To obtain inch (in.) inch (in.) foot (ft) mile (mi) foot per second (ft/s) pound avoirdupois (lb)

U.S. customary units to International System of Units

Multiply inch (in.) inch (in.) foot (ft) mile (mi) foot per second (ft/s) pound, avoirdupois (lb)

By Length 2.54 25.4 0.3048 1.609 Flow rate 0.3048 Mass 0.4536

To obtain centimeter (cm) millimeter (mm) meter (m) kilometer (km) meter per second (m/s) kilogram (kg)

Abbreviations 1-D

one-dimensional

2-D

two-dimensional

AWD

accelerated weight-drop

CMPCC

common midpoint cross-correlation

GMPEs

ground-motion prediction equations

Hz

hertz

MASW

multichannel analysis of surface waves

MASLW

MASW using Love-waves

MASRW

MASW using Rayleigh-waves

SCE

Southern California Edison

SCSN

Southern California seismic network

VP

P-wave or compressional-wave velocity

VS

S-wave or shear-wave velocity

VS30

time-averaged shear-wave velocity in the upper 30 meters of the subsurface

Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California using Multichannel Analysis of Surface Waves and Refraction Tomography By Joanne H. Chan, Rufus D. Catchings, Mark R. Goldman, Coyn J. Criley, and Robert R. Sickler

Abstract To better understand the potential for amplified ground shaking at sites that house critical infrastructure, the U.S. Geological Survey (USGS) evaluated shear-wave velocities (VS) at six strong-motion recording stations in Southern California Edison facilities in southern California. We calculated VS30 (time-averaged shear-wave velocity in the upper 30 meters [m]), which is a parameter used in ground-motion prediction equations (GMPEs) to account for site amplification (Building Safety Seismic Council, 2003; Holtzer and others, 2005; Baltay and Boatwright, 2015). Previous site-characterization studies using multiple methods in Alameda, Napa, and Sonoma Counties, Calif., and in British Columbia (Catchings and others, 2017, 2019; Chan and others, 2018a, 2018b) show that some sites have significant lateral variability; thus, a single measurement of VS30 nearest to the strong-motion recording station may not accurately account for the actual subsurface velocity variations. In the summer of 2017, we recorded body and surface waves along linear profiles (118–174 m long) using active-source seismic methods (226-kilogram [kg] accelerated weight-drop and 3.5-kg sledgehammer impacts) near strong-motion recording stations. We used S-wave refraction tomography and a multichannel analysis of surface waves (MASW) method (using common midpoint cross-correlation; CMPCC) to evaluate two-dimensional (2-D) VS from body and surface waves, respectively. We evaluated VS from both Rayleighand Love-waves.

Seismic Survey Date Acquisition We acquired high-resolution P- and S-wave seismic data (Chan and others, 2021) along linear profiles near strong-motion recording stations located near Southern California Edison substations (figs. 1–7). We generated P-wave data using one of three types of active sources: a 226-kilogram (kg) vertical

accelerated weight-drop (AWD), a 3.5-kg sledgehammer and steel plate combination, or a 2.7-kg hammer and steel plate combination. Active-source S-waves were generated using a combination of a 45-degree (°)-angle AWD and by horizontally striking an aluminum block with a 3.5-kg sledgehammer (table 1). We co-located P-wave sources (roughly 1-m offset) and 40-hertz (Hz), SercelTM L-40A vertical-component geophones every 2 or 4 m to record P-wave data. After acquisition of P-wave data along each profile, we replaced the vertical-component geophones with 4.5-Hz, SercelTM L-28-LBH horizontal-component geophones and co-located S-wave sources (roughly 1-m offset) with the geophones to record S-wave data. Two 60-channel, Geometrics StrataView RX-60TM seismographs were connected to the geophones via refraction cables to record the P- and S-wave data.

Profile LA17-1—Olinda (SCSN OLI) Profile LA17-1-OLI was oriented west to east on an elevated dirt path, adjacent to the Southern California Edison (SCE) Olinda substation (fig. 2). The strong-motion recording station (SCSN OLI) was in the southwest corner of the substation, approximately 65 m from the nearest geophone of the seismic profile. We deployed 82 P- and S-wave geophones at 2-m intervals along the profile and co-located P-wave (226-kg vertical AWD) and S-wave (3.5-kg sledgehammer) sources. We also used a 45°-angle AWD S-wave source approximately every 20 m along the profile and a 2.7-kg hammer and steel plate P-wave source approximately every 24 m along the profile.

Profile LA17-1b—Olinda (SCSN OLI) Profile LA17-1b-OLI was oriented south to north, adjacent to the SCE Olinda substation (fig. 2). The strong-motion recording station (SCSN OLI) was approximately 15 m from the closest geophone of the seismic profile. We deployed 30 P-wave geophones at 4-m spacing along the profile and co-located P-wave (226-kg AWD) seismic sources. S-wave (body waves) data were not acquired along profile LA17-1b-OLI due to time limitations.

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119.5˚W

33.5˚N

S Thousand Oaks San Bernardino AN JA MALIIBU COAST FZ ! LA2017-5-RUS CI NT LA2017-4-LCG ! Los Angeles O LA2017-1-OLI ! FZ SA EL N NE S IN ! PE RO W OR PA D SE PO LA2017-2-SRN EF RO R LO CA TZ BA NY ING VE SI ON LE RD ! N ES FZ WO FZ LA2017-3-MUR OD FZ -

0

20

40

80

Km 120

EXPLANATION: Faults: Holocene- to Latest Pleistocene-active (< 15,000 years)

Historically active (< 150 years) Late Quaternary-active (< 130,000 years) !

Quaternary-active (< 1.6 Ma)

Strong motion recording station

Figure 1. Shaded relief map of southern California showing Quaternary-active faults (lines) and the approximate locations (black circles) of the six strong-motion recording stations and our seismic surveys. Quaternary fault data was acquired from the U.S. Geological Survey Quaternary Fault and Fold Database of the United States (https://usgs.maps.arcgis.com/apps/ webappviewer/index.html?id=5a6038b3a1684561a9b0aadf88412fcf, U.S. Geological Survey Earthquake Hazards Program, 2020). Table 1. Total number of traces used for P- and S-wave inversion to develop seismic velocity models (Hole, 1992). [Each column shows the number of traces generated by different seismic sources for each of the 7 profiles (Chan and others, 2021). kg, kilograms; °, degrees; AWD, accelerated weight-drop; NA, not applicable]

Seismic source

LA17-1-OLI

LA17-1b-OLI

LA17-2-SRN

LA17-3-MUR

LA17-4-LCG

LA17-5-RUS

LA17-6-STC

P-wave (226-kg AWD)

6,724

840

7,480

3,600

1,860

3,600

3,600

P-wave (2.7-kg hammer)1

656

NA

528

420

NA

NA

420

S-wave (45° AWD) S-wave (3.5-kg sledgehammer)

738

NA

880

420

NA

NA

NA

6,724

NA

7,744

3,600

3,600

3,600

3,600

1Seismic data generated by 2.7-kg hammer are not used to create velocity models.

Seismic Survey  3 117.924˚W

117.922˚W

117.920˚W

Con 33.947˚N

e cu

lver

33.947˚N

cret

t

33.946˚N

33.946˚N

LA2017-1b-OLI

33.945˚N

33.945˚N

LA2017-1-OLI

$ 117.924˚W 0

40

80

160

117.922˚W

117.920˚W

Meters 240

EXPLANATION SCSN station OLI (33.9454˚N, -117.9237˚W) Seismic profiles LA2017-1-OLI and LA2017-1b-OLI Figure 2. Orthoimage showing seismic profiles LA17-1-OLI and LA17-1b-OLI (red lines) adjacent to Southern California Edison substation in La Habra, Calif. Strong-motion recording station SCSN OLI is in the southwest corner of the substation (red circle). The concrete culvert visible in the upper right-hand corner of the image shows the water drainage rerouted away from the substation. (SCSN, Southern California seismic network). Orthoimage was acquired from The National Map-Orthoimagery (https://apps.nationalmap.gov/viewer/, U.S. Geological Survey National Geospatial Program, 2009).

Profile LA17-2—Serrano (SCSN SRN)

Profile LA17-3—Murrieta (SCSN MUR)

Profile LA17-2-SRN was oriented southwest to northeast inside the SCE Serrano substation (fig. 3). The strong-motion recording station (SCSN SRN) was approximately 200 m southeast of the closest geophone of the seismic profile. We deployed 88 Pand S-wave wave geophones along the profile, with 2-m spacing between geophones. We co-located P-wave (226-kg AWD) and S-wave (3.5-kg sledgehammer) sources with the geophones (1-m offset), including a 45°-angle AWD S-wave source approximately every 20 m along the profile and a 2.7-kg hammer and steel plate P-wave source approximately every 36 m along the profile.

Profile LA17-3-MUR was oriented southwest to northeast, adjacent to the SCE Murrieta substation (fig. 4). The strong-motion recording station (SCSN MUR) was located approximately 40 m southwest of the nearest geophone of the seismic profile. We deployed 60 P- and S-wave geophones at 2-m spacing along the profile and co-located P-wave (226-kg AWD) and S-wave (3.5-kg sledgehammer) sources. We also generated S-wave sources using the 45°-angle AWD source and a 2.7-kg hammer and steel plate P-wave source approximately every 20 m along the profile.

4   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California 117.795˚W

117.791˚W

117.789˚W

117.787˚W

117.793˚W

117.791˚W

117.789˚W

117.787˚W

33.832˚N

33.832˚N

117.793˚W

33.828˚N

33.828˚N

33.830˚N

33.830˚N

$ 117.795˚W

0

50 100

200

Meters 300

EXPLANATION SCSN station SRN (33.8285˚N, -117.7894˚W) Seismic profile LA2017-2-SRN Peralta Hills Fault (Late Quaternary) Figure 3. Orthoimage showing seismic profile LA17-2-SRN (red line) inside a Southern California Edison substation in Orange, Calif. Strong-motion recording station SCSN SRN is in the southeastern area of the substation (red circle). The late Quaternary Peralta Hills Fault (yellow lines) is mapped crossing the substation and our seismic profile (SCSN, Southern California seismic network). Orthoimage was acquired from The National Map-Orthoimagery (https://apps. nationalmap.gov/viewer/, U.S. Geological Survey National Geospatial Program, 2009).

Seismic Survey  5

117.195˚W

117.193˚W

117.197˚W

117.195˚W

117.193˚W

33.602˚N

33.602˚N

117.197˚W

33.600˚N

33.600˚N

$ 0

40

80

160

240

Meters

EXPLANATION SCSN station MUR (33.6000˚N, -117.1954˚W) Seismic profile LA2017-3-MUR Figure 4. Orthoimage showing seismic profile LA17-3-MUR (red line) adjacent to Southern California Edison substation in Murrieta, Calif. Strong-motion recording station SCSN MUR is in the southeast area of the substation (red circle); (SCSN, Southern California seismic network). Orthoimage was acquired from The National Map-Orthoimagery (https://apps. nationalmap.gov/viewer/, U.S. Geological Survey National Geospatial Program, 2009).

Profile LA17-4—La Cienega (SCSN LCG)

Profile LA17-5—Rush (SCSN RUS)

Profile LA17-4-LCG was oriented southeast to northwest, adjacent to the SCE La Cienega substation (fig. 5). The strong-motion recording station (SCSN LCG) was approximately 130 m northwest of the closest geophone of the seismic profile. We deployed 60 P- and S-wave geophones at 2-m spacing along the profile, with co-located S-wave (3.5-kg sledgehammer) seismic sources. P-wave (226-kg AWD) sources were located at every other geophone (4 m spacing) along the profile. We did not use the 45°-angle AWD S-wave or the 2.7-kg hammer and steel plate P-wave sources along this profile due to time limitations.

Profile LA17-5-RUS was oriented southeast to northwest, adjacent to the SCE Rush substation (fig. 6). The strong-motion recording station (SCSN RUS) was approximately 90 m southwest of the nearest geophone of the seismic profile. We deployed 60 P- and S-wave geophones at 2-m spacing along the profile and co-located P-wave (226-kg AWD) and S-wave (3.5-kg sledgehammer) sources. We did not use the 45°-angle AWD S-wave or the 2.7-kg hammer and steel plate P-wave sources here due to time limitations.

6   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California 118.376˚W

118.378˚W

118.376˚W

34.001˚N

34.001˚N

118.378˚W

0

33.999˚N

33.999˚N

$ 40

80

160

Meters 240

EXPLANATION SCSN station LCG (34.0003˚N, -118.3779˚W) Seismic profile LA2017-4-LCG Newport-Inglewood-Rose Canyon Fault Zone (Late Quaternary) Figure 5. Orthoimage showing seismic profile LA17-4-LCG (red line) east of Southern California Edison substation in Ladera Heights, Calif. Strong-motion recording station SCSN LCG is in the eastern area of the substation (red circle). Late Quaternary Newport-Inglewood-Rose Canyon Fault Zone (yellow line) is mapped less than 200 meters northeast of our seismic profile. (SCSN, Southern California seismic network). Orthoimage was acquired from The National Map-Orthoimagery (https://apps.nationalmap.gov/viewer/, U.S. Geological Survey National Geospatial Program, 2009).

Seismic Survey  7 118.081˚W

118.080˚W

118.079˚W

118.082˚W

118.081˚W

118.080˚W

118.079˚W

34.052˚N

34.052˚N

118.082˚W

34.051˚N

34.051˚N

$ 0

25 50

100

Meters 150

EXPLANATION SCSN station RUS (34.0508˚N, -118.0808˚W) Seismic profile LA2017-5-RUS Figure 6. Orthoimage showing seismic profile LA17-5-RUS (red line) northeast of a Southern California Edison substation in Rosemead, Calif. Strong-motion recording station SCSN RUS is in the southeast corner of the substation (red circle); (SCSN, Southern California seismic network). Orthoimage was acquired from The National Map-Orthoimagery (https:// apps.nationalmap.gov/viewer/, U.S. Geological Survey National Geospatial Program, 2009).

Profile LA17-6—Santa Clara (SCSN STC) Profile LA17-6-STC was oriented southeast to northwest, adjacent to the SCE Santa Clara substation (fig. 7). The strong-motion recording station (SCSN STC) was in the northwest corner of the substation, approximately 250 m

northwest of the seismic profile. We deployed 60 P- and S-wave geophones at 2-m spacing along the profile and co-located P-wave (226-kg AWD) and S-wave (3.5-kg sledgehammer) sources. We did not use the 45°-angle AWD S-wave or the 2.7-kg hammer and steel plate P-wave sources at this site due to time limitations.

