Inversion of Combined Surface and Borehole First-Arrival Time
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 138, Issue 3
Abstract
Site characterization for the design of geotechnical structures such as deep foundations is crucial, as unanticipated site conditions still represent the most common and most significant cause of problems and disputes that occur during construction. Surface-based refraction methods have been widely used recently to assess spatial variation, but one of the biggest limitations of these methods is that they cannot well characterize reverse profiles (decreasing in velocity with depth), buried low-velocity zones, or deep bedrock. An addition of borehole data to surface data is expected to improve inversion results. In this study, the coupling of so-called downhole and refraction tomography techniques using only one borehole is presented. To both qualitatively and quantitatively appraise the capability of the data, a global inversion scheme based on simulated annealing was investigated. Many synthetic and real test data sets with or without boreholes were inverted using the developed technique to obtain both inverted profiles and associated quantitative uncertainties. A comparison of tomograms utilizing the combined borehole and surface data against tomograms developed using just the surface data suggests that significant additional resolution of inverted profiles at depth are obtained with the addition of a borehole. The uncertainty estimates provide a quantitative assessment of the reliability of the interpreted profiles. It is also found that the quantitative uncertainties associated with the inverted profiles are significantly reduced when adding a borehole. In addition, the inversion results of the combined data provide credible information for the design of deep foundations, particularly useful in implementing the new load and resistance factor design methodology that can explicitly account for spatial variability in design parameters.
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Acknowledgments
The work described herein was supported by the Florida Department of Transportation, and the authors thank the Project Panel of David Horhota, Peter Lai, Larry Jones, Brian Bixler, and Rodrigo Herrera for their technical support and encouragement.
References
Burger, H. R. (1992). Exploration geophysics of the shallow subsurface, Prentice-Hall, Englewood Cliffs, NJ.
Chopp, D. L. (2001). “Some improvements on fast marching method.” SIAM J. Sci. Comput., 23(1), 230–244.
Dijkstra, E. W. (1959). “A note on two problems in connection with graphs.” Numer. Math. J., 1(1), 269–271.
Hassouna, M. S., and Farag, A. A. (2007). “Multistencils fast marching methods: A highly accurate solution to the Eikonal equation on Cartesian domains.” IEEE Trans. Pattern Anal. Mach. Intell., 29(9), 1563–1574.
Hiltunen, D. R., and Cramer, B. J. (2008). “Application of seismic refraction tomography in karst terrane.” J. Geotech. Geoenviron. Eng., 134(7), 938–948.
Kim, S. (1999). “ENO-DNO-PS: A stable, second-order accuracy Eikonal solver.” Soc. Explo. Geophys, 1747–1750.
Moser, T. J. (1991). “Shortest path calculation of seismic rays.” Geophysics, 56(1), 59–67.
Nakanishi, J., and Yamaguchi, K. (1986). “A numerical experiment on non-linear image reconstruction from first arrival times for two-dimensional island structure.” J. Phys. Earth, 34(2), 195–201.
National Academy of Sciences (NAS). (2006). Geological and geotechnical engineering in the new millennium: Opportunities for research and technological innovation, National Academies Press, Washington, DC.
Nichols, D. E. (1996). “Maximum energy travel times calculated in seismic frequency band.” Geophysics, 61(1), 253–263.
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.
Redpath, B. B. (1973). “Seismic refraction exploration for engineering site investigations.” Tech. Rep. TR E-73-4, U.S. Army Engineer Waterways Experiment Station Explosive Excavation Research Laboratory, Livermore, CA.
Sambridge, M., and Mosegaard, K. (2002). “Monte Carlo methods in geophysical inverse problems.” Rev. Geophys., 40(3), 1009.
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). “Global optimization methods in geophysical inversion.” Adv. Explor. Geophys., 4, Elsevier, New York.
Sethian, J. A. (1996). “A fast marching level set method for monotonically advancing fronts.” Proc. Natl. Acad. Sci., 93(4), 1591–1595.
Sethian, J. A. (1999). Level set methods and fast marching methods, 2nd Ed., Cambridge Univ. Press Cambridge, UK.
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.
Sheehan, J. R., Doll, W. E., and Mandell, W. A. (2005). “An evaluation of methods and available software for seismic refraction tomography analysis.” J. Environ. Eng. Geophys., 10(1), 21–34.
Van Trier, J., and Symes, W. (1991). “Upwind finite-difference calculation of travel times.” Geophysics, 56(6), 812–821.
Vidale, J. E. (1988). “Finite-difference travel time calculation.” Bull. Seismol. Soc. Am., 78, 2062–2076.
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© 2012 American Society of Civil Engineers.
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Received: Aug 5, 2010
Accepted: Jun 18, 2011
Published online: Jun 21, 2011
Published in print: Mar 1, 2012
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