应用Kirchhoff-Helmholtz积分方法对深度震相的合成
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摘要
将Kirchhoff-Helmholtz积分方法应用于合成震源发生在地表之下的深度震相的地震图计算中,计算多次反射震相时与反射率方法进行了比较,表明KH积分方法能很好的模拟反射波震相,精度较高,且KH积分方法能够计算复杂界面的反射波,其计算效率明显大于有限差分。
The paper applies Kirchhoff-Helmhltz integral method in the calculation of the seismic map of the teleseismic depth phase when the seismic origin is under the ground,compares many reflection seismic phases and reflectivity methods,proves KH integral method has better simulation of the reflection-wave phase with higher accuracy,so it can be used to calculate the reflection wave at complicated interface and its calculation efficiency is higher than the finite difference.
The paper applies Kirchhoff-Helmhltz integral method in the calculation of the seismic map of the teleseismic depth phase when the seismic origin is under the ground,compares many reflection seismic phases and reflectivity methods,proves KH integral method has better simulation of the reflection-wave phase with higher accuracy,so it can be used to calculate the reflection wave at complicated interface and its calculation efficiency is higher than the finite difference.
引文
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[5]Frazer L.N,Sen M.K.Kirchhoff-Helmholtz reflection seismograms in a laterally inhomogeneous multi-layered elastic medium-Ⅰ.Theory[J].Geophys.J.R.astr.Soc,1985(80):121-147.
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[9]李红光.横向不均匀介质中Kirchhoff-Helmholtz积分合成地震图[J].地球物理学进展,2008,23(4):1131-1137.
[2]Alterman Z.S,Karal F.C.Propagation of elastic waves in layered media by finite difference methods[J].Bull.Seismol.Soc.Am,1968(58):367-398.
[3]Smith W.D.The application of finite element analysis to bodywave propagation problems[J].Geophys.J.R.Astr.Soc,1975(42):747-768.
[4]Wu R.S.The Perturbation Method in Elastic Wave Scattering[J].Pure.Appl.Geophy,1989(131):605-637.
[5]Frazer L.N,Sen M.K.Kirchhoff-Helmholtz reflection seismograms in a laterally inhomogeneous multi-layered elastic medium-Ⅰ.Theory[J].Geophys.J.R.astr.Soc,1985(80):121-147.
[6]Cerveny.V.Synthetic body wave seismograms for laterally varying layered structures by Gaussian beam method[J].Geophy.J.R.astr.Soc,1983(73):389-426.
[7]Chapman.C.H,Drumnood.R.Body wave seimograms in inhomogeneous media using Maslov asymptotic theory[J].Bull.Seismol.Soc.Am,1982,72(6):11-12.
[8]Baag.C.E,Langston.C.A.A WKBJ spectral method for computation of SV synthetic seismograms in a cylindrically symmetric medium[J].Geophy.J.R.astr.Soc,1985,80(2):387-417.
[9]李红光.横向不均匀介质中Kirchhoff-Helmholtz积分合成地震图[J].地球物理学进展,2008,23(4):1131-1137.
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