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Effect of wave-inclusion interactions in the crosshole tomographic imaging of heterogeneous media

  • Geotechnical Engineering
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KSCE Journal of Civil Engineering Aims and scope

Abstract

This paper describes a series of physical and numerical experiments designed to evaluate elastic wave-inclusion interactions and the ability of crosshole travel-time tomography to detect anomalies in heterogeneous media. The effects of diffraction-driven time delays on wave propagation detection methodologies are considered using a simple circular Plexiglas plate with a carved slot. Then, the quality of the tomographic inversion for different wavelengths to ray-path lengths and anomaly size ratios are tested using a rectangular Plexiglas plate containing a circular cavity. Guidelines for establishing the proper measurement configuration are developed based on the observed wave-inclusion interactions. Finally, numerical simulations are performed to extend the proposed guidelines for stress-dependent field applications. The simulated results show that crosshole travel-time tomography, with a measurement configuration (e.g., choice of wavelength and ray-path length) considering diffraction phenomena, can detect the size of an anomaly in a stress-dependent heterogeneous medium with a 10% error.

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References

  • Aki, K. and Richards, P. G. (1980). Quantitative Seismology: Theory and Methods, Ch 13. W.H. Freeman, San Francisco.

    Google Scholar 

  • Backus, G. E. (1962). “Long-wave elastic anisotropy produced by horizontal layering.” Journal of Geophysical Research, Vol. 67, No. 11, pp. 4427–4440, DOI: 10.1029/JZ067i011p04427.

    Article  MATH  Google Scholar 

  • Becht, A., Tronicke, J., Appel, E., and Dietrich, P. (2004). “Inversion strategy in crosshole radar tomography using information of data subsets.” Geophysics, Vol. 69, No. 1, pp. 222–230, DOI: 10.1190/1.1649390.

    Article  Google Scholar 

  • Berryman, J. G. (1989). “Fermat’s principle and nonlinear traveltime tomography.” Physical Review Letters, Vol. 62, No. 25, pp. 2953–2956, DOI: 10.1103/PhysRevLett.62.2953.

    Article  MathSciNet  MATH  Google Scholar 

  • Boschetti, F., Dentith, M. D., and List, R. D. (1996). “A fractal-based algorithm for detecting first arrivals on seismic traces.” Geophysics, Vol. 61, No. 4, pp. 1095–1102, DOI: 10.1190/1.1444030.

    Article  Google Scholar 

  • Bregman N. D., Bailey R. C., and Chapman, C. H. (1989). “Crosshole seismic tomography.” Geophysics, Vol. 54, No. 2, pp. 200–215, DOI: 10.1190/1.1442644.

    Article  Google Scholar 

  • Carcione, J. M., Kosloff, D., and Behle, A. (1991). “Long-wave anisotropy in stratified media: a numerical test.” Geophysics, Vol. 56, No. 2, pp. 245–254, DOI: 10.1190/1.1443037.

    Article  Google Scholar 

  • Cardarelli, E., Marrone, C., and Orlando, L. (2003). “Evaluation of tunnel stability using integrated geophysical methods.” Journal of Applied Geophysics, Vol. 52, No. 2-3, pp. 93–102, DOI: 10.1016/S0926-9851(02)00242-2.

    Article  Google Scholar 

  • Carrion, P. (1992). “Dual tomography for imaging complex structures.” Geophysics, Vol. 56, No. 9, pp. 1395–1404, DOI: 10.1190/1.1443159.

    Article  Google Scholar 

  • Fernandez, A. and Santamarina J. C. (2003). “Design criteria for geotomographic field studies.” Geotechnical Testing Journal, Vol. 26, No. 4, pp. 410–420, DOI: 10.1520/GTJ11258J.

    Google Scholar 

  • Fratta, D. and Santamarina, J.C. (2002). “Shear wave propagation in jointed rock: state of stress.” Géotechnique, Vol. 52, No. 7, pp. 495–505, DOI: 10.1680/geot.2002.52.7.495.

    Article  Google Scholar 

  • Graff, K. F. (1975). Wave Motion in Elastic Solids, Dover, New York.

  • Gritto, R., Korneev, V. A., Daley, T. M., Feighner, M. A., Majer, E. L., and Peterson, J. E. (2004). “Surface-to-tunnel seismic tomography studies at Yucca Mountain, Nevada.” Journal of Geophysical Research, Vol. 109, No. B3, pp. 1–14, DOI: 10.1029/2002JB002036.

    Article  Google Scholar 

  • Hagedoorn, J. G. (1964). “The elusive first arrival.” Geophysics, Vol. 29, No. 5, pp. 806–813, DOI: 10.1190/1.1439421.

    Article  Google Scholar 

  • Helbig, K. (1984). “Anisotropy and dispersion in periodically layered media.” Geophysics, Vol. 49, No. 4, pp. 364–373, DOI: 10.1190/1.1441672.

    Article  Google Scholar 

  • Itasca Consulting Group, Inc. (2005). FLAC–Fast Lagrangian Analysis of Continua, Ver. 5.0, User’s Manual, Itasca, Minneapolis.

  • Ivansson, S. (1986). “Seismic borehole tomography -theory and computational methods.” Proceedings of the IEEE 74, pp. 328–338, DOI: 10.1109/PROC.1986.13459.

    Article  Google Scholar 

  • Jackson, M. J. and Tweeton, D. R. (1996). 3DTOM -Three-dimensional geophysical tomography, USBM Report of Investigation 9617.