8   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California 119.185˚W

119.183˚W

119.187˚W

119.185˚W

119.183˚W

34.303˚N

34.303˚N

119.187˚W

0

34.301˚N

34.301˚N

$ 30 60

120

Meters 180

EXPLANATION SCSN station STC (34.3030˚N, -119.1868˚W) Seismic profile LA2017-6-STC Figure 7. Orthoimage showing seismic profile LA17-6-STC (red line) east of Southern California Edison substation in Ventura, Calif. Strong-motion recording station SCSN STC is in northwest corner of the substation (red circle); (SCSN, Southern California seismic network). Orthoimage was acquired from The National Map-Orthoimagery (https://apps. nationalmap.gov/viewer/, U.S. Geological Survey National Geospatial Program, 2009).

Seismic-Imaging Methods We used an acquisition geometry that allowed us to develop 2-D P- and S-wave refraction tomography models, tomographic-based VP/VS and Poisson’s ratio models (all based on body waves), and VS models based on Rayleigh and Love waves using the multichannel analysis of surface waves (MASW) method.

Refraction-Tomography Modeling We used refraction tomography to model subsurface P- and S-wave velocities along all profiles. We first processed the seismic data (Chan and others, 2021) by grouping the

recorded seismic traces into shot gathers and adding the survey geometry. We removed traces without recorded signals and corrected the timing of each shot gather to match the timing of each P- and S-wave source. First arrivals from Pand S-wave shot gathers were inverted (table 1) to develop seismic-velocity models using the algorithm of Hole (1992). We developed P- and S-wave starting models based on one-dimensional (1-D) modeling of the shot gathers, and we parameterized our initial 2-D models into vertical and horizontal grids with each grid space at 2-m based on shot and geophone spacing. The total number of traces ranged between 420 and 7,743 for each seismic profile (table 1), and, generally, the large number of first arrivals used for each profile allows for a well-determined velocity model.

Velocity Models and Dispersion Curves   9

Multichannel Analysis of Surface Waves (MASW)

VS30 Calculations

Our data-acquisition method allows us to use Rayleighand Love-waves to develop 2-D S-wave velocity models from vertical- and horizontal-component data, respectively, using the MASW method. The MASW method utilizes the dispersive nature of surface waves to estimate VS velocities in the shallow subsurface (Park and others, 1999; Xia and others, 1999). The MASW technique is often used on surface waves in geotechnical site investigations and shallow subsurface studies (Pujol, 2003; Ivanov and others, 2003, 2008, 2013; Miller and others, 1999; Park and others, 1999, 2007; Zeng and others, 2012; Park, 2013; Xia and others, 2000; Yong and others, 2013). We used the common midpoint cross-correlation (CMPCC) method, developed by Hayashi and Hikima (2003) and Hayashi and Suzuki (2004), to construct phase velocity (dispersion) curves from all receivers along each profile. In our analysis, we grouped cross-correlated pairs of seismic traces with common midpoints and converted the CMPCC gathers from time-distance waveform data to images of phase velocity-frequency through an integral transformation. We examined and manually adjusted the fundamental mode dispersion curve picks before inverting the selected picks using a non-linear, least-squares approach. Our starting models (table 2) extended to between 40 and 50 m depth, consisted of 15 layers, and were inverted using up to 10 iterations. The starting model depths were based on one-half to one-third of the length of each seismic profile, whereas other parameters were based on starting models from prior studies with similar underlying geology and topography. Finally, the multiple 1-D VS models along each profile were combined to make 2-D VS models.

We evaluated the time-averaged VS in the upper 30 m of the subsurface (VS30) from (a) our tomographic Vs models, (b) our MASW Rayleigh-wave models (MASRW), and (c) our MASW Love-wave models (MASLW). VS30 is frequently used to evaluate soil properties (Holtzer and others, 2005) and to account for site amplification in ground-motion models (Baltay and Boatwright, 2015) and in ground-motion prediction equations (GMPEs). VS30 is also used to determine site classification, which is an important consideration for establishing building codes for seismic safety (Building Seismic Safety Council, 2003). We calculated VS30 at every 1 m along all profiles for areas of our models with VS values to at least 30 m depth. For parts of our model where VS was not measured to depths of at least 30 m, we calculated VSZ (VS as a function of depth) using interpolated shear-wave velocities to 30 m depth. From our models, we evaluated lateral variations in VS30 across the seismic profiles, and we compared VS30 that were calculated using the multiple modeling methods (Catchings and others, 2017; 2019, Chan and others, 2018a; 2018b).

Velocity Models and Dispersion Curves In the following sections, we present the various velocity models that we developed using the techniques described above. Appendix 1 shows Rayleigh- and Love-wave dispersion curves nearest to the strong-motion recording stations along each seismic profile. Appendix 2 shows Rayleigh- and Love-wave dispersion curve picks along the entire lengths of the profiles. Appendix 3 shows 1-D

Table 2. Inversion parameters of multichannel analysis of surface waves initial models. [m, meters]

Seismic profile

Depth (m)

Number of layers

Layer thickness Gradient

Bottom layer multiplier

Number of inversions

LA17-1-OLI

50

15

0.5

3

10

LA17-1b-OLI

40

15

0.5

3

10

LA17-2-SRN

50

15

0.5

3

10

LA17-3-MUR

50

15

0.5

3

10

LA17-4-LCG

50

15

0.5

3

10

LA17-5-RUS

50

15

0.5

3

10

LA17-6-STC

50

15

0.5

3

10

10   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California velocity-depth profiles nearest to the strong-motion recording stations along each seismic profile. We did not analyze seismic data generated by the 2.7-kg hammer because the source provided no additional seismic information to the refraction tomography and MASW methods.

Profile LA17-1—Olinda (SCSN OLI) P-wave Refraction Tomography (VP) Model Along the Olinda LA17-1-OLI seismic profile, P-wave velocities (VP) range from approximately 375 meters per second (m/s) near the surface to approximately 1,050 m/s at 40 m depth (fig. 8). Below about 5 m depth, velocity contours and gradients are generally sub-parallel to the surface, and there are slightly higher velocities in the western part of the seismic profile. The strong-motion recording station (SCSN OLI) was located approximately 65 m west of our seismic profile and was nearest to distance meter 0.

S-wave Refraction Tomography (VS) Model Determined from refraction tomography, VS values range from approximately 200 near the surface to approximately 1,100 m/s at 60 m depth (fig. 9). Similar to the P-wave refraction model, VS gradients are generally sub-parallel to the surface in the western part of the profile, with slightly higher velocities in the upper 20 m of the subsurface to the west. We calculated the range of VS30 across the profile to range from 290 to 362 m/s, with a VS30 of 320 m/s nearest to the strong-motion recording station (SCSN OLI) at distance meter 0 (table 3). To determine VS30 at meter 0, velocities near the center of the profile at 30 m depth are assumed to extend horizontally to meter 0.

We developed a VS model for the LA17-1-OLI seismic profile by evaluating Rayleigh-waves with the MASW technique. Our 2-D VS model (fig. 10A) shows VS ranges from approximately 150 m/s near the surface to 650 m/s at 40 m depth. VS is slightly higher at depth in the western half of the seismic profile, with channel-like velocity structure at depth near distance meter 130.

MASLW 2-D S-wave Velocity Model—3.5-kg Sledgehammer Source The Love-wave dispersion curve shown in appendix 1 (fig. 1.1B) was developed for the location along our seismic profile nearest to the SCSN OLI strong-motion recording station (meter 0). Fundamental mode dispersion curve picks (red circles) are between phase velocities of approximately 250 and 2,300 m/s and frequencies between 2 and 26 Hz; we do not observe higher mode dispersion curves. The Love-wave fundamental mode dispersion curve picks across the entire length of the profile (fig. 2.1B) generally coincide with phase velocities between approximately 200 and 2,500 m/s at frequencies between 2 and 25 Hz. The Love-wave 1-D depth-velocity profile (fig. 3.1B) nearest to the strong-motion recording station shows a gradual increase in VS below approximately 10 m depth. We calculated (a) VS30 to be 494 m/s nearest to the SCSN OLI strong-motion recording station, with (b) VS30 ranging from 241 to 494 m/s, as calculated for each meter along the profile. The average VS30 across the entire profile is 289 m/s. (table 3). Our 2-D MASLW VS model along the LA17-1-OLI seismic profile (fig. 10B) indicates VS ranges from approximately 150 m/s near the surface to approximately 650 m/s at 40 m depth. Modeled velocities are slightly higher at depth in the western half of the seismic profile, with a channel-like velocity structure near distance meter 130.

MASRW 2-D S-wave Velocity Model

MASLW 2-D S-wave Velocity Model—45°-Angle Weight-Drop Source

A Rayleigh-wave dispersion curve shown in appendix 1 (fig. 1.1A) was developed for the location (meter 0) along our seismic profile nearest to the SCSN OLI strong-motion recording station. Fundamental mode dispersion curve picks (red circles) are between phase velocities of approximately 250 and 2,300 m/s and frequencies between 2 and 17 Hz. Rayleigh-wave fundamental mode dispersion curve picks across the entire length of the profile (fig. 2.1A) generally coincide with phase velocities between approximately 200 and 2,500 m/s and frequencies between 3 and 20 Hz. The Rayleigh-wave 1-D depth-velocity model (fig. 3.1A) nearest to the strong-motion recording station shows a weak positive gradient in VS in the upper 30 m of the subsurface and stronger positive gradient in Vs below 30 m depth. We calculated (a) VS30 to be 371 nearest to the SCSN OLI strong-motion recording station, with (b) VS30 ranging from 237 to 371 m/s, and (c) an average VS30 of 291 m/s across the profile (table 3).

A Love-wave dispersion curve shown in appendix 1 (fig. 1.1C) was developed for the location (meter 0) along our seismic profile that was nearest to the SCSN OLI strong-motion recording station. Fundamental mode dispersion curve picks (red circles) coincide with phase velocities between approximately 250 and 2,300 m/s at frequencies between 2 and 24 Hz; we do not observe higher mode dispersion curves. The Love-wave fundamental mode dispersion curve picks across the entire length of the profile (fig. 2.1C) generally coincide with phase velocities between approximately 200 and 2,000 m/s at frequencies between 2 and 25 Hz. The Love-wave 1-D velocity-depth model (fig. 3.1C) nearest to the strong-motion recording station shows gradual positive gradient in VS below approximately 10 m depth. We calculated (a) VS30 to be 410 m/s nearest to the SCSN OLI strong-motion recording station, with (b) VS30 ranging from 258 to 410 m/s (as measured at each meter along the profile), and (c) an average VS30 of 309 m/s along the entire profile (table 3).

Velocity Models and Dispersion Curves   11

W

Depth (m)

0 10

E

400

500

00

20 30 40

600

700 800 900 1000

1000

La17−1.e1.27

1100

0 10 20 VE = 1

30

40 50

60

70 80 90 100 110 120 130 140 150 160 Distance (m) EXPLANATION V (m/s) P 400

700

1000

Figure 8. P-wave refraction tomography model for profile LA17-1-OLI. P-wave velocities range from approximately 375 meters per second (m/s) in the near surface to 1,050 m/s at 40 m depth. P-wave velocities are higher near the west end of the seismic profile and at depth. (W, west; E, east; VE, vertical exaggeration; VP, P-wave velocity.)

W

E

0

200

Depth (m)

10

400

20

600

30 00 40

800

50 60

LA17−1s.c9.29

0 10 20 VE = 1

30

1000 1000 1200

40 50

60

70 80 90 100 110 120 130 140 150 160 Distance (m) EXPLANATION V (m/s) S 200

600

1000

Figure 9. S-wave refraction tomography model for profile LA17-1-OLI. S-wave velocities range from approximately 200  meters per second (m/s) near the surface to approximately 1100 m/s at 60 meters (m) depth. S-wave velocities are slightly higher near the western half of the seismic profile. (W, west; E, east; VE, vertical exaggeration; VS, S-wave velocity.)

12   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California Table 3. VS30 values for seven seismic profiles near strong-motion recording stations located at Southern California Edison substations. [m/s, meters per second; NA, not applicable; 2-D, two dimensional; kg, kilograms; AWD, accelerated weight-drop]

Model

LA17-1-OLI SCSN OLI

LA17-1b-OLI SCSN OLI

LA17-2-SRN SCSN SRN

LA17-3-MUR SCSN MUR

LA17-4-LCG SCSN LCG

LA17-5-RUS SCSN RUS

LA17-6-STC SCSN STC

Range of VS30 along seismic profile (m/s) S-wave refraction tomography

290–362

NA

470–588

497–769

518–774

393–490

372–504

2-D MASRW (226-kg AWD)

237–371

281–362

344–429

557–651

357–425

310–330

269–318

2-D MASLW (3.5-kg sledgehammer)

241–494

NA

415–475

318–508

513–645

288–351

302–331

2-D MASLW (45° AWD)

258–410

NA

435–486

318–543

NA

NA

NA

Average VS30 (m/s) across profile S-wave refraction tomography

334

NA

542

685

660

448

443

2-D MASRW (226-kg AWD)

291

309

383

592

374

310

294

2-D MASLW (3.5-kg sledgehammer)

289

NA

444

463

555

308

320

2-D MASLW (45° AWD)

309

NA

462

491

NA

NA

NA

Approximate VS30 nearest to strong-motion recording station (m/s) S-wave refraction tomography

320

NA

537

497

595

468

377

2-D MASRW (226-kg AWD)

371

330

379

613

425

305

311

2-D MASLW (3.5-kg sledgehammer)

494

NA

432

318

645

351

330

2-D MASLW (45° AWD)

410

NA

443

318

NA

NA

NA

Our 2-D MASLW VS model along the LA17-1-OLI seismic profile (fig. 10C) shows that VS ranges from approximately 150  m/s near the surface to approximately 650 m/s at 40 m depth. Modeled VS is slightly higher at depth in the western half of the seismic profile, with a channel-like velocity structure near distance meter 130.

Profile LA17-1b—Olinda (SCSN OLI) P-wave Refraction Tomography (VP) Model VP ranges from approximately 500 m/s near the surface to approximately 1,800 m/s at 45 m depth (fig. 11). Velocity contours are generally sub-parallel, and there are slightly higher velocities in the southern half of the seismic profile. The strong-motion recording station (SCSN OLI) is approximately 10 m east of our seismic profile and nearest to distance meter 16. The 1,500 m/s contour, which has been

shown to coincide with the top of groundwater in other studies (Catchings and others, 2001, 2006, 2013, 2014, 2017), is located at approximately 30–40 m depth.

