Full-Wavefield Surface Wave Method: Integrating Rigorous and Efficient Methods for Enhanced Subsurface Exploration
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 150, Issue 4
Abstract
Spectral analysis of surface waves (SASW) and multichannel analysis of surface waves (MASW) are the two main active surface wave methods, and their common inversion schemes are effective mode (EM) inversion and fundamental mode (FM) inversion, respectively. The former has a more rigorous inversion scheme, which considers receiver locations and dynamic response, while the latter has a more convenient dispersion analysis and fast inversion process. This paper introduces an improved dynamic response solution for elastic layered media subjected to vertical load. It is fast, accurate, and unconditionally stable, facilitating the full-wavefield inversion in terms of the frequency–velocity spectrum (FVS). The MASW FVS inversion merges the convenience and robustness of MASW dispersion analysis with the rigorous inversion scheme adopted by SASW. It is based on the actual dynamic response at receiver locations and takes into account possible higher modes and nonRayleigh waves. In this study, various types of synthetic velocity profiles are used to compare the inversion results among three different inverted schemes (SASW EM, MASW FM, and MASW FVS inversion). The results indicate that, when phase-unwrapping in SASW is not problematic, SASW EM inversion and MASW FVS inversion are theoretically sounder and produce better inverted results than the MASW FM inversion, while the process of MASW FVS inversion is more convenient and robust. Finally, a field example is used to further demonstrate the advantages of FVS inversion and its applicability.
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Data Availability Statement
Some or all data or models that support the findings of this study are available from the corresponding author upon reasonable request. While the software program involved in this study is still under development and may also have some proprietary issues, anyone interested in this program is welcome to contact the corresponding author for a demo code when it becomes available.
Acknowledgments
The research is funded by National Science and Technology Council, Taiwan, R. O. C. under Project no. 110-2625-M-A49.
References
Everett, M. 2013. Near-surface applied geophysics, 308–309. Cambridge, UK: Cambridge University Press.
Forbriger, T. 2003. “Inversion of shallow-seismic wavefields: I. Wavefield transformation.” Geophys. J. Int. 153 (3): 719–734. https://doi.org/10.1046/j.1365-246X.2003.01929.x.
Gabriels, P., R. Snieder, and G. Nolet. 1987. “In situ measurements of shear-wave velocity in sediments with higher mode Rayleigh waves.” Geophys. Prospect. 35 (2): 187–196. https://doi.org/10.1111/j.1365-2478.1987.tb00812.x.
Ganji, V., N. Gucunski, and S. Nazarian. 1998. “Automated inversion procedure for spectral analysis of surface waves.” J. Geotech. Geoenviron. Eng. 124 (8): 757–770. https://doi.org/10.1061/(ASCE)1090-0241(1998)124:8(757).
Gao, L., J. Xia, and Y. Pan. 2014. “Misidentification caused by leaky surface wave in high-frequency surface wave method.” Geophys. J. Int. 199 (3): 1452–1462. https://doi.org/10.1093/gji/ggu337.
Gucunski, N., and R. D. Woods. 1992. “Numerical simulation of SASW test.” Soil Dyn. Earthquake Eng. 11 (4): 213–227. https://doi.org/10.1016/0267-7261(92)90036-D.
Haskell, N. A. 1953. “The dispersion of surface waves on multilayered media.” Bull. Seismol. Soc. Am. 43 (1): 17–34. https://doi.org/10.1785/BSSA0430010017.
Ji, Y., H. Seo, S. Kang, H. S. Kim, J. Kim, and B. Kim. 2022. “MASW-based shear wave velocities for predicting liquefaction-induced sand boils caused by the 2017 Pohang, South Korea earthquake.” J. Geotech. Geoenviron. Eng. 148 (4): 04022004. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002738.
Joh, S. H. 1996. “Advances in the data interpretation technique for spectral-analysis-of-surface-waves (SASW) measurements.” Ph.D. thesis, Dept. of Civil, Architectural, and Environmental Engineering, Univ. of Texas at Austin.
Jones, R. 1958. “In-situ measurement of the dynamic properties of soil by vibration methods.” Géotechnique 8 (1): 1–21. https://doi.org/10.1680/geot.1958.8.1.1.
Kansas Geological Survey. 2010. SurfSeis 3.05–MASW processing program. Lawrence, KS: Kansas Geological Survey.
