引文
[1] 殷文,印兴耀,吴国忱等.高精度频率域弹性波方程有限差分方法及波场模拟.地球物理学报,2006,49(2) :561~568Yin W,Yin X Y,Wu G C,et al.The method of finite difference of high precision elastic equations in the frequency domain and wave field simulation.Chinese J.Geophys.(in Chinese),2006,49(2) :561 ~568
[2] 王红落.地震波传播与成像若干问题的研究[博士论文].北京:中国科学院地质与地球物理研究所,2005Wang H L.The study of several problems in seismic wave propagation and imaging[Ph.D.thesis](in Chinese).Beijing:Institute of Geology and Geophysics,Chinese Academy of Sciences,2005
[3] 张美根.各向异性弹性波正反演问题研究[博士论文].北京:中国科学院地质与地球物理研究所,2000Zhang M G.The researches of forward modeling and inversion of anisotropic elastic wave[Ph.D.thesis](in Chinese).Beijing:Institute of Geology and Geophysics,Chinese Academy of Sciences,2000
[4] Takenaka H,Wang Y B,Furumura T.An efficient approach of the pseudospectral method for modeling of geometrically symmetric seismic wavefield.Earth Planets Space,1999,51 (2) :73~79
[5] Fornberg B.The pseudospectral method:Accurate representation of interfaces in elastic wave calculations.Geophysics,1988,53(5) :625~637
[6] Komatitsch D.Spectral and spectral-element methods for the 2D and 3D electrodynamics equations in heterogeneous media.[Ph.D.thesis].Paris:Institute de Physique du Globe,1997[7] Roberts R A,Mullis C T.Digital Signal Processing.Addison-Wesley,Reading,Massachusetts,1987
[8] Mora P.Elastic finite difference with convolutional operators.Stanford Exploration Project Report,1986,48:277~289
[9] Holberg O.Computational aspects of the choice of operator and sampling interval for numerical differentiation in largescale simulation of wave phenomena.Geophys.Prosp.,2006,35(6) :629~655
[10] Mittet R,Holberg O.Fast finite-difference modeling of 3-D elastic wave propagation.58~(th) Ann.Int.Mtg.,Soc.Explor.Geophys.,Expanded Absttacts,1988. 1308~1311
[11] Zhou B,Greenhalgh S.Seismic scalar wave equation modeling by a convolutional differentiator.Bull.Seism.Am.,1992,82(1) :289~303
[12] 张中杰,滕吉文,杨顶辉.声波与弹性波场数值模拟中的褶积微分算子法.地震学报,1996,18(1) :63~69Zhang Z J,Teng J W,Yang D H.The convolutional differentiator method for numerical modeling of acoustic and elastic wave-field.Acta Seismological Sinica (in Chinese),1996,18(1) :63~69
[13] 戴志阳,孙建国,查显杰.地震波场模拟中的褶积微分算子法.吉林大学学报,2005,35(4) :520~524Dai Z Y,Sun J G,Cha X J.Seismic wave field modeling with convolutional differentiator algorithm.Journal of Jilin University (in Chinese),2005,35(4) :520~524
[14] 程冰洁.基于广义正交多项式迭积微分算子的地震波场数值模拟研究[博士论文].北京:中国科学院地质与地球物理研究所,2007Cheng B J.Study on seismic waves modeling by convolutional differentiator based on Forsyte polynomial[Ph.D.thesis](in Chinese).Beijing:Institute of Geology and Geophysics,Chinese Academy of Sciences,2007
[15] Zhou Y C,Gu Y,Wei G W.Conjugated filter approach for solving Burgers' equation.J.Comput.Appl.Math.,2002,149(2) :439~456
[16] Zhou Y C,Wei G W.High resolution conjugate filters for the simulation of flows.J.Comput.Appl.Math.,2003,189(1) :159~179
[17] Sun Y H,Zhou Y C,Li S G,et al.A windowed Fourier pseudospectral method for hyperbolic conservation laws.J.Comput.Appl.Math.,2006,214(2) :466~490
[18] Wei G W.Discrete singular convolution for the solution of the Fokker-Planck equations.J.Chem.Phys.,1999,110 (18) :8930~8942
[19] Bérenger J.A perfectly matched layer for the absorption of electromagnetic waves.J.Comput.Phys.,1994,114 (2) :185~200
[20] Komatitsch D,Tromp J.A perfectly matched layer absorbing boundary condition for the second order seismic wave equation.Geophys.J.Int.,2003,154(1) :146~153
[21] Alford R M,Kelly K R,Boore D M.Accuracy of finitedifference modeling of the acoustic wave equation.Geophysics,1974,39(6) :834~842
[22] 董良国,李培明.地震波传播数值模拟中的频散问题.天然气工业,2004,24(6) :53~56Dong L G,Li P M.Dispersive problem in seismic wave propagation numerical modeling.Natur.Gas Ind.(in Chinese),2004,24(6) :53~56
[23] 董良国,马在田,曹景忠.一阶弹性波方程交错网格高阶有限差分解法.地球物理学报,2000,43(3) :411~419Dong L G,Ma Z T,Cao J Z.The staggered-grid high-order difference method of one-order elastic equation.Chinese J.Geophys.(in Chinese),2000,43(3) :411~419
[24] Lines L R,Slawinski R,Bording R P.A recipe for stability of finite-difference wave-equation computations.Geophysics,1999,64(3) :967~969
[25] Mufti I R.Large scale three dimensional seismic models and their interpretive significance.Geophysics,1990,55(9) :1166~1182
[26] Wu W,Lines L R,Lu H.Analysis of high order finite difference schemes in 3D reverse time migration.Geophysics,1996,61(3) :845~856
[27] 董良国,马在田,曹景忠等.一阶弹性波方程交错网格高阶差分解法稳定性研究.地球物理学报,2000,43(6) :856~864DongLG,MaZT,CaoJ Z,et al.A study on stability of the staggered-grid high-order difference method of first-order elastic wave equation.Chinese J.Geophys.(in Chinese),2000,43(6) :856~864