MASRW 2-D S-wave Velocity Model An MASRW Rayleigh-wave dispersion curve shown in appendix 1 (fig. 1.1D) was developed for the location (meter 16) along our seismic profile that was nearest to the SCSN OLI strong-motion recording station. Fundamental mode dispersion curve picks (red circles) coincide with phase velocities between approximately 250 and 1,400 m/s and frequencies between 3 and 12 Hz. Rayleigh-wave fundamental mode dispersion curve picks across the entire length of the profile (fig. 2.1D) generally coincide with phase velocities between approximately 200 and 1,500 m/s at frequencies between 3 and 21 Hz. The Rayleigh-wave 1-D velocity-depth model (fig. 3.1D) for the geophone nearest to the strong-motion recording station shows a gradual positive gradient in VS below approximately 8 m depth. We calculated (a) VS30 to be

Velocity Models and Dispersion Curves   13

A

Depth (m)

0

Depth (m)

400 450

0 10 20 VE = 1

30

40

50

60

70 80 90 100 110 120 130 140 150 160 Distance (m) MASLW

W

E 200 250 300

10 20

350 400 450 500

30

0

0 10 20 VE = 1

30

40

50

60

E 200

20 30 0 10 20 VE = 1

EXPLANATION VS Velocity (m/s) 200

70 80 90 100 110 120 130 140 150 160 Distance (m) MASLW

W

10

40

200 250

350

30

40

Depth (m)

300

20

0

C

E

10

40

B

MASRW

W

450

700

30

40

50

60

250 300 350 400 450 500

70 80 90 100 110 120 130 140 150 160 Distance (m)

Figure 10. Two-dimensional MASRW and MASLW shear-wave velocity models for profile LA17-1-OLI. A, S-wave velocities for our MASRW model range from approximately 150 meters per second (m/s) near the surface to approximately 650 m/s at 40 meters (m) depth. B, MASLW model developed from data generated by a 3.5-kilogram-sledgehammer and aluminum shear-wave block source. S-wave velocities range from approximately 150 m/s near the surface to approximately 650 m/s at 40 m depth. C, MASLW model developed from data generated by a 45°-angle accelerated weight-drop and aluminum shear-wave block source. S-wave velocities range from approximately 150 m/s near the surface to approximately 650 m/s at 40 m depth. All three multichannel analysis of surface waves models show slightly higher S-wave velocities in the western third of the seismic profile and a channel-like velocity structure near distance meter 130. (W, west; E, east; VE, vertical exaggeration; VS, S-wave velocity.)

14   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California

S 0

600

800

10 Depth (m)

N

1000

20 1200

1200

1400

1400

30 40

1600

1800

1800

LA17−1b.e1.27

0 10 VE = 1

20

30

40

50

60 70 Distance (m)

80

90

100

110

120

EXPLANATION groundwater V (m/s) P 400

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Figure 11. P-wave refraction tomography model for profile LA17-1b-OLI. P-wave velocities range from approximately 500 meters per second (m/s) near the surface to approximately 1,800 m/s at approximately 45 meters (m) depth. P-wave velocities are higher near the south end of the seismic profile at depth. Prior studies suggest the top of groundwater (white dashed line) coincides with 1,500 m/s P-wave velocity contour. (S, south; N, north; VE, vertical exaggeration; VP, P-wave velocity.)

336 m/s nearest to the SCSN OLI strong-motion recording station, with (b) a range of VS30 between 281 and 362 m/s (measured at each meter along the profile), and (c) an average VS30 of 309 m/s for the entire profile (table 3). Our 2-D MASRW VS model along the LA17-1b-OLI seismic profile (fig. 12) indicates that VS ranges from approximately 200  m/s near the surface to approximately 550 m/s at 40 m depth. Model velocity contours are generally sub-parallel, and VS is slightly higher at depth in the southern third (between distance meters 0 and 40) of the seismic profile. We observe high-velocity contours in the upper south corner of the model, which we interpret as artifacts due to lack of S-wave data in that area.

Profile LA17-2—Serrano (SCSN SRN)

SCSN SRN strong-motion recording station was approximately 200 m southeast of our seismic profile and nearest to distance meter 124. The 1,500 m/s velocity contour (top of groundwater) varies between about 35 and 45 m beneath the surface.

S-wave Refraction Tomography (VS) Model VS determined from refraction tomography ranges from approximately 400 m/s near the surface to approximately 900 m/s at 40 m depth (fig. 14). VS is lower near the northeast end of the seismic profile between distance meters 100 and 170. We calculated (a) VS30 along the profile to range between 470 and 588 m/s (measured at each meter along the profile), with (b) a VS30 of 537 m/s nearest (meter 124) to the SCSN SRN strong-motion recording station (table 3).

P-wave Refraction Tomography (VP) Model

MASRW 2-D S-wave Velocity Model

VP ranges between approximately 700 m/s near the surface to approximately 2,000 m/s at 50 m depth (fig. 13). VP is lower near both the southwest and northeast ends of the seismic profile. The

We present an MASRW (Rayleigh-wave) dispersion curve (fig. 1.2A) for the location (meter 124) along our seismic profile nearest to the SCSN SRN strong-motion recording

Velocity Models and Dispersion Curves   15

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Figure 12. Two-dimensional MASRW shear-wave velocity model for profile LA17-1b-OLI. S-wave velocities for our MASRW model range from approximately 200 meters per second (m/s) near the surface to approximately 550 m/s at 40 meters (m) depth. (S, south; N, north; VE, vertical exaggeration; VS, S-wave velocity.)

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Figure 13. P-wave refraction tomography model for profile LA17-2-SRN. P-wave velocities range from approximately 700 meters per second (m/s) near the surface to approximately 2,000 m/s at approximately 45 meters (m) depth. Top of groundwater is shown as a dashed line. (SW, southwest; NE, northeast; VE, vertical exaggeration; VP, P-wave velocity.)

16   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California

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Figure 14. S-wave refraction tomography model for profile LA17-2-SRN. S-wave velocities range from approximately 400 meters per second (m/s) near the surface to approximately 900 m/s at approximately 40 meters (m) depth. S-wave velocities are lower near the northeast end of the seismic profile. (SW, southwest; NE, northeast; VE, vertical exaggeration; VS, S-wave velocity.)

station. Fundamental mode dispersion curve picks (red circles) coincide with phase velocities between approximately 250 and 1,000 m/s at frequencies between 4 and 22 Hz. Rayleigh-wave fundamental mode dispersion curve picks along the entire length of the profile (fig. 2.2A) generally coincide with phase velocities between approximately 250 and 2,500 m/s at frequencies between 2 and 40 Hz. Our Rayleigh-wave 1-D depth-velocity profile (fig. 3.2A) at the geophone nearest to the strong-motion recording station shows a positive gradient in VS below approximately 2 m depth. We calculated (a) VS30 to be 379 m/s nearest to the SCSN SRN strong-motion recording station, with (b) VS30 ranging between 344 and 429 m/s (measured at each meter along the profile), and (c) an average VS30 of 383 m/s along the entire profile (table 3). We developed a VS model for the LA17-2-SRN seismic profile by evaluating Rayleigh-waves with the MASW technique. Our 2-D MASRW VS model for the LA17-2-SRN seismic profile (fig. 15A) indicates VS ranges from approximately 300 m/s near the surface to approximately 900 m/s at 50 m depth. Our model shows undulating velocity contours below approximately 20 m depth along the entire seismic profile.

approximately 250 and 1,200 m/s at frequencies between 2 and 30 Hz. The Love-wave fundamental mode dispersion curve picks along the entire length of the profile (fig. 2.2B) generally coincide with phase velocities between approximately 250 and 2,500 m/s at frequencies between 1 and 40 Hz. Our Love-wave 1-D velocity depth model (fig. 3.2B) for the location nearest to the strong-motion recording station shows a gradual increase in VS between approximately 2 and 20 m depth, then a gradual decrease in VS between approximately 20 and 40 m depth. We calculated (a) VS30 to be 432 m/s nearest to the SCSN SRN strong-motion recording station, with (b) the VS30 ranging from approximately 415 to approximately 475 m/s (measured at each meter along the profile), and (c) VS30 averaging 444 m/s along the entire profile (table 3). Our 2-D MASLW VS model along the LA17-2-SRN seismic profile (fig. 15B) shows VS ranges from approximately 350  m/s near the surface to approximately 850 m/s at 50 m depth. Our model shows undulating velocity contours, which suggest complex geologic structures, such as bedrock, at depth.

MASLW 2-D S-wave Velocity Model—3.5-kg Sledgehammer Source

An MASLW (Love-wave) dispersion curve shown in figure  1.2C was developed for the location (meter 124) of our seismic profile that was nearest to the SCSN SRN strong-motion recording station. Fundamental mode dispersion curve picks (red circles) are between phase velocities approximately 250 and 1,100  m/s at frequencies between 2 and 30 Hz. Love-wave fundamental mode dispersion curve picks across the entire length of the profile (fig. 2.2C) are generally at phase velocities between

The MASLW (Love-wave) dispersion curve shown in figure 1.2B was developed for the location (meter 124) along our seismic profile nearest to the SCSN SRN strong-motion recording station. Fundamental mode dispersion curve picks (red circles) coincide with phase velocities between

MASLW 2-D S-wave Velocity Model—45°-Angle Weight-Drop Source

Velocity Models and Dispersion Curves   17

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Figure 15. Two-dimensional MASRW and MASLW shear-wave velocity models for profile LA17-2-SRN. A, S-wave velocities for our MASRW model range from approximately 300 meters per second (m/s) near the surface to approximately 900 m/s at 50 meters (m) depth. B, MASLW model developed from data generated by 3.5-kilogram sledgehammer and aluminum shear-wave block sources. S-wave velocities range from approximately 350 m/s near the surface to approximately 850 m/s at 50 m depth. C, MASLW model developed from data generated by 45°-angle accelerated weight-drop and aluminum shear-wave block sources. S-wave velocities range from approximately 350 m/s near the surface to 800 m/s at 50 m depth. All three multichannel analysis of surface waves models show undulating velocity contours along the entire profile. Shaded areas represent regions with few data points. (SW, southwest; NE, northeast; VE, vertical exaggeration; VS, S-wave velocity.)

18   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California approximately 250 and 1,600 m/s at frequencies between 2 and 40 Hz. Our Love-wave 1-D velocity-depth model (fig. 3.2C) for the location nearest to the strong-motion recording station shows a gradual increase in VS below approximately 2 m depth. We calculated (a) VS30 to be 443 m/s nearest to the SCSN SRN strong-motion recording station, with (b) VS30 ranging between 435 and 486 m/s (measured at each meter along the profile) and (c) VS30 averaging 462 m/s along the profile (table 3). Our 2-D MASLW VS model along the seismic profile LA17-2-SRN (fig. 15C) indicates VS ranges between approximately 350 m/s at the near surface to 800 m/s at 50 m depth. Our model shows undulating velocity contours, which suggest complex structures at depth.

nearest to distance meter 0. The 1,500 m/s velocity contour (top of groundwater) varies between about 10 and 25 m beneath the surface, and the top of groundwater appears shallower in the northeastern half of the profile (distance meter 50 to 120).

S-wave Refraction Tomography (VS) Model VS along the SCSN MUR seismic profile, as determined from refraction tomography, ranges between approximately 400  m/s near the surface and approximately 1,800 m/s at 30 m depth (fig. 17). Similar to the VP model, VS is lower near the southwest end of the seismic profile between distance meters 0 and 70. On the basis of our VS tomography model, we calculated VS30 along the profile, which ranges between 497 and 769 m/s (measured at each meter along the profile), and the VS30 nearest to the SCSN MUR strong-motion station (distance meter 0) is 497 m/s (table 3).

Profile LA17-3—Murrieta (SCSN MUR) P-wave Refraction Tomography (VP) Model

MASRW 2-D S-wave Velocity Model

Along the SCSN MUR seismic profile, VP ranges between approximately 500 m/s near the surface and approximately 3,500 m/s at 30 m depth (fig. 16). VP is lower near the southwest end of the seismic profile, between distance meters 0 and 70. The SCSN MUR strong-motion recording station is approximately 40 m southwest of our seismic profile and

We present a Rayleigh-wave dispersion curve (fig. 1.3A) for the location (meter 0 of our seismic profile) nearest to the SCSN MUR strong-motion recording station. Fundamental mode dispersion curve picks (red circles) range between phase velocities of approximately 250 and 1,500 m/s at

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Figure 16. P-wave refraction tomography model for profile LA17-3-MUR (station SCSN MUR). P-wave velocities range between approximately 500 meters per second (m/s) near the surface and 3,500 m/s at approximately 30 meters (m) depth. Top of groundwater is shown as a dashed line. (SW, southwest; NE, northeast; VE, vertical exaggeration; VP, P-wave velocity.)

Velocity Models and Dispersion Curves   19

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Figure 17. S-wave refraction tomography model for profile LA17-3-MUR (SCSN MUR). S-wave velocities range between approximately 400 meters per second (m/s) near the surface and 1,800 m/s at approximately 30 meters (m) depth. VS is lower along the southwestern half of the seismic profile. (SW, southwest; NE, northeast; VE, vertical exaggeration; VS, S-wave velocity.)

frequencies between 4 and 20 Hz. Rayleigh-wave fundamental mode dispersion curve picks along the length of the profile (fig. 2.3A) range between phase velocities of approximately 100 and 2,600 m/s at frequencies between 4 and 45 Hz. Our derived Rayleigh-wave 1-D velocity model (fig. 3.3A) for the area of the SCSN MUR seismic profile nearest to the strong-motion recording station includes a positive gradient between approximately 8 and approximately 18 m depth and below approximately 36 m depth. From the Rayleigh-wave data, we calculated (a) VS30 to be 613 m/s nearest to the SCSN MUR strong-motion recording station, with (b) a range of VS30 between 557 and 651 m/s along the profile (calculated at each meter along the profile), and (c) an average VS30 of 592 m/s for the entire profile (table 3). We developed a VS model for the LA17-3-MUR seismic profile by evaluating Rayleigh-waves with the MASW technique. Our 2-D MASRW VS model for the SCSN MUR seismic profile (fig. 18A) suggests VS ranges between approximately 300 m/s near the surface and approximately 1400 m/s at 40 m depth. Our model shows undulating velocity contours below approximately 8 m depth and channel-like structures centered near distance meters 40 and 80 along the profile. VS is higher near the northeast end of the profile below approximately 5 m depth.