Kausel, E., and R. Peek. 1982. “Dynamic loads in the interior of a layered stratum: An explicit solution.” Bull. Seismol. Soc. Am. 72 (5): 1459–1481. https://doi.org/10.1785/BSSA0720051459.
Kausel, E., and J. M. Roësset. 1981. “Stiffness matrices for layered soils.” Bull. Seismol. Soc. Am. 71 (6): 1743–1761. https://doi.org/10.1785/BSSA0710061743.
Kennett, B. L. N. 1974. “Reflections, rays, and reverberations.” Bull. Seismol. Soc. Am. 64 (6): 1685–1696. https://doi.org/10.1785/BSSA0640061685.
Lagarias, J. C., J. A. Reeds, M. H. Wright, and P. E. Wright. 1998. “Convergence properties of the Nelder-Mead simplex method in low dimensions.” SIAM J. Optim. 9 (1): 112–147. https://doi.org/10.1137/S1052623496303470.
L’Heureux, J. S., and M. Long. 2017. “Relationship between shear-wave velocity and geotechnical parameters for Norwegian clays.” J. Geotech. Geoenviron. Eng. 143 (6): 04017013. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001645.
Lin, C. P., and T. S. Chang. 2004. “Multi-station analysis of surface wave dispersion.” Soil Dyn. Earthquake Eng. 24 (11): 877–886. https://doi.org/10.1016/j.soildyn.2003.11.011.
Lin, C. P., C. H. Lin, and C. J. Chien. 2017. “Dispersion analysis of surface wave testing—SASW vs. MASW.” J. Appl. Geophy. 143 (Aug): 223–230. https://doi.org/10.1016/j.jappgeo.2017.05.008.
Lin, C. P., C. H. Lin, Y. Z. Dai, and C. J. Chien. 2012. “Assessment of ground improvement with improved columns by surface wave testing.” In Grouting and deep mixing, 483–492. Reston, VA: ASCE.
Lin, C. P., E. Pan, Q. K. Tran, and T. J. Wu. 2023. “A unified approach for relationships among Green’s function, normal modes and dispersion spectrum in layered elastic half-space, with corrected misconceptions on surface wave dispersion and testing.” Geophys. J. Int. 232 (2): 1357–1375. https://doi.org/10.1093/gji/ggac396.
Lin, C. P., T. J. Wu, and E. Pan. 2022. “An efficient full-wavefield computational approach for seismic testing in a layered half-space.” Soil Dyn. Earthquake Eng. 161 (Oct): 107423. https://doi.org/10.1016/j.soildyn.2022.107423.
Lin, S., N. Gucunski, S. Shams, and Y. Wang. 2021. “Seismic site classification from surface wave data to without inversion.” J. Geotech. Geoenviron. Eng. 147 (6): 04021029. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002526.
Long, M., A. Traffordb, T. McGrathc, and P. O’Connord. 2020. “Multichannel analysis of surface waves (MASW) for offshore geotechnical investigations.” Eng. Geol. 272 (Jul): 105649. https://doi.org/10.1016/j.enggeo.2020.105649.
Love, A. E. H. 1911. Some problems of geodynamics. Cambridge, UK: Cambridge University Press.
McMechan, G. A., and M. J. Yedlin. 1981. “Analysis of dispersive waves by wave field transformation.” Geophysics 46 (6): 869–874. https://doi.org/10.1190/1.1441225.
Nazarian, S., and K. H. Stokoe II. 1984. “In situ shear wave velocities from spectral analysis of surface waves.” In Vol. 8 of Proc., World Conf. on Earthquake Engineering, 21–28. Englewood Cliffs, NJ: Prentice Hall.
O’Neill, A., and T. Matsuoka. 2005. “Dominant higher surface-wave modes and possible inversion pitfalls.” J. Geotech. Geoenviron. Eng. 10 (2): 185–201. https://doi.org/10.2113/JEEG10.2.185.
Pan, E. 2019. “Green’s functions for geophysics: A review.” Rep. Prog. Phys. 82 (Apr): 106801. https://doi.org/10.1088/1361-6633/ab1877.
