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Articles

Fast 3D “wave-consistent” ray tomography based on a polynomial representation of a model

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Pages 441-456 | Received 28 Jan 2022, Accepted 21 Dec 2022, Published online: 16 Jan 2023

References

  • Ben-Menahem, A., and W.B. Beydoun. 1985. Range of validity of seismic ray and beam methods in general inhomogeneous media – I. General theory. Geophysical Journal International 82 no. 2: 207–34. doi:10.1111/j.1365-246X.1985.tb05135.x.
  • Bodin, T., M. Sambridge, and K. Gallagher. 2009. A self-parametrizing partition model approach to tomographic inverse problems. Inverse Problems 25: 1–22. doi:10.1088/0266-5611/25/5/055009.
  • Bona, A., M. Slawinski, and P. Smith. 2009. Ray tracing by simulated annealing: bending method. Geophysics 74 no. 2: T25–T32. doi:10.1190/1.3068006.
  • Bube, K.P., and J.K. Washbourne. 2008. Wave tracing: ray tracing for the propagation of band-limited signals: part 1 – theory. Geophysics 73 no. 5: VE377–VE384. doi:10.1190/1.2963514.
  • Cerveny, V., I.A. Molotkov, and I. Psencik. 1977. Ray theory in seismology. Prague: Charles Univ. Press.
  • Cerveny, V., and J.E.P. Soares. 1992. Fresnel volume ray tracing. Geophysics 57 no. 7: 902–15. doi:10.1190/1.1443303.
  • Dahlen, F.A., S.-H. Hung, and G. Nolet. 2000. Fréchet kernels for finite-frequency traveltimes – I. theory. Geophysical Journal International 141 no. 1: 157–74. doi:10.1046/j.1365-246X.2000.00070.x.
  • Gajewski, D., and I. Psencik. 1987. Computation of high-frequency seismic wavefields in 3-D laterally inhomogeneous anisotropic media. Geophysical Journal of the Royal Astronomical Society 91: 383–411. doi:10.1111/j.1365-246X.1987.tb05234.x.
  • Grechka, V.Y., and G.A. McMechan. 1996. 3D two-point ray tracing for heterogeneous, weakly transversely isotropic media. Geophysics 61 no. 6: 1883–94. doi:10.1190/1.1444103.
  • Hager, W.W., and H. Zhang. 2005. A new conjugate gradient method with guaranteed descent and an efficient line search. SIAM Journal on Optimization 16 no. 1: 170–92. doi:10.1137/030601880.
  • Hawkins, R., and M. Sambridge. 2015. Geophysical imaging using trans-dimensional treesю. Geophysical Journal International 203 no. 2: 972–1000. doi:10.1093/gji/ggv326.
  • Julian, B.R., and D. Gubbins. 1977. Three-dimensional seismic ray tracing. Journal of Geophysical Research 43 no. 1: 95–113.
  • Kravtsov, Y.A., and Y.I. Orlov. 1990. Geometrical optics of inhomogeneous media. Berlin, Heidelberg: Springer-Verlag.
  • Langan, R.T., I. Lerche, and R.T. Cutler. 1985. Tracing of rays through heterogeneous media: An accurate and efficient procedure. Geophysics 50 no. 9: 1456–65. doi:10.1190/1.1442013.
  • Lomax, A. 1994. The wavelength-smoothing method for approximating broad-band wave propagation through complicated velocity structures. Geophysical Journal International 117 no. 2: 313–34. doi:10.1111/j.1365-246X.1994.tb03935.x.
  • Marquering, H., F.A. Dahlen, and G. Nolet. 1999. Three-dimensional sensitivity kernels for finite-frequency traveltimes: the banana-doughnut paradox. Geophysical Journal International 137 no. 3: 805–15. doi:10.1046/j.1365-246x.1999.00837.x.
  • Moser, T.J., G. Nolet, and R. Snieder. 1992. Ray bending revisited. Bulletin of the Seismological Society of America 82 no. 1: 259–88. doi:10.1785/BSSA0820010259.