MASLW 2-D S-wave Velocity Model—3.5-kg Sledgehammer Source We present a Love-wave dispersion curve (fig. 1.3B) for the location (meter 0 of our seismic profile) nearest to the SCSN MUR strong-motion recording station. Fundamental mode dispersion curve picks (red circles) range between phase velocities approximately 250 and 1,500 m/s and frequencies between 4 and 32 Hz. Love-wave fundamental mode dispersion curve picks for sites along the length of the profile (fig. 2.3B) generally coincide with phase velocities between approximately 200 and 1,500 m/s and frequencies between 3 and 33 Hz. Our Love-wave 1-D velocity model (fig. 3.3B) for the site (meter 0) nearest to the strong-motion recording station indicates a positive VS gradient at all depths. From the Love-wave data, we calculated (a) VS30 to be 318 m/s nearest to the SCSN MUR strong-motion recording station, with (b) a range of VS30 between 318 and 508 m/s (calculated at every meter along the profile), and (c) an average VS30 of 463 m/s for the entire profile (table 3). We developed a 2-D MASLW VS model for the seismic profile LA17-3-MUR (fig. 18B) near the SCSN MUR strong-motion station. Our model indicates VS ranges between approximately 300 m/s near the surface and approximately 900 m/s at 40 m depth. Our model shows undulating velocity

20   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California

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Figure 18. Two-dimensional MASRW and MASLW VS models for profile LA17-3-MUR near the SCSN MUR strong-motion recording station. A, VS for MASRW model ranges between approximately 300 meters per second (m/s) near the surface and approximately 1,400 m/s at 40 meters (m) depth. Gray box between distance meters 110 and 115 represents an area of low confidence due to unclear dispersion curves. B, MASLW VS model derived from data generated by the 3.5-kilogram sledgehammer and aluminum block source. VS ranges between approximately 300 m/s near the surface and 900 m/s at 40 m depth. C, MASLW VS model derived from data generated by the 45°-angle accelerated weight-drop and aluminum block source. VS ranges between approximately 300 m/s near the surface and 900 m/s at 40 m depth. All three multichannel analysis of surface waves models show undulating velocity contours across the profile. (SW, southwest; NE, northeast; VE, vertical exaggeration; VS, S-wave velocity.)

Velocity Models and Dispersion Curves   21 contours along much of the profile, with VS values higher below approximately 25 m near the northeast and southwest ends of the profile.

model shows undulating velocity contours throughout much of the profile, and VS is higher below approximately 25 m at both the northeast and southwest ends of the profile.

MASLW 2-D S-wave Velocity Model—45°-Angle Weight-Drop Source

Profile LA17-4—La Cienega (SCSN LCG)

We present a Love-wave dispersion curve (fig. 1.3C) for the location (meter 0) on our seismic profile nearest to the SCSN MUR strong-motion recording station. Fundamental mode dispersion curve picks (red circles) range between phase velocities of approximately 250 and 1,500 m/s and frequencies between 4 and 32 Hz. Love-wave fundamental mode dispersion curve picks across the length of the profile (fig. 2.3C) are generally at phase velocities between approximately 200 and 2,500 m/s and frequencies between 3 and 30 Hz. The Love-wave 1-D depth-velocity profile (fig. 3.3C) nearest to the strong-motion recording station shows a gradual increase in VS at all depths. We calculated (a) VS30 to be 318 m/s nearest to the SCSN MUR strong-motion recording station, (b) VS30 at each meter along the profile to range between 318 and 543 m/s, and (c) the average VS30 along the entire profile to be 491 m/s (table 3). Our 2-D MASLW VS model along the LA17-3-MUR seismic profile (fig. 18C) shows VS ranges between approximately 300 m/s near the surface and approximately 900 m/s at 40 m depth. Our

P-wave Refraction Tomography (VP) Model Along the LA17-4-LCG seismic profile near the SCSN LCG, VP ranges between approximately 700 m/s near the surface and approximately 2,200 m/s at 25 m depth (fig. 19). VP is relatively higher below approximately 10 m depth at distance meters between approximately 25 and 55. The SCSN LCG strong-motion recording station is approximately 120 m northwest of our seismic profile and nearest to distance meter 120 of the profile. The 1,500  m/s velocity contour (top of groundwater) varies between about 10 to 20 m beneath the surface.

S-wave Refraction Tomography (VS) Model Our VS refraction tomography model along the LA17-4-LCG seismic profile indicates that VS ranges between approximately 400 m/s near the surface and approximately 1,100 m/s at 30 m depth (fig. 20). VS is relatively higher between distance meters approximately 20 and 60, with undulating velocity contours in the

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Figure 19. P-wave refraction tomography model for profile LA17-4-LCG. P-wave velocities (VP) range between approximately 700 m/s near the surface and 2,200 m/s at approximately 25 m depth. VP is lower in the northwest and southeast ends of the seismic profile. Top of groundwater is shown as a dashed line. (SE, southeast; NW, northwest; VE, vertical exaggeration; VP, P-wave velocity.)

22   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California

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Figure 20. S-wave refraction tomography velocity model for profile LA17-4-LCG. VS ranges between approximately 400 meters per second (m/s) in the near surface and 1,100 m/s at approximately 30 meters (m) depth. VS is lower near the northwest and southeast ends of the seismic profile. (SE, southeast; NW, northwest; VE, vertical exaggeration; VS, S-wave velocity.)

upper approximately 10 m of the subsurface. We calculated VS30 along the profile to be between 518 and 774 m/s. Calculated VS30 nearest to the SCSN LCG strong-motion station (at distance meter 120 of our seismic profile) is 595 m/s (table 3).

MASRW 2-D S-wave Velocity Model We present a Rayleigh-wave dispersion curve (fig. 1.4A) for the location (meter 120) on our seismic profile that is nearest to the SCSN LCG strong-motion recording station. Fundamental mode dispersion curve picks (red circles) are between phase velocities of approximately 250 and 1,600 m/s and frequencies between 2 and 56 Hz. Rayleigh-wave fundamental mode dispersion curve picks for the entire length of the profile (fig. 2.4A) are generally at phase velocities between approximately 250 and 1,500 m/s and frequencies between 2 and 56 Hz. Our Rayleigh-wave 1-D depth-velocity profile (fig. 3.4A) for our geophone that was nearest to the SCSN LCG strong-motion recording station shows a gradual increase in VS below approximately 12 m depth. We calculated (a) VS30 to be 425 m/s nearest to the SCSN LCG strong-motion recording station, (b) VS30 at each meter along the profile to range between 357 and 425 m/s, and (c) the average VS30 across the entire profile to be 374 m/s (table 3). We developed a VS model for the LA17-4-LCG seismic profile by evaluating Rayleigh-waves with the MASW technique. Our 2-D MASRW VS model along the LA17-4-LCG seismic profile (fig. 21A) shows VS ranges between approximately 300 m/s near the surface and approximately

650 m/s at 40 m depth. Our model shows a channel-like structure (VS less than 400 m/s) centered at distance meter 90, extending to approximately 35 m depth. VS is generally between approximately 300 and 400 m/s in the upper 35 m of the subsurface and increases to approximately 650 m/s at depths between 35 and 40 m. VS is higher at the southeast end of the profile at depths below approximately 20 m.

MASLW 2-D S-wave Velocity Model—3.5-kg Sledgehammer Source We show a Love-wave dispersion curve (fig. 1.4B) for the location (meter 120) along our seismic profile that was nearest to the SCSN LCG strong-motion recording station. Fundamental mode dispersion curve picks (red circles) correlate phase velocities between approximately 250 and 1,600 m/s and frequencies between 2 and 56 Hz. Love-wave fundamental mode dispersion curve picks along the entire length of the profile (fig. 2.4B) generally coincide with phase velocities between approximately 150 and 1,600 m/s and frequencies between 2 and 70 Hz. A Love-wave 1-D depth-velocity profile (fig. 3.4B) for the part of seismic profile nearest to the SCSN LCG strong-motion recording station shows a gradual increase in VS between 2 and 40 m depth. We calculated (a) VS30 to be 645 m/s nearest to the SCSN LCG strong-motion recording station, (b) VS30 at each meter along the profile to be between 513 and 645 m/s, and (c) the average VS30 along the entire profile to be 555 m/s (table 3).

Velocity Models and Dispersion Curves   23

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Figure 21. Two-dimensional MASRW- and MASLW-derived shear-wave velocity models for profile LA17-4-LCG. A, MASRW-based VS ranges between approximately 300 meters per second (m/s) near the surface and approximately 650 m/s at approximately 40 meters (m) depth. B, MASLW data were generated using a 3.5-kilogram sledgehammer and aluminum block. VS ranges between approximately 300 m/s near the surface and 650 m/s at 40 m depth. Both MASW-based models show undulating and complex velocity contours along the entire profile. Shaded areas represent regions with few data points. (SE, southeast; NW, northwest; VE, vertical exaggeration; VS, S-wave velocity.)

We developed a 2-D MASLW VS model along the LA17-4-LCG seismic profile (fig. 21B) using Love-waves. Our model shows VS ranges between approximately 300 m/s near the surface and approximately 650 m/s at 40 m depth. Our model shows undulating velocity contours throughout much

of the profile and a channel-like velocity structure (VS less than 500 m/s) centered at distance meter 90, which extends past the maximum depth of our model at 40 m. VS is relatively high below approximately 20 m near both the southeast and northwest ends of the profile.

24   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California

Profile LA17-5—Rush (SCSN RUS) P-wave Refraction Tomography (VP) Model We developed a VP model along the LA17-5-RUS seismic profile near the SCSN RUS strong-motion recording station. Along our profile, VP ranges between approximately 300 m/s near the surface and approximately 1,700 m/s at 20 m depth (fig. 22). Velocity contours are generally sub-horizontal in the upper approximately 13 m of the subsurface, and VP is generally higher between distance meters 0 and 50 along the profile. The SCSN RUS strong-motion recording station is approximately 87 m southwest of our seismic profile and nearest to distance meter 0 of the profile. The 1,500 m/s velocity contour (top of groundwater) appears at two discreet locations at depths below approximately 15, which may suggest a perched water table.

S-wave Refraction Tomography (VS) Model We developed a S-wave refraction tomography model along the LA17-5-RUS seismic profile using first-arrival S-waves. Our refraction tomography derived VS values range between approximately 300 near the surface and approximately 550 m/s at 25 m depth (fig. 23). VS is relatively higher between distance meters approximately 25 and 60, and a minor basin-like velocity

structure is apparent between distance meters approximately 60 and 120. We calculated VS30 at every meter along the profile to range between 393 and 490 m/s. VS30 nearest to the SCSN RUS strong-motion station (distance meter 0 of our seismic profile) is calculated to be 468 m/s (table 3).

MASRW 2-D S-wave Velocity Model We developed a VS model for the LA17-5-RUS seismic profile by evaluating Rayleigh-waves with the MASW technique. We show a Rayleigh-wave dispersion curve (fig. 1.5A) for the location (meter 0 of our seismic profile) nearest to the SCSN RUS strong-motion recording station. Fundamental mode dispersion curve picks (red circles) correlate with phase velocities between approximately 200 and 800 m/s and frequencies between 2 and 32 Hz. Rayleigh-wave fundamental mode dispersion curve picks for the entire length of the profile (fig. 2.5A) correlate with phase velocities between approximately 200 and 1,300 m/s and frequencies between 2 and 60 Hz. A Rayleigh-wave 1-D depth-velocity profile (fig. 3.5A) nearest to the SCSN LCG strong-motion recording station shows a gradual increase in VS at all depths. We calculated (a) VS30 to be 305 m/s nearest to the SCSN LCG strong-motion recording station, (b) VS30 at each meter along the profile to be between 310 and 330 m/s, and (c) the average VS30 along the entire profile to be 310 m/s (table 3).

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Figure 22. P-wave refraction tomography velocity model for the LA17-5-RUS profile. VP ranges between approximately 300 meters per second (m/s) near the surface and 1,700 m/s at approximately 20 meters (m) depth. VP is relatively higher near the western half of the profile at all depths. (W, west; E, east; VE, vertical exaggeration; VP, P-wave velocity.)

Velocity Models and Dispersion Curves   25

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Figure 23. S-wave refraction tomography model for the LA17-5-RUS profile. VS ranges between approximately 300 meters per second (m/s) near the surface and 550 m/s at approximately 25 meters (m) depth. Higher values of VS occur at shallower depths between distance meters approximately 25 and 60 m of the profile. VS is generally higher in the west end of the seismic profile. (W, west; E, east; VE, vertical exaggeration; VS, S-wave velocity.)

We also developed a 2-D MASRW VS model along the seismic profile LA17-5-RUS (fig. 24A) using Rayleigh-waves. Our model shows VS ranges between approximately 200 m/s near the surface and approximately 650 m/s at 40 m depth. Our model shows VS ranges between 200 and 350 m/s in the upper 25 m of the subsurface with a higher gradient below approximately 25 m depth. VS is higher at both the west and east ends of the profile at depths below approximately 10 m.

MASLW 2-D S-wave Velocity Model—3.5-kg Sledgehammer Source We developed a Love-wave dispersion curve (fig. 1.5B) for the location (meter 0 on our seismic profile) nearest to the SCSN RUS strong-motion recording station. Fundamental mode dispersion curve picks (red circles) correlate with phase velocities between approximately 150 and 800 m/s and frequencies between 2 and 24 Hz. Love-wave fundamental mode dispersion curve picks along the entire profile (fig. 2.5B) correlate with phase velocities between approximately 150 and 1,200 m/s and frequencies between 2 and 40 Hz. The Love-wave 1-D depth-velocity profile (fig. 3.5B) nearest to the SCSN RUS strong-motion recording station shows a gradual increase in VS below approximately 2 m depth. We calculated (a) VS30 to be 351 m/s nearest to the SCSN RUS strong-motion

recording station, (b) VS30 at each meter along the profile to be between 288 and 351 m/s, and (c) the average VS30 across the entire profile to be 308 m/s (table 3). We developed a 2-D MASLW VS model along the LA17-5-RUS seismic profile (fig. 24B). Our model shows VS ranges between approximately 250 m/s near the surface and approximately 800 m/s at 40 m depth. Our model shows VS ranges between 200 and 350 in the upper 20 m of the subsurface, with a relatively higher gradient below 20 m depth. VS is generally higher at both west and east ends of the seismic profile at depths below approximately 10 m.

Profile LA17-6—Santa Clara (SCSN STC) P-wave Refraction Tomography (VP) Model We developed a refraction tomography P-wave velocity model from first arrival refractions. In our model, VP ranges between approximately 350 m/s near the surface and approximately 1400 m/s at 45 m depth (fig. 25). Velocity contours are generally sub-horizontal along the entire seismic profile at all depths in the upper 45 m of the subsurface. The SCSN STC strong-motion recording station was located approximately 240 m northwest of our seismic profile and nearest to distance meter 120 of our profile.

26   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California

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Figure 24. Two-dimensional MASRW and MASLW shear-wave velocity models for profile LA17-5-RUS. A, Our MASRW-derived VS ranges between approximately 200 meters per second (m/s) near the surface and approximately 650 m/s at approximately 40 meters (m) depth. B, Two-dimensional MASLW model (derived from a 3.5-kg sledgehammer and aluminum block source) indicates VS ranges between approximately 250 m/s near the surface and approximately 800 m/s at 40 m depth. Both MASW-based models show VS to be between 250 and 400 m/s in the upper 20 m of the subsurface, with higher VS gradients below 20 m. Shaded areas represent regions with few data points. (W, west; E, east; VE, vertical exaggeration; VS, S-wave velocity.)