Pan, E., C. P. Lin, and J. Zhou. 2021. “Fundamental solution of general time-harmonic loading over a transversely isotropic, elastic and layered half-space: An efficient and accurate approach.” Eng. Anal. Boundary Elem. 132 (Mar): 309–320. https://doi.org/10.1016/j.enganabound.2021.08.006.
Pan, Y., L. Gao, and T. Bohlen. 2019. “High-resolution characterization of near-surface structures by surface-wave inversion: From dispersion curve to full waveform.” Surv. Geophys. 40 (Mar): 160–195. https://doi.org/10.1007/s10712-019-09508-0.
Parhi, P. S., U. Balunaini, S. M. Sravanam, and V. K. Mauriya. 2020. “Site characterization of existing and abandoned coal ash ponds using shear-wave velocity from multichannel analysis of surface waves.” J. Geotech. Geoenviron. Eng. 146 (11): 04020115. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002366.
Park, C. B., R. D. Miller, and J. Xia. 1998. “Imaging dispersion curves of surface waves on multichannel record.” In Proc., 68th Annual Int. Meeting, 1377–1380. New Orleans, LA: Society of Exploration Geophysicists.
Park, C. B., R. D. Miller, and J. Xia. 1999. “Multichannel analysis of surface waves.” Geophysics 64 (3): 800–808. https://doi.org/10.1190/1.1444590.
Pelekis, P. C., and G. A. Athanasopoulos. 2011. “An overview of surface wave methods and a reliability study of a simplified inversion technique.” Soil Dyn. Earthquake Eng. 31 (Apr): 1654–1668. https://doi.org/10.1016/j.soildyn.2011.06.012.
Rosenblad, B. L., and J. D. Bertel. 2008. “Potential phase unwrapping errors associated with SASW measurements at soft-over-stiff sites.” Geotech. Test. J. 31 (5): 433–441. https://doi.org/10.1520/GTJ101411.
Ryden, N., and C. B. Park. 2006. “Fast simulated annealing inversion of surface waves on pavement using phase velocity spectra.” Geophysics 71 (4): R49–R58. https://doi.org/10.1190/1.2204964.
Ryden, N., C. B. Park, P. Ulriksen, and R. D. Miller. 2004. “Multimodal approach to seismic pavement testing.” J. Geotech. Geoenviron. Eng. 130 (6): 636–645. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:6(636).
Socco, L. V., and C. Strobbia. 2004. “Surface-wave method for building near-surface characterization: A tutorial.” Near Surf. Geophys. 2 (4): 165–185. https://doi.org/10.3997/1873-0604.2004015.
Stokoe K. H., II, S. G. Wright, J. Bay, and J. M. Roesset. 1994. “Characterization of geotechnical sites by SASW method.” In Geophysical characterization of sites, ISSMFE technical committee #10, edited by R. D. Woods, 15–25. New Delhi, India: Oxford Publishers.
Thomson, W. T. 1950. “Transmission of elastic waves through a stratified solid medium.” J. Appl. Phys. 21 (2): 89–93. https://doi.org/10.1063/1.1699629.
Xia, J., R. D. Miller, and C. B. Park. 1999. “Estimation of near surface shear wave velocity by inversion of Rayleigh waves.” Geophysics 64 (3): 691–700. https://doi.org/10.1190/1.1444578.
Zywicki, D. J., and G. J. Rix. 2005. “Mitigation of near-field effects for seismic surface wave velocity estimation with cylindrical beam formers.” J. Geotech. Geoenviron. Eng. 131 (8): 970–977. https://doi.org/10.1061/(ASCE)1090-0241(2005)131:8(970).
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Information
Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 150 • Issue 4 • April 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Jun 18, 2023
Accepted: Nov 27, 2023
Published online: Feb 15, 2024
Published in print: Apr 1, 2024
Discussion open until: Jul 15, 2024
ASCE Technical Topics:
- Analysis (by type)
- Continuum mechanics
- Dynamic analysis
- Dynamic loads
- Dynamic response
- Dynamics (solid mechanics)
- Elastic analysis
- Engineering fundamentals
- Engineering mechanics
- Frequency analysis
- Geology
- Geotechnical engineering
- Solid mechanics
- Static loads
- Statics (mechanics)
- Structural analysis
- Structural dynamics
- Structural engineering
- Subsurface environment
- Surface waves
- Vertical loads
- Wave spectrum
- Waves (mechanics)
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