  • Nazarova, L.A., V.N. Zakharov, V.L. Shkuratnik, L.A. Nazarov, M.I. Protasov, and P.V. Nikolenko. 2017. Use of tomography in stress-strain analysis of coal-rock mass by solving boundary inverse problems. Procedia Engineering 191: 1048–55. doi:10.1016/j.proeng.2017.05.278.
  • Nolet, G. 2008. A breviary of seismic tomography: imaging the interior of the earth and Sun. Cambridge: Cambridge University Press.
  • Pereyra, V., W.H.K. Lee, and H.B. Keller. 1980. Solving two-point seismic ray tracing problems in a heterogeneous medium. Part 1. A general adaptive finite difference method. Bulletin of the Seismological Society of America 70: 79–99. doi:10.1785/BSSA0700010079.
  • Prothero, W.A., W.J. Taylor, and J.A. Eickemeyer. 1988. A fast, two-point, three-dimensional ray tracing algorithm using a single step search method. Bulletin of the Seismological Society of America 78: 1190–8. doi:10.1785/BSSA0780031190.
  • Rawlinson, N., J. Hauser, and M. Sambridge. 2008. Seismic ray tracing and wavefront tracking in laterally heterogeneous media. Advances in Geophysics 49: 203–73. doi:10.1016/S0065-2687(07)49003-3.
  • Sadeghi, H., S. Suzuki, and H. Takenaka. 1999. A two-point, three-dimensional seismic ray tracing using genetic algorithms. Physics of the Earth and Planetary Interiors 113: 355–65. doi:10.1016/S0031-9201(99)00011-4.
  • Sambridge, M.S., and B.L.N. Kennett. 1990. Boundary value ray tracing in a heterogeneous medium: a simple and versatile algorithm. Geophysical Journal International 101 no. 1: 157–68. doi:10.1111/j.1365-246X.1990.tb00765.x.
  • Scales, J., A. Gersztenkorn, and S. Treitel. 1988. Fast Lp solution of large, sparse linear systems, application to seismic traveltime tomography. Journal of Computational Physics 75 no. 2: 313–33. doi:10.1016/0021-9991(88)90115-5.
  • Um, J., and C. Thurber. 1987. A fast algorithm for two-point seismic ray tracing. Bulletin of the Seismological Society of America 77: 972–86. doi:10.1785/BSSA0770030972.
  • Vasco, D.W., and K. Nihei. 2019. Broad-band trajectory mechanics. Geophysical Journal International 216 no. 2: 745–59. doi:10.1093/gji/ggy435
  • Vasco, D.W., J.E. Peterson, and E.L. Majer. 1995. Beyond ray tomography: wavepaths and fresnel volumes. Geophysics 60 no. 6: 1790–804. doi:10.1190/1.1443912.
  • Velis, D.R., and T.J. Ulrych. 2001. Simulated annealing ray tracing in complex three dimensional media. Geophysical Journal International 145 no. 2: 447–59. doi:10.1046/j.1365-246x.2001.01401.x.
  • Virieux, J., and V. Farra. 1991. Ray tracing in 3-D complex isotropic media: An analysis of the problem. Geophysics 56 no. 12: 2057–69. doi:10.1190/1.1443018.
  • Washbourne, J.K., K.P. Bube, P. Carillo, and C. Addington. 2008. Wave tracing: ray tracing for the propagation of band-limited signals: part 2 – applications. Geophysics 73 no. 5: VE385–VE393. doi:10.1190/1.2963515.
  • Washbourne, J.K., J.W. Rector, and K.P. Bube. 2002. Crosswell traveltime tomography in three dimensions. Geophysics 67 no. 3: 853–71. doi:10.1190/1.1484529.
  • Woodward, V., D. Nichols, O. Zdraveva, P. Whitfield, and T. Johns. 2008. A decade of tomography. Geophysics 73 no. 5: VE5–VE11. doi:10.1190/1.2969907.
  • Yarman, C.E., X. Cheng, K. Osypov, D. Nichols, and M. Protasov. 2013. Band-limited ray tracing. Geophysical Prospecting 61 no. 6: 1194–205. doi:10.1111/1365-2478.12055.
  • Zhang, H.-L., and B.-L. Wang. 2021. Multi-Scale pseudo-bending raytracing for arbitrary complex media. Journal of Environmental and Engineering Geophysics 26 no. 3: 239–48. doi:10.32389/JEEG19-007.

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