Velocity Models and Dispersion Curves   27

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Figure 25. P-wave refraction tomography model for profile LA17-6-STC. P-wave velocities range between approximately 350 meters per second (m/s) near the surface and 1,400 m/s at approximately 45 meters (m) depth. (SE, southeast; NW, northwest; VE, vertical exaggeration; VP, P-wave velocity.)

S-wave Refraction Tomography (VS) Model We developed an S-wave refraction tomography model from first-arrival shear-waves. Our model shows that VS ranges between approximately 300 m/s near the surface and approximately 700 m/s at 25 m depth (fig. 26). VS contours are generally sub-parallel between distance meters 0 and approximately 65 along the profile. We calculated VS30 at every meter along the profile to be between 372 and 504 m/s and calculated VS30 nearest to the SCSN STC strong-motion station (near distance meter 120 of our seismic profile) to be 377 m/s (table 3).

MASRW 2-D S-wave Velocity Model We developed a Rayleigh-wave dispersion curve (fig. 1.6A) for the location nearest to the SCSN STC strong-motion recording station (meter 120 of our seismic

profile). Fundamental mode dispersion curve picks (red circles) correlate with phase velocities between approximately 200 and 500 m/s and frequencies between 4 and 60 Hz. Rayleigh-wave fundamental mode dispersion curve picks along the entire length of the profile (fig. 2.6A) generally correlate at phase velocities between approximately 150 and 1,400 m/s and frequencies between 2 and 70 Hz. The Rayleigh-wave 1-D depth-velocity profile (fig. 3.6A) nearest to the SCSN STC strong-motion recording station indicates a gradual increase in VS below approximately 8 m depth. We calculated (a) VS30 to be 311 m/s nearest to the SCSN STC strong-motion recording station, (b) VS30 at each meter along the profile to range between 269 and 318 m/s, and (c) the average VS30 along the entire profile to be 294 m/s (table 3). We developed a VS model for the LA17-6-STC seismic profile by evaluating Rayleigh-waves with the MASW technique. Our 2-D MASRW VS model along the seismic profile

28   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California

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Figure 26. S-wave refraction tomography model for the LA17-6-STC seismic profile. VS ranges between approximately 300 meters per second (m/s) near the surface and 700 m/s at approximately 25 meters (m) depth. VS is generally lower near the northwest half of the seismic profile. (SE, southeast; NW, northwest; VE, vertical exaggeration; VS, S-wave velocity.)

LA17-6-STC (fig. 27A) shows VS ranges between approximately 180 m/s near the surface and approximately 550 m/s at 40 m depth. Our VS model shows a channel-like velocity structure below approximately 10 m depth between distance meters approximately 40 and 80. A smaller channel-like velocity structure is also observed between distance meters 90 and 105. VS is higher near both the southeast and northwest ends of the profile at depths below approximately 12 m.

MASLW 2-D S-wave Velocity Model—3.5-kg Sledgehammer Source We present a Love-wave dispersion curve (fig. 1.6B) for the location (meter 120 of our seismic profile) nearest to the SCSN STC strong-motion recording station. Fundamental mode dispersion curve picks (red circles) correlate with phase velocities between approximately 200 and 600 m/s and frequencies between 3 and 55 Hz. Love-wave fundamental mode dispersion curve picks along the entire length of the

profile (fig. 2.6B) generally correlate with phase velocities between approximately 150 and 1,300 m/s and frequencies between 2 and 80 Hz. Our Love-wave 1-D depth-velocity profile (fig. 3.6B) nearest to the SCSN STC strong-motion recording station shows a gradual increase in VS between approximately 2 and 40 m depth. We calculated (a) VS30 to be 330 m/s nearest to the SCSN STC strong-motion recording station, (b) VS30 at each meter along the profile to be between 302 and 331 m/s, and (c) the average VS30 across the entire profile to be 320 m/s (table 3). We developed a 2-D MASLW VS model along the seismic profile LA17-6-STC (fig. 27B). Our model shows VS ranges between approximately 200 m/s near the surface and approximately 450 m/s at 40 m depth. Our VS MASLW-derived model shows a channel-like velocity structure below approximately 10 m depth between distance meters approximately 45 and 95. VS is generally higher near both the southeast and northwest ends of the seismic profile at depths below approximately 10 m.

Velocity Models and Dispersion Curves   29

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Figure 27. Two-dimensional MASRW- and MASLW-derived VS models for profile LA17-6-STC. A, Our MASRW model indicates VS ranges between approximately 180 meters per second (m/s) near the surface and approximately 550 m/s at approximately 40 meters (m) depth. B, Our MASLW model was derived from data generated by 3.5-kilogram sledgehammer and aluminum block source. VS, derived from the MASLW data, ranges between approximately 200 m/s near the surface and approximately 450 m/s at 40 m depth. Both multichannel analysis of surface waves models show channel-like velocity structures near the middle of the profile, between distance meters approximately 40 and approximately 90. Shaded areas represent regions with few data points. (SE, southeast; NW, northwest; VE, vertical exaggeration; VS, S-wave velocity.)

30   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California

VP/VS Ratios The ratio of P-wave velocities to S-wave velocities (VP/ VS) can provide information about the physical state and lithology of subsurface materials (Tatham, 1982; Castagna and others, 1985). We derived VP/VS models for each of the six seismic profiles (appendix 4) in this report by dividing VP by the VS at each node of the refraction tomography models. VP/ VS ratios range between 1 and 3 in all six seismic profiles. VP/ VS ratios along the LA17-1-OLI seismic profile range between approximately 1.3 and 2.6, with the highest VP/VS ratios (more than 2) occurring in the upper 5 m of the subsurface (fig. 4.1). VP/VS ratios along the LA17-2-SRN seismic profile range between approximately 1.2 and 2, with the highest VP/ VS ratios (approximately 2) forming a southwest-dipping feature between distance meters 110 and 170, which coincides with the approximate mapped trace of the Peralta Hills Fault (fig. 4.2). VP/VS ratios along the LA17-3-MUR seismic profile range between 1 and 2, with the highest ratios (approximately 2) occurring at depths below approximately 25 m between distance meters 65 and 95 and occurring at discrete locations at varying depths between distance meters 45 and 105 (fig. 4.3). VP/VS ratios along the LA17-4-LCG seismic profile range between 1.4 and 2.6, with the highest ratios (more than 2) occurring near the south end of the profile in the upper 10 m of the subsurface and at depths below approximately 10 m between distance meters 40 and 115 (fig. 4.4). VP/VS ratios along the LA17-5-RUS seismic profile range between 1 and 3.5, with the highest ratios occurring at depths below approximately 15 m (fig. 4.5). Finally, VP/VS ratios along the LA17-6-STC seismic profile range between 1 and 1.6, with the highest ratios (approximately 1.6) occurring at depths below approximately 15 to 20 meters between distance meters 70 and 100 (fig. 4.6).

Poisson’s Ratios Poisson’s ratios provide information about water-saturation levels and clay content of the soil in subsurface materials (Castagna and others, 1985; Catchings and others, 2006), whereby relatively high Poisson’s ratios above 0.44 (determined from tomographic seismic data) typically coincide with the top of groundwater (Catchings and others, 2006; 2014). We developed Poisson’s ratio models from refraction tomographic VP and VS models using the calculation determined by Thomsen (1990). These models are presented in appendix 5 of this report. Poisson’s ratios along the LA17-1-OLI seismic profile range between approximately 0.02 and 0.4. The highest Poisson’s ratios (approximately 0.4) occur in the upper meter of the subsurface, which may suggest near-surface saturated materials or materials with high clay content on the berm (fig. 5.1). Poisson’s ratios along the LA17-2-SRN seismic profile range between approximately 0.025 and 0.325. The highest Poisson’s ratios (more than 0.3) occur below approximately 5 m depth between distance meters 110 and 155 (fig. 5.2). Whereas Poisson’s ratios along the profile are inconsistent with saturated materials, the highest Poisson’s ratios coincide with a mapped trace of the Peralta Hills Fault,

which indicates fluid accumulation along the fault. Poisson’s ratios along the LA17-3-MUR seismic profile range between approximately 0.1 and 0.325, with highest Poisson’s ratios (more than 0.3) occurring at discreet locations and varying depths along the profile (fig. 5.3). Poisson’s ratios along the LA17-4-LCG seismic profile range between approximately 0.05 and 0.375, with highest Poisson’s ratios (more than 0.35) occurring below approximately 5 m depth between distance meters 25 and 120 and extending to the surface between distance meters 0 and 10 (fig. 5.4). Poisson’s ratios along the LA17-5-RUS seismic profile range between 0.05 and 0.45, with highest ratios (more than 0.45) occurring in a near-horizontal zone at approximately 15 m depth, which suggest the presence of saturated materials or clay (fig. 5.5). Poisson’s ratios along the LA17-6-STC seismic profile range between approximately 0.05 and 0.22. The highest ratios (more than 0.2) occur below approximately 20 m depth between distance meters 70 and 100 (fig. 5.6).

Summary The USGS evaluated VS at six strong-motion recording stations in Southern California Edison substations to better understand the potential for amplified ground shaking during an earthquake. Prior site-characterization studies in California show some sites exhibit considerable lateral variability in shear-wave velocities due to complex geologic structures at depth. We used refraction tomography and MASW methods to evaluate the 2-D VS from body and surface waves data recorded along linear profiles generated by active-source seismic methods. We calculated VS30 at every meter along the linear profiles and compared results between the different methods of analysis.

VS and VS30 Comparisons Profile LA17-1—Olinda (SCSN OLI) S-wave refraction tomography, MASRW, and MASLW models all show slightly higher VS in the west side of the LA17-1-OLI profile, whereas the surface-wave models show a channel-like velocity structure centered near distance meter 130 near the east end of the profile. Orthoimagery (fig. 2) indicates a stream (culvert) may have been rerouted around the eastern portion of the substation. The average VS30 values for the profile (table 3), calculated from S-wave refraction tomography, MASRW, and MASLW (sledgehammer and 45°-angle AWD methods), are 334 meters per second (m/s), 291 m/s, 289 m/s, and 309 m/s, respectively. The various methods show only a 45 m/s difference in VS30 values. At the point on the seismic profile nearest to the strong-motion recording station, VS30 values, calculated from S-wave refraction tomography, MASRW, and MASLW (sledgehammer and 45°-angle AWD) methods, are 320 m/s, 371 m/s, 494 m/s, and 410 m/s, respectively. The various methods show up to a 174 m/s difference (table 3) in VS30 values for the location of the profile nearest to the strong-motion recording

Summary  31 station, with the greatest difference occurring between VS30 derived from the S-wave refraction tomography and MASLW methods. Calculated using surface wave methods, the average VS30 along the seismic profile nearest to the strong-motion recording station are up to 205 m/s higher than the average VS30 for the entire seismic profile, suggesting significant lateral VS variability across the recording site.

Profile LA17-1b—Olinda (SCSN OLI) Our MASRW-derived VS model shows slightly higher VS at the southern part of the LA17-1b-OLI profile between distance meters 0 and 45 (fig. 12). The average VS calculated for the entire profile is 309 m/s, whereas VS calculated at the point nearest to the recording station is 330 m/s. VS30 calculated at every meter along the profile in the north-south direction is smaller in range than those calculated for the west-to-east direction (table 3), which suggests variation in VS is smaller in the north-to-south direction.

Profile LA17-2—Serrano (SCSN SRN) S-wave refraction tomography, MASRW, and MASLW models all show undulating velocity contours, which suggest complex geologic structures at depth (figs. 14 and 15). The Peralta Hills Fault has been mapped as crossing the substation and our seismic profile at approximately distance meters 160–165; our VP/VS and Poisson’s ratios are highest at the same general location, which corroborates the mapped trace of the fault (figs. 4.2 and 5.2). The average VS30 for the profile (table 3), calculated from S-wave refraction tomography, MASRW, and MASLW (sledgehammer and 45°-angle AWD) methods, are 542 m/s, 383 m/s, 444 m/s, and 462 m/s, respectively (a range of 159 m/s). VS30, calculated from S-wave refraction tomography, MASRW, and MASLW (sledgehammer and 45°-angle AWD) methods at the point on the seismic profile nearest to the strong-motion recording station, are 537 m/s, 379 m/s, 432 m/s, and 443 m/s, respectively (a range of 158 m/s). The difference between the average VS30 values calculated for the entire seismic profile and VS30 calculated at the point nearest to the strong-motion recording station is minor (difference up to 19 m/s). Overall, the difference between minimum and maximum VS30 values along the seismic profile ranges between 51 and 118 m/s, with VS30 calculated from the S-wave refraction tomography method having the largest range and higher values than those calculated using surface wave methods. We attribute the differences observed among the different models to the surface wave methods’ difficulty in resolving complex bedrock structures at shallow depths.

Profile LA17-3—Murrieta (SCSN MUR) S-wave refraction tomography and MASRW models both show higher VS in the northeast end of the LA17-3-MUR profile, between distance meters 40 and 100 (S-wave

refraction tomography) and between distance meters 85 and 110 (MASRW). Surface-wave models show more significant undulating velocity contours, which may suggest complex geologic structures in the subsurface; however, there is significant topographic variation along the profile, which causes difficulty for the 1-D surface-wave methods. The average VS30 values for the profile, calculated from S-wave refraction tomography, MASRW, and MASLW (sledgehammer and 45°-angle AWD) methods, are 685 m/s, 592 m/s, 463 m/s, and 491 m/s, respectively. VS30 values (table 3), calculated from S-wave refraction tomography, MASRW, and MASLW (sledgehammer and 45°-angle AWD) methods at the point on the seismic profile nearest to the strong-motion recording station, are 497 m/s, 613 m/s, 318 m/s, and 318 m/s, respectively. The average VS30 calculated for the seismic profile varies by as much as 188 m/s from VS30 calculated nearest to the strong-motion recording station, which suggests lateral VS variability due to complex geological structures and a change in surface topography. Overall, the difference between minimum and maximum VS30 values across the seismic profiles among different methods range between 94 and 272 m/s, with VS30 values calculated from the S-wave refraction tomography method having the largest range. This quality of the S-wave refraction tomography method is generally consistent across the different sites in this study.

