Two-Dimensional Inversion of Full Waveforms Using Simulated Annealing
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 138, Issue 9
Abstract
The paper presents a technique to invert two-dimensional (2D) full wavefields using simulated annealing and a finite-difference solution of the 2D elastic wave equation in the time-distance domain. The algorithm generates all possible wave types (body waves, surface waves, etc.) to simulate complex seismic wavefields and for comparison with observed data. Model runs with both synthetic and actual experimental data sets illustrate the capability of the inversion technique. The results from synthetic data demonstrate the potential of characterizing both low- and high-velocity layers in laterally inhomogeneous profiles, and the inversion results from actual data are consistent with the crosshole, standard penetration test N-value, and material log results. Based on the cases presented, the coupling of global optimization with full waveforms is computationally practical; the results presented herein required less than 1 day of computer time on a standard laptop computer.
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Acknowledgments
The Florida Department of Transportation supported the work described herein, and the writers thank the Project Panel of David Horhota, Peter Lai, Larry Jones, Brian Bixler, and Rodrigo Herrera for their technical support and encouragement.
References
Calderón-Marcías, C., and Luke, B. (2007). “Improved parameterization to invert Rayleigh-wave data for shallow profiles containing stiff inclusions.” Geophysics, 72(1), U1–U10.
Cercato, M. (2011). “Global surface wave inversion with model constraints.” Geophys. Prospect., 59(2), 210–226.
Clayton, R., and Engquist, B. (1977). “Absorbing boundary condition for acoustic and elastic waves.” Bull. Seismol. Soc. Am., 67(6), 1529–1540.
Dal Moro, G., Pipan, M., and Gabrielli, P. (2007). “Rayleigh wave dispersion curve inversion via genetic algorithms and marginal posterior probability density estimation.” J. Appl. Geophys., 61(1), 39–55.
Gardner, J. M., Marosi, K. T., and Hiltunen, D. R. (2009). “Detailing of a systematic protocol for surface wave inversion.” Contemporary topics in in situ testing, analysis, and reliability of foundations, M. Iskander, D. F. Laefer, and M. H. Hussein, eds., 186, ASCE, Reston, VA, 66–73.
Ingber, L. (1989). “Very fast simulated re-annealing.” Math. Comput. Modell., 12(8), 967–993.
Ingber, L. (1993). “Simulated annealing: Practice versus theory.” Math. Comput. Modell., 18(11), 29–57.
Louie, J. N. (2001). “Faster, better, shear-wave velocity to 100 meters depth from refraction microtremor arrays.” Bull. Seismol. Soc. Am., 91(2), 347–364.
Luke, B., and Calderón-Marcías, C. (2007). “Inversion of seismic surface wave data to resolve complex profiles.” J. Geotech. Geoenviron. Eng., 133(2), 155–165.
Marosi, K. E., and Hiltunen, D. R. (2001). “Systematic protocol for SASW inversion.” Proc., 4th Int. Conf. on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics, San Diego, Missouri University of Science and Techology, Rolla, MO.
Nasseri-Moghaddam, A., Cascante, G., Phillips, C., and Hutchinson, D. J. (2007). “Effects of underground cavities on Rayleigh waves—field and numerical experiments.” Soil Dyn. Earthquake Eng., 27(4), 300–313.
Nazarian, S., Stokoe, K. H.,II, and Hudson, W. R. (1983). “Use of spectral analysis of surface waves method for determination of moduli and thicknesses of pavement systems.” Transportation Research Record 930, Transportation Research Board, Washington, DC, 38–45.
O’Neill, A., Dentith, M., and List, R. (2003). “Full-waveform P-SV reflectivity inversion of surface waves for shallow engineering applications.” Explor. Geophys., 34(3), 158–173.
Park, C. B., Miller, R. D., and Xia, J. (1999). “Multi-channel analysis of surface wave (MASW).” Geophysics, 64(3), 800–808.
Plessix, R.-E. (2008). “Introduction: Towards a full waveform inversion.” Geophys. Prospect., 56(6), 761–763.
Pullammanappallil, S. K., and Louie, J. N. (1994). “A generalized simulated annealing optimization for inversion of first arrival time.” Bull. Seismol. Soc. Am., 84(5), 1397–1409.
Richart, F. E.,Jr., Hall, J. R.,Jr., and Woods, R. D. (1970). Vibrations of soils and foundations, Prentice-Hall, Englewood Cliffs, NJ.
Sambridge, M., and Mosegaard, K. (2002). “Monte Carlo methods in geophysical inverse problems.” Rev. Geophys., 40(3), 1–29.
Sen, M. K., and Stoffa, P. L. (1991). “Nonlinear one-dimensional seismic waveform inversion using simulated annealing.” Geophysics, 56(10), 1624–1638.
Sen, M. K., and Stoffa, P. L. (1995). Advances in exploration geophysics: Global optimization methods in geophysical inversion, Vol. 4, Elsevier Science, New York.
Sharma, S. P., and Kaikkonen, P. (1998). “Two-dimensional non-linear inversion of VLF-R data using simulated annealing.” Geophys. J. Int., 133(3), 649–668.
Tran, K. T., and Hiltunen, D. R. (2011). “An assessment of surface wave techniques at the Texas A&M national geotechnical experimentation site.” Proc., Geotechnical Risk Assessment and Management in Geoengineering (GeoRisk 2011), C. H. Juang, K. K. Phoon, A. J. Puppala, R. A. Green, and G. A. Fenton, eds., 224, ASCE, Reston, VA, 859–866.
Virieux, J. (1986). “P-SV wave propagation in heterogeneous media: Velocity-stress finite-difference method.” Geophysics, 51(4), 889–901.
Virieux, J., and Operto, S. (2009). “An overview of full-waveform inversion in exploration geophysics.” Geophysics, 74(6), WCC1–WCC26.
Zywicki, D. J., and Rix, G. J. (2005). “Mitigation of near-field effects for seismic surface wavevelocity estimation with cylindrical beamformers.” J. Geotech. Geoenviron. Eng., 131(8), 970–977.
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© 2012 American Society of Civil Engineers.
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Received: Jul 23, 2010
Accepted: Dec 14, 2011
Published online: Dec 17, 2011
Published in print: Sep 1, 2012
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