    Google Scholar 

  • Kim, K.-S. and Fratta, D. (2010). “Travel-time tomographic imaging: multi-frequency diffraction evaluation of a medium with a highcontrast inclusion.” NDT&E International, Vol. 43, No. 8, pp. 695–705, DOI: 10.1016/j.ndteint.2010.08.001.

    Article  Google Scholar 

  • Khaksar, A., Griffiths, C. M., and McCann, C. (1999). “Compressionaland shear-wave velocities as a function of confining stress in dry sandstones.” Geophysical Prospecting, Vol. 47, No. 4, pp. 487–508, DOI: 10.1046/j.1365-2478.1999.00146.x.

    Article  Google Scholar 

  • Kuhlemeyer, R. L. and Lysmer, J. (1973). “Finite element method accuracy for wave propagation problems.” Journal of the Soil Mechanics and Foundations Divisions, Vol. 99, No. SM5, pp. 421–427.

    Google Scholar 

  • Lee, J.-S., Fernandez, A. L., and Santamarina, J. C. (2005). “S-wave velocity tomography: small-scale laboratory application.” Geotechnical Testing Journal, Vol. 28, No. 4, pp. 336–344, DOI: 10.1520/GTJ12638.

    Google Scholar 

  • Lohani, T. N., Imai, G., and Shibuya, S. (1999). “Determination of shear wave velocity in bender element test.” Proceedings of the 2nd ICEGE, Vol. 1, pp. 101–106.

    Google Scholar 

  • Mancuso, C., Simonelli, A. L., and Vinale, F. (1989). “Numerical analysis of in-situ S-wave measurements.” Proceedings of the 12th ICSMFE, Vol. 3, pp. 277–280.

    Google Scholar 

  • Marion, D., Mukerji, T., and Mavko, G. (1994). “Scale effects on velocity dispersion: From ray to effective medium theories in stratified media.” Geophysics, Vol. 59, No. 10, pp. 1613–1619, DOI: 10.1190/1.1443550.

    Article  Google Scholar 

  • Mavko, G., Mukerji, T., and Dvorkin, J. (1998). The Rock Physics Handbook–Tools for Seismic Analysis in Porous Media, Cambridge University Press, Cambridge.

    Google Scholar 

  • Melia, P. J. and Carlson, R. L. (1984). “An experimental test of P-wave anisotropy in stratified media.” Geophysics, Vol. 49, No. 4, pp. 374–378, DOI: 10.1190/1.1441673.

    Article  Google Scholar 

  • Mukerji, T., Mavko, G., Mujica, D., and Lucet, N. (1995). “Scaledependent seismic velocity in heterogeneous media.” Geophysics, Vol. 60, No. 4, pp. 1222–1233, DOI: 10.1190/1.1443851.

    Article  Google Scholar 

  • Nishizawa, O. and Kitagawa, G. (2007). “An experimental study of phase angle fluctuation in seismic waves in random heterogeneous media: time-series analysis based on multivariate AR model.” Geophysical Journal International, Vol. 169, No. 1, pp. 149–160, DOI: 10.1111/j.1365-246X.2006.03270.x.

    Article  Google Scholar 

  • Pellerin, L. and Alumbaugh, D. L. (1997). “Tools for electromagnetic investigation of the shallow subsurface.” The Leading Edge, Vol. 16, No. 11, pp. 1631–1638.

    Article  Google Scholar 

  • Potts, B. D. and Santamarina, J. C. (1993). “Geotechnical tomography: the effects of diffraction.” geotechnical testing journal, Vol. 16, No. 4, pp. 510–517, DOI: 10.1520/GTJ10290J.

    Article  Google Scholar 

  • Prada, J., Fratta, D., and Santamarina, J. C. (2000). “Tomographic detection of low-velocity anomalies with limited data sets (velocity and attenuation).” Geotechnical Testing Journal, Vol. 23, No. 4, pp. 472–486, DOI: 10.1520/GTJ11068J.

    Article  Google Scholar 

  • Santamarina, J. C., Klein, K., and Fam, M. (2001). Soils and Waves -Particulate materials behavior, characterization and process monitoring, John Wiley & Sons, New York.

    Google Scholar 

  • Um, J. and Thurber, C. (1987). “A fast algorithm for two-point seismic ray tracing.” Bulletin of the Seismological Society of America, Vol. 77, No. 3, pp. 972–986.

    Google Scholar 

  • Virieux, J. (1986). “P-SV wave propagation in heterogeneous media: Velocity-stress finite-difference method.” Geophysics, Vol. 51, No. 4, pp. 889–901, DOI: 10.1190/1.1442147.

    Article  Google Scholar 

  • Walters, S. L., Miller, R. D., and Xia, J. (2007). “Near-surface tunnel detection using diffracted P-waves: A feasibility study.” SEG Expanded Abstracts, Vol. 26, pp. 1128–1132, DOI: 10.1190/1.2792606.

    Google Scholar 

  • Wyllie, M. R. J., Gregory, A. R., and Gardner, L. W. (1956). “Elastic wave velocities in heterogeneous and porous media.” Geophysics, Vol. 21, No. 1, pp. 41–70, DOI: 10.1190/1.1438217.

    Article  Google Scholar 

  • Zhou, B., Sinadinovski, C., and Greenhalgh, S. A. (1992). “Nonlinear inversion travel-time tomography: Imaging high-contrast inhomogeneities.” Exploration Geophysics, Vol. 23, No. 2, pp. 459–464, DOI: 10.1071/EG992459.

    Article  Google Scholar 

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Kim, KS., Fratta, D. Effect of wave-inclusion interactions in the crosshole tomographic imaging of heterogeneous media. KSCE J Civ Eng 22, 482–493 (2018). https://doi.org/10.1007/s12205-017-1072-1

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