Profile LA17-4—La Cienega (SCSN LCG) S-wave refraction tomography and MASRW-based models for the LA17-4-LCG profile indicate relatively higher VS at depths below approximately 15 meters (m) at distance meters between 0 and 45 (S-wave refraction tomography) and at distance meters between 8 and 25 (MASRW). However, our MASLW-based model shows a channel-like structure, whereas both S-wave refraction tomography and MASRW models show higher VS at depth. Undulating velocity contours seen in all three models may suggest complex geological structures at depth (figs. 20 and 21). The Newport-Inglewood-Rose Canyon Fault Zone has been mapped (fig. 5) less than 200 m northeast of our seismic profile, further suggesting structural complexity at this location. The average VS30 values for the profile (table 3), calculated from S-wave refraction tomography, MASRW, and MASLW methods, are 660 m/s, 374 m/s, and 555 m/s, respectively. VS30, calculated from S-wave refraction tomography, MASRW, and MASLW methods at the point on the seismic profile nearest to the strong-motion recording station are 595 m/s, 425 m/s, and 645 m/s, respectively. The average VS30 calculated for the seismic profile varies by as much as 90 m/s from VS30 calculated nearest to the strong-motion recording station, which suggests lateral VS variability due to complex geological structures at depth. Overall, the difference between minimum and maximum VS30 along the seismic profile ranges between 69 and 256 m/s, with VS30 calculated from the S-wave refraction tomography method having the largest range. In general, Vs determined from the S-wave refraction tomography method is higher than VS determined from surface-wave methods at this location.

32   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California

Profile LA17-5—Rush (SCSN RUS) Our S-wave refraction tomography model shows higher VS in the western part of the seismic profile between distance meters 0 and approximately 50, whereas our surface-wave models show higher VS in both the west and east ends of the profile (figs. 23 and 24). The surface-wave models show VS is generally less than 350 m/s in the upper approximately 20 m of the subsurface between distance meters 25 and 90 (MASRW) and between distance meters 10 and 100 (MASLW), with high VS gradients from approximately 20 m depth to the bottom of the models at 40 m. The average VS30 values for the profile (table 3), calculated from S-wave refraction tomography, MASRW, and MASLW methods, are 448 m/s, 310 m/s, and 308 m/s, respectively. VS30 measurements, calculated from the S-wave refraction tomography, MASRW, and MASLW methods at the point on the seismic profile nearest to the strong-motion recording station, are 468 m/s, 305 m/s, and 351  m/s, respectively. The average VS30 calculated from the seismic profile varies as much as 43 m/s from VS30 calculated nearest to the strong-motion recording station. Overall, the difference between minimum and maximum VS30 along the seismic profile ranges between 20 and 97 m/s, with VS30 calculated from S-wave refraction tomography having the largest range.

Profile LA17-6—Santa Clara (SCSN STC) Our S-wave refraction tomography, MASRW, and MASLW models all show higher VS in the southeastern part of the seismic profile; however, our surface-wave models show channel-like velocity structures between distance meters 40 and 100 (figs. 26 and 27). The average VS30 values for the profile (table 3), calculated from S-wave refraction tomography, MASRW, and MASLW methods, are 443 m/s, 294 m/s, and 320 m/s, respectively. VS30, calculated from S-wave refraction tomography, MASRW, and MASLW methods at the point on the seismic profile nearest to the strong-motion recording station, are 377 m/s, 311 m/s, and 330 m/s, respectively. Overall, the difference between minimum and maximum VS30 along the seismic profile ranges between 29 and 132 m/s, with VS30 calculated from S-wave refraction tomography having the largest and highest ranges relative to those calculated from surface-wave methods.

Method Comparison We find varying magnitudes of differences in VS30 among all methods (refraction tomography, Rayleigh-wave MASRW, and Love-wave MASLW) when the site contains surface topography, shallow bedrock, and (or) complex geologic structures at depth. Our prior studies (Chan and others, 2018a; 2018b) indicate 2-D S-wave refraction tomography is better at resolving complex sites, while both body- and surface wave methods perform similarly at sites without topography and (or) bedrock. Furthermore, we expect varying VS in our

surface wave models due to non-uniqueness of inversion results and the challenges of wave propagation in weathered bedrock (Garofalo and others, 2016a; 2016b; Ladak and others, 2021).

References Cited Baltay, A.S., and Boatwright, J., 2015, Ground-motion observations of the 2014 south Napa earthquake: Seismological Research Letters, v. 86, no. 2A, p. 355–360, https://doi.org/​ 10.1785/​0220140232. Building Seismic Safety Council, 2003, NEHRP recommended provisions for seismic regulations for new buildings and other structures, part I—Provisions: Washington, D.C., Federal Emergency Management Agency, FEMA 450. Castagna, J.P., Batzle, M.L., and Eastwood, R.L., 1985, Relationships between compressional-wave and shear-wave velocities in clastic silicate rocks: Geophysics, v. 50, no. 4, p. 571–581, https://doi.org/​10.1190/​1.1441933. Catchings, R.D., Addo, K.O., Goldman, M.R., Chan, J.H., Sickler, R.R., and Criley, C.J., 2019, Two-dimensional seismic velocities and structural variations at three British Columbia Hydro and Power Authority (BC Hydro) dam sites, Vancouver Island, British Columbia, Canada: U.S. Geological Survey Open-File Report 2019–1015, 137 p., https://doi.org/​10.3133/​ ofr20191015. Catchings, R.D., Borchers, J.W., Goldman, M.R., Gandhok, G., Ponce, D.A., and Steedman, C.E., 2006, Subsurface structure of the East Bay plain ground-water basin—San Francisco Bay to the Hayward Fault, Alameda County, California: U.S. Geological Survey Open-File Report 2006–1084, 61 p., https://doi.org/​10.3133/​ofr20061084. Catchings, R.D., Gandhok, G., Goldman, M.R., Okaya, D., 2001, Seismic images and fault relations of the Santa Monica Thrust Fault, West Los Angeles, California: U.S. Geological Survey Open-File Report 01–111, 34 p., https://doi.org/​10.3133/​ ofr01111. Catchings, R.D., Goldman, M.R., Trench, D., Buga, M., Chan, J.H., Criley, C.J., and Strayer, L.M., 2017, Shallow-depth location and geometry of the Piedmont Reverse splay of the Hayward Fault, Oakland, California: U.S. Geological Survey Open-File Report 2016–1123, 22 p., https://doi.org/​10.3133/​ ofr20161123. Catchings, R.D., Rymer, M.J., Goldman, M.R., Prentice, C.S., and Sickler, R.R., 2013, Fine-scale delineation of the location of and relative ground shaking within the San Andreas Fault zone at San Andreas Lake, San Mateo County, California: U.S. Geological Survey Open-File Report 2013–1041, 53 p., https://doi.org/​10.3133/​ofr20131041.

References Cited  33 Catchings, R.R., Rymer, M.J., Goldman, M.R., Sickler, R.R., and Criley, C.J., 2014, A method and example of seismically imaging near-surface fault zones in geologically complex areas using VP, VS, and their ratios: Bulletin of the Seismological Society of America, v. 104, no. 4, p. 1989–2006, https://doi.org/​10.1785/​0120130294. Chan, J.H., Catchings, R.D., Goldman, M.R., and Criley, C.J., 2018a, VS30 at three strong-motion recording stations in Napa and Napa County, California—Main Street in downtown Napa, Napa fire station number 3, and Kreuzer Lane— Calculations determined from S-wave refraction tomography and multichannel analysis of surface waves (Rayleigh and Love): U.S. Geological Survey Open-File Report 2018–1161, 47 p., https://doi.org/​10.3133/​ofr20181161. Chan, J.H., Catchings, R.D., Goldman, M.R., and Criley, C.J., 2018b, VS30 at three strong-motion recording stations in Napa and Solano Counties, California—Lovall Valley Road, Broadway Street and Sereno Drive in Vallejo, and Vallejo Fire Station—Calculations determined from S-wave refraction tomography and multichannel analysis of surface waves (Rayleigh and Love): U.S. Geological Survey Open-File Report 2018–1162, 62 p., https://doi.org/​10.3133/​ ofr20181162. Chan, J.H., Catchings, R.D., Goldman, M.R, Criley, C.J., and Sickler, R.R., 2021, High-resolution seismic data acquired at six Southern California seismic network (SCSN) recording stations in 2017: U.S. Geological Survey data release, https://doi.org/​10.5066/​P990O55F. Garofalo, F., Foti, S., Hollender, F., Bard, P.Y., Cornou, C., Cox, B.R., Ohrnberger, M., Sicilia, D., Asten, M., Di Giulio, G., Forbriger, T., Guillier, B., Hayashi, K., Martin, A., Matsushima, S., Mercerat, D., Poggi, V., and Yamanaka, H., 2016a, InterPACIFIC project—Comparison of invasive and non-invasive methods for seismic site characterization— Part I—Intra-comparison of surface-wave methods: Soil Dynamics and Earthquake Engineering, v. 82, p. 222–240, https://doi.org/​10.1016/​j​.soildyn.2​015.12.010. Garofalo, F., Foti, S., Hollender, F., Bard, P.Y., Cornou, C., Cox, B.R., Dechamp, A., Ohrnberger, M., Perron, V., Sicilia, D., Teague, D., and Vergniault, C., 2016b, InterPACIFIC project—Comparison of invasive and non-invasive methods for seismic site characterization—Part II—Inter-comparison between surface-wave and borehole methods: Soil Dynamics and Earthquake Engineering, v. 82, p. 241–254, https://doi.org/​10.1016/​j​.soildyn.2​015.12.009. Hayashi, K., and Hikima, K., 2003, CMP analysis of multi-channel surface wave data and its application to near-surface s-wave velocity delineation, in Symposium on the Application of Geophysics to Engineering and Environmental Problems (SAGEEP), 15th, San Antonio, Tex., April 2003: Denver, Colo., SAGEEP, p. 1348–1355.

Hayashi, K., and Suzuki, H., 2004, CMP cross-correlation analysis of multi-channel surface-wave data: Exploration Geophysics, v. 35, no. 1, p. 7–13, https://doi.org/​10.1071/​EG04007. Hole, J.A., 1992, Nonlinear high-resolution three-dimensional seismic travel time tomography: Journal of Geophysical Research, v. 97, no. B5, p. 6553–6562, https://doi.org/​10.1029/​ 92JB00235. Holtzer, T.L., Padovani, A.C., Bennett, M.J., Noce, T.E., Tinsley, J.C., 2005, Mapping NEHRP VS30 site classes: Earthquake Spectra, v. 21, no. 2, p. 1–18, https://doi.org/​10.1193/​1.1895726. Ivanov, J., Leitner, B., Shefchik, W., Shwenk, J.T., and Peterie, S.L., 2013, Evaluating hazards at salt cavern sites using multichannel analysis of surface waves: Leading Edge, v. 32, no. 3, p. 298–305, https://doi.org/​10.1190/​tle32030298.1. Ivanov, J., Miller, R.D., Park, C.P., and Ryden, N., 2003, Seismic search for underground anomalies: Society of Exploration Geophysicists, SEG Technical Program Expanded Abstract 2003, p. 1223–1226. Ivanov, J., Miller, R.D. and Tsoflias, G., 2008, Some practical aspects of MASW analysis and processing: Symposium on the Application of Geophysics to Engineering and Environmental Problems, v. 21, p. 1186–1198. Ladak, S., Molnar, S., and Palmer, S., 2021, Multi-method site characterization to verify the hard rock (site class A) assumption at 25 seismograph stations across Eastern Canada: Earthquake Spectra, v. 37, no. 1, p. 1487–1515. Miller, R.D., Xia, J., Park, C.B., and Ivanov, J., 1999, Using MASW to map bedrock in Olathe, Kansas: Kansas Geological Survey Open-File Report No. 99–9, 9 p. Park, C., 2013, MASW for geotechnical site investigation: Leading Edge, v. 32, no. 6, p. 656–662, https://doi.org/​ 10.1190/​tle32060656.1. Park, C., Miller, R., and Xia, J., 1999, Multichannel analysis of surface waves: Geophysics, v. 64, no. 3, p. 800–808, https://doi.org/​10.1190/​1.1444590. Park, C., Miller, R., Xia, J., and Ivanov, J., 2007, Multichannel analysis of surface waves (MASW)—Active and passive methods: Leading Edge, v. 26, no. 1, p. 60–64, https://doi.org/​10.1190/​1.2431832. Pujol, J., 2003, Elastic wave propagation and generation in seismology: Cambridge University Press, United Kingdom, https://doi.org/​10.1017/​CBO9780511610127. Tatham, R.H., 1982, Vp/Vs and lithology: Geophysics, v. 47, p.  336–344, https://doi.org/​10.1190/​1.1441339. Thomsen, L., 1990, Poisson was not a geophysicist!: Leading Edge, v. 9, no. 12, p. 27–29, https://doi.org/​10.1190/​ 1.1439706.

34   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California U.S. Geological Survey National Geospatial Program, 2009, The National Map-Orthimagery: U.S. Geological Survey, accessed March 1, 2022, at https://a​pps.nation​ almap.gov/​viewer/​. U.S. Geological Survey Earthquake Hazards Program, 2020, Quaternary fault and fold database for the United States: U.S. Geological Survey, accessed March 1, 2021, at h​ttps://www​ .usgs.gov/​natural-​hazards/​. Xia, J., Miller, R.D., and Park, C.B., 1999, Estimation of near-surface shear-wave velocity by inversion of Rayleigh waves: Geophysics, v. 64, no. 3, p. 691–700, https://doi.org/​ 10.1190/​1.1444578. Xia, J., Miller, R., Park, C., and Ivanov, J., 2000, Construction of 2-D vertical shear wave velocity field by the multichannel analysis of surface wave technique, in Symposium on the application of geophysics to engineering and environmental problems 2000: Environment and Engineering Geophysical Society, Symposium on the Application of Geophysics to Engineering and Environmental Problems, p. 1197–1206, https://doi.org/​10.4133/​1.2922726.

Yong, A., Martin, A., Stokoe, K., and Diehl, J., 2013, ARRA-funded VS30 measurements using multi-technique approach at strong-motion stations in California and Central-Eastern United States: U.S. Geological Survey Open-File Report 2013–1102, 60 p., https://doi.org/​10.3133/​ ofr20131102. Zeng, C., Xia, J., Miller, R.D., Tsoflias, G.P., and Wang, Z., 2012, Numerical investigation of MASW applications in the presence of surface topography: Journal of Applied Geophysics, v. 84, p. 52–60, https://doi.org/​10.1016/​j​ .jappgeo.2​012.06.004.

