Aki K, Richards P G. Quantitative Seismology: Theory and Methods. New York: W. H. Freeman and Co., 1980.
[2]
Vidale J E. Finite-difference calculation of travel times. Bull. Seismol. Soc. Am., 1988, 78(6): 2062-2076.
[3]
Lan H Q, Zhang Z J. Topography-dependent eikonal equation and its solver for calculating first-arrival traveltimes with an irregular surface. Geophys. J. Int., 2013, 193(2): 1010-1026, doi: 10.1093/gji/ggt036.
[4]
Cerveny V, Klimes L, Psencik I. Complete seismic-ray tracing in three-dimensional structures.//Doornbos D J. Seismological Algorithms. New York: Academic Press, 1988: 89-168.
[5]
Langan R T, Lerche I, Cutler R T. Tracing of rays through heterogeneous media: An accurate and efficient procedure. Geophysics, 1985, 50(9): 1456-1465.
[6]
Virieux J, Farra V. Ray tracing in 3-D complex isotropic media: An analysis of the problem. Geophysics, 1991, 56(12): 2057-2069.
[7]
Sun Y. Ray tracing in 3-D media by parameterized shooting. Geophys. J. Int., 1993, 114(1): 145-155.
[8]
Sambridge M, Braun J, McQueen H. Geophysical parameterization and interpolation of irregular data using natural neighbors. Geophys. J. Int., 1995, 122(3): 837-857.
[9]
徐涛, 徐果明, 高尔根等. 三维复杂介质的块状建模和试射射线追踪. 地球物理学报, 2004, 47(6): 1118-1126. Xu T, Xu G M, Gao E G, et al. Block modeling and shooting ray tracing in complex 3-D media. Chinese J. Geophys. (in Chinese), 2004, 47(6): 1118-1126.
[10]
Prothero W, Taylor W J, Eickemeyer J A. A fast two-point, three-dimensional raytracing algorithm using a simple step search method. Bull. Seismol. Soc. Am., 1988, 78: 1190-1198.
[11]
Pereyra V. Two-point ray tracing in general 3-D media. Geophys. Prospect., 1992, 40(3): 267-287.
[12]
Mao W J, Stuart G W. Rapid multi-wave-type ray tracing in complex 2-D and 3-D isotropic media. Geophysics, 1997, 62(1): 298-308.
[13]
Vinje V, Iversen E, Astebol K, et al. Estimation of multivalued arrivals in 3D models using wavefront construction-Part Ⅱ. Geophys. Prospect., 1996, 44(5): 819-842.
[14]
Moser T J. Shortest path calculation of seismic rays. Geophysics, 1991, 56(1): 59-67.
[15]
Zhang Z J, Wang G J, Teng J W, et al. CDP mapping to obtain the fine structure of the crust and upper mantle from seismic sounding data: An example for the southeastern China. Phys. Earth Planet. Inter., 2000, 122(1-2): 133-146.
[16]
Velis D R, Ulrych T J. Simulated annealing two-point ray tracing. Geophys. Res. Lett., 1996, 23(2): 201-204.
[17]
Velis D R, Ulrych T J. Simulated annealing ray tracing in complex three-dimensional media. Geophys. J. Int., 2001, 145(2): 447-459.
[18]
Zhang Z, Lin G, Chen J, et al. Inversion for elliptically anisotropic velocity using VSP reflection traveltimes. Geophys. Prospect., 2003, 51(2): 159-166.
[19]
Zhang Z J, Badal J, Li Y K, et al. Crust-upper mantle seismic velocity structure across Southeastern China. Tectonophysics, 2005, 395(1-2): 137-157.
[20]
Zhang Z J, Klemperer S L. West-east variation in crustal thickness in northern Lhasa block, central Tibet, from deep seismic sounding data. J. Geophys. Res., 2005, 110: 1-14, doi: 10.1029/2004JB003139.
[21]
Zhang Z J, Xu T, Zhao B, et al. Systematic variations in seismic velocity and reflection in the crust of Cathaysia: New constraints on intraplate orogeny in the South China continent. Gondwana Res., 2013, 24(3-4): 902-917.
[22]
徐果明, 卫山, 高尔根等. 二维复杂介质的块状建模及射线追踪. 石油地球物理勘探, 2001, 36(2): 213-219. Xu G M, Wei S, Gao E G, et al. Block model-building and ray-tracing in 2-D complicated medium. Oil Geophys. Prospect. (in Chinese), 2001, 36(2): 213-219.
