引文
[1]陈景波,秦孟兆.辛几何算法在射线追踪中的应用[J].数值计算与计算机应用,2000,21(4):254-265.
[2]Cerveny V.Seismic ray theory[M].Cambridge:Cambridge Univ Press,2001.
[3]Pao Y H,Varatharajulu V.Huygen's principle,radiation condi-tions,and intergral formulas for the scattering of elastic wave[J].J.Acoust.Soc.Am.,1976,59(6):1361-1371.
[4]Ursin B.Review of elastic and electromagnetic wave propagation in horizontally layered media[J].Geophysics,1983,44(8):1063-1081.
[5]Alterman Z,Karal F C.Propagation of elastic waves in layered media by finite-difference methods[J].Bull.Seism.Soc.Am.,1968,58(1):367-398.
[6]董良国,马在田,曹景忠.一阶弹性波方程交错网格高阶差分法稳定性研究[J].地球物理学报,2000,43(6):856-864.
[7]张美根,王妙月,李小凡,等.各向异性弹性波场的有限元数值模拟[J].地球物理学进展,2002,17(3):384-389.
[8]Gazdag J.Modeling of the acoustic wave equation with transform methods[J].Geophysics,1981,46(5):854-859.
[9]Komatitsch D.Spetctal and spectral-element methods for the2D and3D elastodynamics equations in heterogeneous media[D].Par-is:Institute de Physique du Globe,1997.
[10]Wang Y B,Takenaka H,Furumura T.Modelling seismic wave prop-agation in a two-dimensional cylindrical whole-earth model using the pseudospectral method[J].Geophys.J.Int.,2001,145(3):689-708.
[11]Yang D H,Song G J,Lu M.Optimally accurate nearly analyti dis-crete scheme for wave-field simulation in3D anisotropic media[J].Bull.Seism.Soc.Am.,2007,97(5):1557-569.
[12]Li X F,Zhu T,Zhang M G,et al.Seismic scalar wave equation with variable coefficient modeling by a new convolutional differentiator[J].Computer Physics Communications,2010,181:1850-858.
[13]Bayliss A,Jordan K E,Lemesurier B J.A fourth-order accurate fi-nite-difference scheme for the computation of elastic wave[J].Bull.Seism.Soc.Am.,1986,76(4):1115-1132.
[14]吴国忱,王华忠.波场模拟中的数值频散分析与校正策略.地球物理学进展,2005,20(1):58-65.
[15]Fornberg B.The Pseudospectral method:Comparison with finite differences for the elastic wave equation[J].Geophysics,1987,52(4):483-501.
[16]Fornberg B.The Pseudospectral method:Accurate representation of interfaces in elastic wave calculations[J].Geophysics,1988,53(5):625-637.
[17]Li X F,Wang W S,Lu M W,et al.Structure-preserving modeling of elastic wave:a symplectic discrete singular convolution differetiator method[J].Geophys.J.Int.,2012,188(3):1382-1392.
[18]龙桂华,李小凡,张美根.错格傅立叶伪谱微分算子在波场模拟中的运用[J].地球物理学报,2009,52(1):193-199.
[19]龙桂华,李小凡,江东辉.基于交错网格Fourier伪谱微分矩阵算子的地震波场模拟GPU加速方案[J].地球物理学报,2010,53(13):2934-2971.
[20]Mora P.Elastic Fininte Difference with Convolutional Operatrors[R].California:Stanford Exploration Project Report,1986:277-290.
[21]Holberg O.Comutational aspects of the choice of operator and sam-pling interval for numerical differentiation in large-scale simulation of wave phenomena[J].Geophysical Prospecting,1987,35(6):629-655.
[22]Zhou B,Greenhalgh S.Seismic scalar wave equation modeling by a convolutonal differentiator[J].Bull.Seism.Soc.Amer.,1992,82(1):289-303.
[23]滕吉文,张中杰,杨顶辉,等.各向异性介质中褶积微分算子法三分量地震资料的数值仿真[J].石油物探,1995,34(3):15-22.
[24]张中杰,滕吉文,杨顶辉.声波与弹性波数值模拟中的褶积微分算子法[J].地震学报,1996,18(1):63-69.
[25]戴志阳,孙建国,查显杰.地震波场模拟中的褶积微分算子法[J].吉林大学学报:地球科学版,2005,35(4):520-524.
[26]龙桂华,赵宇波,赵家福.地震波数值模拟中的最优Shannnon奇异核褶积微分算子[J].地震学报,2011,33(5):650-662.
[27]Wei G W.Quasi wavelets and quasi interpolating wavelets[J].Chemical Physics Letters,1998,296:215-222.
[28]Qian L W.On the Regularized whittaker-kotel'nikov Shannon sham-pling formula[J].Proceedings of the American Mathematical Soci-ety,2002,131(4):1169-1176.
[29]Feng B F,Wei G W.A comparison of the spectral and the discrete singular convolution schemes for the KdV-type equations[J].Jour-nal of Computational and Applied Mathematics,2002,145(1):183-188.
[30]Li X F,Li Y Q,Zhang M G.Scalar seismic wave equation modeling by a multisymplectic discrete singular convolution differentiator method[J].Bull.Seis.Soc.Am.,2011,101(4):1710-1718.
[31]龙桂华,李小凡,张美根.基于Shannon奇异核理论的褶积微分算子在地震波模拟中的应用[J].地球物理学报,2009,52(4):1014-1024.
[32]Jean Virieux.P-SV wave propagation in heterogeneous media Veloc-ity-stress finite-difference method[J].Geophysics,1986,51(4):889-901.
[33]李一琼,李小凡,朱童.基于辛格式奇异核褶积微分算子的地震标量波场模拟[J].地球物理学报,2011,54(7):1827-1834.
[34]Aki K,Richards P G.Quantitative seismology theory and methods[R].San Franciso:W H Freeman and Company,1980.
[35]Berenger J.A perfectly match layer for the absorption of electromag-netic waves[J].J Comput Phys,1994,114(2):185-220.
[36]李信富,李小凡.地震波传播的褶积微分算子法数值模拟[J].地球科学:中国地质大学学报,2008,33(6):861-866.