Appendix 1. Rayleigh- and Love-Wave Dispersion Curves Nearest to Strong-Motion Recording Station   35

Appendix 1. Rayleigh- and Love-Wave Dispersion Curves Nearest to Strong-Motion Recording Station A

8

8

Frequency (Hz)

4

12 16 20

28

D 0

4

4

8

8

12 16 20

12 16 20

24

24

28

28

EXPLANATION dispersion picks Amplitude (%) 100

Phase velocity (m/s) 1000 2000 3000

20

28

0

0

16

24

Phase velocity (m/s) 1000 2000 3000

0

Phase velocity (m/s) 1000 2000 3000

12

24

0

Frequency (Hz)

0

4

C

0

B

Frequency (Hz)

Frequency (Hz)

0

0

Phase velocity (m/s) 1000 2000 3000

Figure 1.1. Rayleigh- and Love-wave dispersion curves correlating with points on our LA17-1-OLI and LA17-1b-OLI seismic profiles that are nearest to the SCSN OLI strong-motion station. A, The Rayleigh-wave fundamental mode dispersion curve is between 2 and 17 hertz (Hz). Dispersion curve picks (red circles) correlate with phase velocities between 250 and 2,300 meters per second (m/s). B, Dispersion curve developed from data generated by a 3.5-kilogram sledgehammer and aluminum block source. Love-wave fundamental mode dispersion curve between 2 and 26 Hz. Dispersion curve picks (red circles) are between approximately 250 and 2,300 m/s. C, Dispersion curve developed from data generated by a 45°-angle accelerated weight-drop and aluminum block source. Love-wave fundamental mode dispersion curve between 2 and 24 Hz. Dispersion curve picks (red circles) correlate with phase velocities between 250 and 2,300 m/s. D, A Rayleigh-wave fundamental mode dispersion curve for the LA17-1b-OLI seismic profile is distinct from higher modes between 3 and 12 Hz. Dispersion curve picks (red circles) correlate with phase velocities between approximately 250 and 1,400 m/s.

36   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California

A

B 0

0

4

4

8

8

Frequency (Hz)

Frequency (Hz)

0

Phase velocity (m/s) 500 1000 1500 2000

12 16 20

0

Phase velocity (m/s) 500 1000 1500 2000

12 16 20

24

24

28

28

C

0

0

Phase velocity (m/s) 500 1000 1500 2000

Frequency (Hz)

4 8 12 16 20 24 28 EXPLANATION dispersion picks Amplitude (%) 0

100

Figure 1.2. Rayleigh- and Love-wave dispersion curves corresponding to the location along our LA17-2-SRN seismic profile that is nearest to the SCSN SRN strong-motion station. A, A Rayleigh-wave fundamental mode dispersion curve for frequencies between 4 and 22  hertz (Hz). Dispersion curve picks (red circles) correlate with phase velocities between approximately 250 and 1,000  meters per second (m/s). B, Dispersion curve developed from data generated by a 3.5-kilogram sledgehammer and aluminum block source. Love-wave fundamental mode dispersion curve for frequencies between 2 and 30 Hz. Dispersion curve picks (red circles) correlate with velocities of approximately 250 and 1,200  m/s. C, Dispersion curve developed from data generated by a 45°-angle accelerated weight-drop and aluminum block source. This is a Love-wave fundamental mode dispersion curve for frequencies between 2 and 30  Hz. Dispersion curve picks (red circles) correlate with phase velocities between approximately 250 and 1,100 m/s.

References Cited  37

A

B 0

0

4

4

8

8

12

12

Frequency (Hz)

Frequency (Hz)

0

Phase velocity (m/s) 500 1000 1500 2000

16 20 24

0

Phase velocity (m/s) 500 1000 1500 2000

16 20 24 28

28

32 C

36

0

0

Phase velocity (m/s) 500 1000 1500 2000 EXPLANATION dispersion picks

4

Amplitude (%)

Frequency (Hz)

8 12 16 20 24 28 32 36

0

100

Figure 1.3. Rayleigh- and Love-wave dispersion curves corresponding to the location on our LA17-3-MUR seismic profile that is nearest to the SCSN MUR strong-motion station. A, Rayleigh-wave fundamental mode dispersion curve for frequencies between 4 and 20 hertz (Hz). Dispersion curve picks (red circles) correlate with phase velocities between 250 and 1,500 meters per second (m/s). B, Dispersion curve developed from data generated by a 3.5-kilogram sledgehammer and aluminum block source. Love-wave fundamental mode dispersion curve for frequencies between 4 and 32 Hz. Dispersion curve picks (red circles) correlate with phase velocities between 250 and 1,500 m/s. C, Dispersion curve developed from data generated by a 45°-angle accelerated weight-drop and aluminum block source. Love-wave fundamental mode dispersion curve for frequencies between 4 and 32  Hz. Dispersion curve picks (red circles) correlating with phase velocities between 250 and 1,500 m/s.

38   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California

B

0 4 8 12 16 20 24 28 32 36 40 44 48 52 56

0

Phase velocity (m/s) 500 1000 1500

2000

Frequency (Hz)

Frequency (Hz)

A

0 4 8 12 16 20 24 28 32 36 40 44 48 52 56

0

Phase velocity (m/s) 500 1000 1500

2000

EXPLANATION dispersion picks Amplitude (%) 0

100

Figure 1.4. Rayleigh- and Love-wave dispersion curves corresponding to the location on our LA17-4-LCG seismic profile that is nearest to the SCSN LCG strong-motion station. A, Rayleigh-wave fundamental mode dispersion curve for frequencies between 2 and 56 hertz (Hz). Dispersion curve picks (red circles) correlating with phase velocities between 250 and 1,600 meters per second (m/s). B, Dispersion curve developed from data generated by a 3.5-kilogram sledgehammer and aluminum block source. The Love-wave fundamental mode dispersion curve for frequencies between 2 and 56 Hz. Dispersion curve picks (red circles) correlating with phase velocities between 250 and 1,600 m/s.

References Cited  39

B

0 4 8 12 16 20 24 28 32 36 40 44 48

0

Phase velocity (m/s) 200 400 600 800 1000

Frequency (Hz)

Frequency (Hz)

A

0 4 8 12 16 20 24 28 32 36 40 44 48

0

Phase velocity (m/s) 200 400 600 800 1000

EXPLANATION dispersion picks Amplitude (%) 0

100

Figure 1.5. Rayleigh- and Love-wave dispersion curves corresponding to the location along our profile LA17-5-RUS seismic profile that is nearest to the SCSN RUS strong-motion station. A, Rayleigh-wave fundamental mode dispersion curve for frequencies between 2 and 32 hertz (Hz). Dispersion curve picks (red circles) correlating with phase velocities between 200 and 800 meters per second (m/s). B, Dispersion curve picks developed from data generated by a 3.5-kilogram sledgehammer and aluminum block source. Love-wave fundamental mode dispersion curve for frequencies between 2 and 24 Hz. Dispersion curve picks (red circles) correlate with phase velocities between 150 and 800 m/s.

40   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California

A

B

0

0

Phase velocity (m/s) 200 400 600 800 1000

0 10 Frequency (Hz)

10 Frequency (Hz)

0

Phase velocity (m/s) 200 400 600 800 1000

20 30 40

20 30 40

50

50

60

60

EXPLANATION dispersion picks Amplitude (%) 0

100

Figure 1.6. Rayleigh- and Love-wave dispersion curves corresponding to the location on our LA17-6-STC seismic profile that is nearest to the SCSN STC strong-motion station. A, Rayleigh-wave fundamental mode dispersion curve for frequencies between 4 and 60 hertz (Hz). Dispersion curve picks (red circles) correlate with phase velocities between 200 and 500 meters per second (m/s). B, Dispersion curve developed from data generated by a 3.5-kilogram sledgehammer and aluminum block source. Love-wave fundamental mode dispersion curve for frequencies between 3 and 55 Hz. Dispersion curve picks (red circles) correlate with phase velocities between 200 and 600 m/s.

Appendix 2. Rayleigh- and Love-Wave Fundamental mode Dispersion Curve Picks   41

Appendix 2. Rayleigh- and Love-Wave Fundamental mode Dispersion Curve Picks A

B 3000 Phase Velocity (m/s)

Phase Velocity (m/s)

3000 2500 2000 1500 1000 500 0

0

5

10 15 20 Frequency (Hz)

1500 1000 500 0

5

10 15 20 Frequency (Hz)

25

0

5

10 15 20 Frequency (Hz)

25

D 3000

3000 Phase Velocity (m/s)

Phase Velocity (m/s)

2000

0

25

C

2500

2500 2000 1500 1000 500 0

0

5

10 15 20 Frequency (Hz)

25

2500 2000 1500 1000 500 0

EXPLANATION dispersion picks Figure 2.1. Rayleigh- and Love-wave fundamental mode dispersion curve picks for our LA17-1-OLI and LA17-1b-OLI seismic profiles. A, Rayleigh-wave fundamental mode dispersion curve picks correlate with frequencies between 3 and 20 hertz (Hz) and with phase velocities between 200 and 2,500 meters per second (m/s). B, Dispersion curves developed from data generated by a 3.5-kilogram sledgehammer and aluminum block source. Love-wave fundamental mode dispersion curve picks for frequencies between 2 and 25 Hz and phase velocities between 200 and 2,500 m/s. C, Dispersion curves developed from data generated by a 45°-angle accelerated weight-drop and aluminum block source. Love-wave fundamental mode dispersion curve picks for frequencies between 2 and 25 Hz and phase velocities between 200 and 2,000 m/s. D, Rayleigh-wave fundamental mode dispersion curve picks from data along the LA17-1b-OLI profile for frequencies 3 and 21 Hz and phase velocities between 200 and 1,500 m/s.

42   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California

A

B 3000 Phase Velocity (m/s)

Phase Velocity (m/s)

3000 2500 2000 1500 1000 500 0

0

10

20 30 Frequency (Hz)

40

0

10

20 30 Frequency (Hz)

40

L

2500 2000 1500 1000 500 0

0

10

20 30 Frequency (Hz)

40

C

Phase Velocity (m/s)

3000 2500 2000 1500 1000 500 0

EXPLANATION dispersion picks Figure 2.2. Rayleigh- and Love-wave fundamental mode dispersion curve picks for our LA17-2-SRN seismic profile. A, Rayleigh-wave fundamental mode dispersion curve picks correlate with frequencies between 2 and 40 hertz (Hz) and with phase velocities between 250 and 2,500 meters per second (m/s). B, Dispersion curves developed from data generated by a 3.5-kilogram sledgehammer and aluminum block source. Love-wave fundamental mode dispersion curve picks for frequencies between 1 and 40 Hz and phase velocities between 250 and 2,500 m/s. C, Dispersion curves developed from data generated by a 45°-angle accelerated weight-drop and aluminum block source. Love-wave fundamental mode dispersion curve picks for frequencies between 2 and 40 Hz and phase velocities between 250 and 1,600 m/s.

Appendix 2. Rayleigh- and Love-Wave Fundamental mode Dispersion Curve Picks   43

A

B 3000 Phase Velocity (m/s)

Phase Velocity (m/s)

3000 2500 2000 1500 1000 500 0

0

10

20 30 Frequency (Hz)

40

0

10

20 30 Frequency (Hz)

40

2500 2000 1500 1000 500 0

0

10

20 30 Frequency (Hz)

40

C

Phase Velocity (m/s)

3000 2500 2000 1500 1000 500 0

EXPLANATION dispersion picks Figure 2.3. Rayleigh- and Love-wave fundamental mode dispersion curve picks for our LA17-3-MUR seismic profile. A, Rayleigh-wave fundamental mode dispersion curve picks correlate with frequencies between 4 and 45 hertz (Hz) and with phase velocities between 100 and 2,600 meters per second (m/s). B, Dispersion curves developed from data generated by a 3.5-kilogram sledgehammer and aluminum block source. Love-wave fundamental mode dispersion curve picks for frequencies between 3 and 33 Hz and phase velocities between 200 and 1,500 m/s. C, Dispersion curves developed from data generated by a 45°-angle accelerated weight-drop and aluminum block source. Love-wave fundamental mode dispersion curve picks for frequencies between 3 and 30 Hz and phase velocities between 200 and 2,500 m/s.

44   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California

A

Phase Velocity (m/s)

3000 2500 2000 1500 1000 500 0

0

10

20

30 40 50 Frequency (Hz)

60

70

0

10

20

30 40 50 Frequency (Hz)

60

70

B

Phase Velocity (m/s)

3000 2500 2000 1500 1000 500 0

EXPLANATION dispersion picks Figure 2.4. Rayleigh- and Love-wave fundamental mode dispersion curve picks for our LA17-4-LCG seismic profile. A, Rayleigh-wave fundamental mode dispersion curve picks correlate with frequencies between 2 and 56 hertz (Hz) and with phase velocities between 300 and 1,500 meters per second (m/s). B, Dispersion curves developed from data generated by a 3.5-kilogram sledgehammer and aluminum block source. Love-wave fundamental mode dispersion curve picks for frequencies between 2 and 70 Hz and phase velocities between 150 and 1,600 m/s.

Appendix 2. Rayleigh- and Love-Wave Fundamental mode Dispersion Curve Picks   45

A

Phase Velocity (m/s)

3000 2500 2000 1500 1000 500 0

0

10

20

30 40 50 Frequency (Hz)

60

70

0

10

20

30 40 50 Frequency (Hz)

60

70

B

Phase Velocity (m/s)

3000 2500 2000 1500 1000 500 0

EXPLANATION dispersion picks Figure 2.5. Rayleigh- and Love-wave fundamental mode dispersion curve picks for our LA17-5-RUS seismic profile. A, Rayleigh-wave fundamental mode dispersion curve picks correlate with frequencies between 2 and 60 hertz (Hz) and with phase velocities between 200 and 1,300 meters per second (m/s). B, Dispersion curves developed from data generated by a 3.5-kilogram sledgehammer and aluminum block source. Love-wave fundamental mode dispersion curve picks for frequencies between 2 and 40 Hz and phase velocities between 150 and 1,200 m/s.

46   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California

A

Phase Velocity (m/s)

3000 2500 2000 1500 1000 500 0

0

10

20

30 40 50 Frequency (Hz)

60

70

80

0

10

20

30 40 50 Frequency (Hz)

60

70

80

B

Phase Velocity (m/s)

3000 2500 2000 1500 1000 500 0

EXPLANATION dispersion picks Figure 2.6. Rayleigh- and Love-wave fundamental mode dispersion curve picks for our LA17-6-STC seismic profile. A, Rayleigh-wave fundamental mode dispersion curve picks correlate with frequencies between 2 and 70 hertz (Hz) and with phase velocities between 150 and 1,400 meters per second (m/s). B, Dispersion curves developed from data generated by a 3.5-kilogram sledgehammer and aluminum block source. Love-wave fundamental mode dispersion curve picks for frequencies between 2 and 80 Hz and phase velocities between 150 and 1,300 m/s.