[23]
Rawlinson N G, Houseman G A, Collins C D N. Inversion of seismic refraction and wide-angle reflection traveltimes for three-dimensional layered crustal structure. Geophys. J. Int., 2001, 145(2): 381-400.
[24]
Mallet J L. Discrete smooth interpolation. ACM Transactions on Graphics, 1989, 8(2): 121-144.
[25]
滕吉文, 张中杰, 白武明等. 岩石圈物理学. 北京: 科学出版社, 2003. Teng J W, Zhang Z J, Bai W M, et al. Lithosphere Physics (in Chinese). Beijing: Science Press, 2003.
[26]
陈运泰, 滕吉文, 张中杰. 地球物理学的回顾与展望. 地球科学进展, 2001, 16(5): 634-642. Chen Y T, Teng J W, Zhang Z J. Geophysics: The 20th century in retrospect and the 21st century in prospect. Advance in Earth Sciences (in Chinese), 2001, 16(5): 634-642.
[27]
Cerveny V. Seismic Ray Theory. Cambridge: Cambridge University Press, 2001.
[28]
Vidale J E. Finite-difference calculations of traveltimes in three dimensions. Geophysics, 1990, 55(5): 521-526.
[29]
Julian B R, Gubbins D. Three-dimensional seismic ray tracing. J. Geophys., 1977, 43: 95-113.
[30]
Thurber C H, Ellsworth W L. Rapid solution of ray tracing problems in heterogeneous media. Bull. Seismol. Soc. Am., 1980, 70(4): 1137-1148.
[31]
Pereyra V, Lee W H K, Keller H B. Solving two-point seismic-ray tracing problems in a heterogeneous medium. Part 1. A general adaptive finite difference method. Bull. Seismol. Soc. Am., 1980, 70(1): 79-99.
[32]
Keller H B, Perozzi D J. Fast seismic ray tracing. SIAM J. Appl. Math., 1983, 43(4): 981-992.
[33]
Um J, Thurber C. A fast algorithm for two-point seismic ray tracing. Bull. Seismol. Soc. Am., 1987, 77(3): 972-986.
[34]
Xu T, Xu G M, Gao E G, et al. Block modeling and segmentally iterative ray tracing in complex 3D media. Geophysics, 2006, 71(3): T41-T51.
[35]
Xu T, Zhang Z J, Gao E G, et al. Segmentally iterative ray tracing in complex 2D and 3D heterogeneous Block Models. Bull. Seismol. Soc. Am., 2010, 100(2): 841-850.
[36]
Vinje V, Iverson E, Gjystdal H. Traveltime and amplitude estimation using wavefront construction. Geophysics, 1993, 58(8): 1157-1166.
[37]
Zhao A H, Zhang Z J, Teng J W. Minimum travel time tree algorithm for seismic ray tracing: Improvement in efficiency. J. Geophys. Eng., 2004, 1(4): 245-251.
[38]
Zhang Z J, Wang Y H. Crustal structure and contact relationship revealed from deep seismic sounding data in South China. Phys. Earth Planet. Inter., 2007, 165(1-2): 114-126.
[39]
Zelt C A, Smith R B. Seimic traveltime inversion for 2-D crustal velocity structure. Geophys. J. Int., 1992, 108(1): 16-34.
[40]
Gjystdal H, Reinhardsen J E, stebol K. Computer representation of complex 3-D geological structures using a new "solid modeling" technique. Geophys. Prospect.,1985, 33(8): 1195-1211.
[41]
Pereyra V. Modeling, ray tracing, and block nonlinear travel-time inversion in 3-D. Pure and Applied Geophysics, 1996, 148(3-4): 345-386.
[42]
Xu T, Zhang Z J, Zhao A H, et al. Sub-triangle shooting ray tracing in complex 3D VTI media. Journal of Seismic Exploration, 2008, 17(2-3): 131-144.
[43]
Mallet J L. Discrete smooth interpolation in geometric modeling. Computer-Aided Design, 1992, 24(4): 178-193
[44]
Al-Chalabi M. Time-depth relationships for multiplayer depth conversion. Geophys. Prospect., 1997, 45(4): 715-720.
[45]
Thurber C H. Earthquake locations and three-dimensional crustal structure in the Coyote Lake area, central California. J. Geophys. Res., 1983, 88(B10): 8226-8236.
[46]
Zhao D P, Hasegawa A, Horiuchi S. Tomographic imaging of P and S wave velocity structure beneath northeastern Japan. J. Geophys. Res., 1992, 97: 19909-19928.