Appendix 3. Rayleigh- and Love-Wave 1-D Velocity Depth Profiles   47

Appendix 3. Rayleigh- and Love-Wave 1-D Velocity Depth Profiles B 0

0

10

10

20

20

Depth (m)

Depth (m)

A

30 40 50 60

40 50

0

60

500 1000 1500 2000 S-wave velocity (m/s)

C

0

500 1000 1500 2000 S-wave velocity (m/s)

0

500 1000 1500 2000 S-wave velocity (m/s)

D 0

0

10

10

20

20

Depth (m)

Depth (m)

30

30 40

30 40

50

50

60

60

0

500 1000 1500 2000 S-wave velocity (m/s)

Figure 3.1. Rayleigh- and Love-wave 1-D depth-velocity profiles correlating with the location along our LA17-1-OLI and LA17-1b-OLI seismic profiles that is nearest to the SCSN OLI strong-motion station. A, Rayleigh-wave 1-D depth-velocity profile showing relatively high gradients below about 30 meters (m) depth. B, Seismic data generated by a 3.5-kilogram sledgehammer and aluminum block source. The Love-wave one-dimensional (1-D) depth-velocity profile shows weak positive gradient in shear-wave velocity (VS) below approximately 10 m depth. C, Dispersion curve developed from data generated by a 45°-angle accelerated weight-drop and aluminum block source. The Love-wave 1-D depth-velocity profile shows weak positive gradient in VS below 10 m depth. D, Rayleigh-wave 1-D depth-velocity profile for the LA17-1b-OLI seismic profile showing a weak positive gradient in VS below approximately 8 m depth. Light grey areas at the near surface represent regions with few data points. (m/s, meters per second.)

48   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California

B 0

0

10

10

20

20

Depth (m)

Depth (m)

A

30 40 50 60

30 40 50

0

500 1000 1500 2000 S-wave velocity (m/s)

0

500 1000 1500 2000 S-wave velocity (m/s)

60

0

500 1000 1500 2000 S-wave velocity (m/s)

C 0

Depth (m)

10 20 30 40 50 60

Figure 3.2. Rayleigh- and Love-wave one-dimensional (1-D) depth-velocity profiles correlating with the location along our LA17-2-SRN seismic profile that is nearest to the SCSN SRN strong-motion station. A, Rayleigh-wave 1-D depth-velocity profile shows positive gradient in shear-wave velocity (VS) below approximately 2 meters (m) depth. B, Seismic data generated by a 3.5-kilogram sledgehammer and aluminum block source. The Love-wave 1-D depth-velocity profile shows weak positive gradient in VS between approximately 2 and approximately 20 m depth, then weak negative gradient in VS between approximately 20 and approximately 40 m depth. C, Seismic data generated by a 45°-angle accelerated weight-drop and aluminum block source. The Love-wave 1-D depth-velocity profile shows weak positive gradient in VS below approximately 2 m depth. Light grey areas at the near surface represent regions with few data points. (m/s, meters per second.)

Appendix 3. Rayleigh- and Love-Wave 1-D Velocity Depth Profiles   49

B 0

0

10

10

20

20

Depth (m)

Depth (m)

A

30 40 50 60

30 40 50

0

500 1000 1500 2000 S-wave velocity (m/s)

0

500 1000 1500 2000 S-wave velocity (m/s)

60

0

500 1000 1500 2000 S-wave velocity (m/s)

C 0

Depth (m)

10 20 30 40 50 60

Figure 3.3. Rayleigh- and Love-wave one-dimensional (1-D) depth-velocity profiles correlating with the location along our LA17-3-MUR seismic profile that is nearest to the SCSN MUR strong-motion station. A, Rayleigh-wave 1-D depth-velocity profile showing positive gradient in shear-wave velocity (VS) between approximately 8 and approximately 18 meters m depth and below approximately 36 m depth. B, Seismic data generated by a 3.5-kilogram sledgehammer and aluminum block source. The Love-wave 1-D depth-velocity profile shows weak positive gradient in VS at all depths. C, Seismic data generated by a 45°-angle accelerated weight-drop and aluminum block source. The Love-wave 1-D depth-velocity profile shows weak positive gradient in VS at all depths. Light grey areas at the near surface represent regions with few data points. (m/s, meters per second)

50   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California

B 0

0

10

10

20

20

Depth (m)

Depth (m)

A

30 40

30 40

50

50

60

60

0

500 1000 1500 2000 S-wave velocity (m/s)

0

500 1000 1500 2000 S-wave velocity (m/s)

Figure 3.4. Rayleigh- and Love-wave one-dimensional (1-D) depth-velocity profile correlating with the location along our LA17-4-LCG seismic profile that is nearest to the SCSN LCG strong-motion station. A, Rayleigh-wave 1-D depth-velocity profile showing weak positive gradient in shear-wave velocity (VS) below approximately 12 meters (m) depth. B, Seismic data generated by a 3.5-kilogram sledgehammer and aluminum block source. The Love-wave 1-D depth-velocity profile shows positive gradient in VS between approximately 2 m and approximately 40 m depth. Light grey areas represent regions with few data points. (m/s, meters per second.)

B 0

0

10

10

20

20

Depth (m)

Depth (m)

A

30 40

30 40

50

50

60

60

0

500 1000 1500 2000 S-wave velocity (m/s)

0

500 1000 1500 2000 S-wave velocity (m/s)

Figure 3.5. Rayleigh- and Love-wave one-dimensional (1-D) depth-velocity profiles correlating with the location along our LA17-5-RUS seismic profile that is nearest to the SCSN RUS strong-motion station. A, Rayleigh-wave 1-D depth-velocity profile showing weak positive gradient in shear-wave velocity (VS) at all depths. B, Seismic data generated by a 3.5-kilogram sledgehammer and aluminum block source. The Love-wave 1-D depth-velocity profile shows weak positive gradient in VS below approximately 2 m depth. Light grey areas represent regions with few data points. (m/s, meters per second.)

Appendix 3. Rayleigh- and Love-Wave 1-D Velocity Depth Profiles   51

B 0

0

10

10

20

20

Depth (m)

Depth (m)

A

30 40 50 60

30 40 50

0

500 1000 1500 2000 S-wave velocity (m/s)

60

0

500 1000 1500 2000 S-wave velocity (m/s)

Figure 3.6. Rayleigh- and Love-wave one-dimensional (1-D) depth-velocity profiles correlating with the location along our LA17-6-STC seismic profile that is nearest to the SCSN STC strong-motion station. A, Rayleigh-wave 1-D depth-velocity profile shows weak positive gradient in shear-wave velocity (VS) below approximately 8 meters (m) depth. B, Seismic data generated by a 3.5-kilogram sledgehammer and aluminum block source. The Love-wave 1-D depth-velocity profile shows weak positive gradient in VS between approximately 2 m and approximately 40 m depth. Light grey areas represent regions with few data points. (m/s, meters per second)

52   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California

Appendix 4. VP/VS Ratios Determined from P-wave and S-wave Refraction Tomography W 2 1.8

1.8

10

1.6

20 30 40

2.8 2.6

2.4

1 .6

Depth (m)

0

E

.6

1.4

LA17−1.v1.1001

0 10 20 VE = 1

30

40 50

60

1.2

70 80 90 100 110 120 130 140 150 160 Distance (m) EXPLANATION Ratio (VP/VS) 1.00

1.50

2.00

Figure 4.1. Two-dimensional tomography image of P- to S-wave velocity (VP/VS) ratios along the LA17-1-OLI seismic profile. VP/VS ratios range from about 1.2 to about 2.6 along the seismic profile. (W, west; E, east; m, meters)

SW

NE

Depth (m)

0 10 1.6

20 30 40

1. 8

2

.6

1 LA17−2.v1.1001

1.8

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 Distance (m) VE = 1 EXPLANATION Ratio (VP/VS) 1.00

1.50

2.00

Figure 4.2. Two-dimensional tomography image of P- to S-wave velocity (VP/VS) ratios along LA17-2-SRN seismic profile. VP/VS ratios range from about 1.2 to about 2 along the seismic profile; the highest (approximately 2) VP/VS ratio coincides with the mapped location of Peralta Hills Fault. (SW, southwest; NE, northeast; m, meters.)

Appendix 4. VP/VS Ratios Determined from P-wave and S-wave Refraction Tomography   53

NE

SW 1.4

1.4

6

1.

1.8

1.6 1.4

10

1.8

1.8

20 1.

6

30

LA17−3.v1.1001

0

10

20

1.6 2

Depth (m)

0

30

40

50

VE = 1

60

70

2

80

90

Distance (m)

100

110

120

EXPLANATION Ratio (VP/VS) 1.00

1.50

2.00

Figure 4.3. Two-dimensional tomography image of P- to S-wave velocity (VP/VS) ratios along LA17-3-MUR seismic profile. VP/VS ratios range from about 1 to about 2 along the seismic profile. (SW, southwest; NE, northeast; m, meters)

SE

NW 1.4

Depth (m)

0

1.6

1. 8

10 20

2

2. 2

2.4

2.2

20

2.2

LA17−4.v1.1001

0 10 VE = 1

2

1.6

2.2

30

40

50

60 70 Distance (m)

80

90

100

110

120

EXPLANATION Ratio (VP/VS) 1.50

2.00

2.50

Figure 4.4. Two-dimensional tomography image of P- to S-wave velocity (VP/VS) ratios along LA17-4-LCG seismic profile. VP/VS ratios range from about 1.4 to about 2.6 along the seismic profile. (SE, southeast; NW, northwest; m, meters.)

54   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California

W

E

Depth (m)

0

1

2

10

3

20

LA17−5.v1.1001 2

0 10 VE = 1

20

30

40

50

60 70 Distance (m)

80

90

100

110

120

EXPLANATION Ratio (VP/VS) 1. 0

2. 0

3. 0

Figure 4.5. Two-dimensional tomography image of P- to S-wave velocity (VP/VS) ratios along LA17-5-RUS seismic profile. VP/VS ratios range from about 1 to about 3.5 along the seismic profile. (W, west; E, east; m, meters.)

SE

NW 1.1

Depth (m)

0

1.2

1

10

1. 3 1.4 1.5 1.6

20 LA17−6.v1.1001 1.2

0

10

VE = 1

20

1.7

30

40

50

60

70

Distance (m)

80

90

100

110

120

EXPLANATION Ratio (VP/VS) 1.0

1.5

2.0

Figure 4.6. Two-dimensional tomography image of P- to S-wave velocity (VP/VS) ratio along LA17-6-STC seismic profile. VP/VS ratios range from about 1 to about 1.6 along the seismic profile. (SE, southeast; NW, northwest; m, meters.)

Appendix 5. Poisson’s Ratios Determined from P-wave and S-wave Refraction Tomography   55

Appendix 5. Poisson’s Ratios Determined from P-wave and S-wave Refraction Tomography W

E 0.4

10

0.3 0.3

0. 2

20 0.2

Depth (m)

0

30 40

0.1

LA17−1.v1.1002 0.1

0 10 VE = 1

20

30

40

50

60

70 80 90 100 110 120 130 140 150 160 Distance (m) EXPLANATION Poisson’s Ratio 0. 0

0. 2

0. 4

Figure 5.1. Two-dimensional tomography image of Poisson’s ratios along the LA17-1-OLI seismic profile, derived from P- and S-wave tomography. Poisson’s ratios are highest (approximately 0.4) at the upper approximately 2 meters (m) of the subsurface. (SE, southeast; NW, northwest)

SW

NE

Depth (m)

0 10 5

20 30 40

0.1 0.05

0

0.1

LA17−2.v1.1002

3

0.

.25 0.3

5

0.25

0.3

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 Distance (m) VE = 1 EXPLANATION Poisson’s Ratio 0. 0

0. 2

0. 4

Figure 5.2. Two-dimensional tomography image of Poisson’s ratios along the LA17-2-SRN seismic profile, derived from Pand S-wave tomography. Highest Poisson’s ratios (approximately 0.3) coincide with the mapped location of Peralta Hills Fault, between approximately 110 and 155 meters (m) distance. (SW, southwest; NE, northeast.)

56   Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California

NE

SW

0.1

Depth (m)

0

0. 2

0. 1

0.3

10 20 30

1

LA17−3.v1.1002 0

0.2

.

0 10 VE = 1

20

0. 3

30

40

50

60 70 Distance (m)

80

90

100

110

120

EXPLANATION Poisson’s Ratio 0. 0

0. 2

0. 4

Figure 5.3. Two-dimensional tomography image of Poisson’s ratios along the LA17-3-MUR seismic profile, derived from P- and S-wave tomography. Poisson’s ratios are highest (approximately 3) at discrete locations across the profile. (SW, southwest; NE, northeast; m, meters)

SE

NW

Depth (m)

0 0.35

10

0.25

5 0.1

5

0.1

0.05

0.35

20 LA17−4.v1.1002

0 10 VE = 1

20

30

40

50 60 70 Distance (m)

80

90

100

110

120

EXPLANATION Poisson’s Ratio 0.10

0.25

0.40

Figure 5.4. Two-dimensional tomography image of Poisson’s along the LA17-4-LCG seismic profile, derived from P- and S-wave tomography. Poisson’s ratios are highest (approximately 0.35) at depths below approximately 5 meters (m). (SE, southeast; NW, northwest)

Appendix 5. Poisson’s Ratios Determined from P-wave and S-wave Refraction Tomography   57

W

E

Depth (m)

0 0.05 0.15

0.05

10

0.25

0.15

0.35 0.45

20

0.2

5

0.3

LA17−5.v1.1002

0

10

20

0.4 0.35

30

0.4

40

0.25

50

60

70

80

Distance (m)

VE = 1

90

0.2

100

110

120

EXPLANATION Poisson’s Ratio 0.05

0.25

0.45

Figure 5.5. Two-dimensional tomography image of Poisson’s ratios along the LA17-5-RUS seismic profile, derived from P- and S-wave tomography. Poisson’s ratios are highest (approximately 0.4) at depths below approximately 15 meters (m). (W, west; E, east.)

SE

NW

Depth (m)

0 10 0.05

20

5 0.1 0.1 0.2

LA17−6.v1.1002

0

10

VE = 1

20

30

40

50

60

70

Distance (m)

80

90

100

110

120

EXPLANATION Poisson’s Ratio 0.001

0.100

0.200

Figure 5.6. Two-dimensional tomography image of Poisson’s ratios along the LA17-6-STC seismic profile, derived from P- and S-wave tomography. Poisson’s ratios are highest (0.2) at depths below approximately 20 meters (m) in the northwest end of the seismic profile. (SE, southeast; NW, northwest)

Publishing support provided by the Moffett Field Publishing Service Center Manuscript approved for publication February 22, 2024 Layout by Cory Hurd

Chan and others—Evaluation of 2-D Shear-Wave Velocity Models and VS30 at Six Strong-Motion Recording Stations in Southern California—OFR 2024–1016

ISSN 2331-1258 (online) https://doi.org/​10.3133/​ofr20241016

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