地震波有限差分数值模拟框架下的起伏地表处理方法综述
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摘要
本文查阅了近30年来国内外关于有限差分方法模拟近地表复杂介质方面的文献,分析了在有限差分法框架下复杂地表地形起伏问题的处理及实现方法.总结了地震波有限差分数值模拟方面的成果.复杂地表类型很多,对地震资料的影响程度也不尽相同,要想完全描述近地表影响因素是不可能的,而关键的问题就是自由边界条件方程的处理.所有处理及实现方法中不外两种:直接法(局部)和间接(全局)法.文中列出的方法,各有特点.我们的目的是寻找合适的方法解决适合的问题.
As a tool for understanding the regulation f wave propagation in complex media and examining the effects of different kinds of methods,seismic numerical modeling plays an important role in modern geophysical prospecting.This paper briefly introduced several modeling methods including surface topography with finite-difference in recent 30 years.Two implementation methods are proposed: derect method which includes rotated coordinate method,vacuum method and general imaging method and indirect method.Our aim is to find the suitable method to solve the adapted questions.
As a tool for understanding the regulation f wave propagation in complex media and examining the effects of different kinds of methods,seismic numerical modeling plays an important role in modern geophysical prospecting.This paper briefly introduced several modeling methods including surface topography with finite-difference in recent 30 years.Two implementation methods are proposed: derect method which includes rotated coordinate method,vacuum method and general imaging method and indirect method.Our aim is to find the suitable method to solve the adapted questions.
引文
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[15]裴正林,牟永光.地震波传播数值模拟[J].地球物理学进展,2004,19(4):933~941.Pei Z L,Mu Y G.Numerical simulation of seismic wave prop-agation[J].Progress in Geophysics,2004,19(4):933~941.
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[17]Boore M D,Harmsen C S,Harding T S.Wave scatteringfrom a step change in surface topography[J].Bull.Seis.Soc.Am.,1981,71(1):117~125.
[18]Ashford S A,Stitar N.Analysis of topography amplificationof inclined shear waves in a steep coastal bluff[J].Bull.Seis.Soc.Am.,1997,87(3):692~700.
[19]Ashford S A,Stitar N,Lysmer J,Deng N.Topographiceffects on the seismic response of steep slopes[J].Bulletin ofthe Seismological Society of American,1997,87(3):701~709.
[20]Parnell W.Elastic wave scattering from a strained region,Somerville College University of Oxford[M].Mseter thesisof science,2000.
[21]Yuan X J.Finite Difference Time Domain Modeling of A-coustic and Elertromagentic Wave Scattering[M].The Uni-versity of Utah,Dctoral Thesis,1997.
[22]黄新武,孙春岩,牛滨华,王焕弟,曾闽山.基于数据一致性预测与压制自由表面多次波?理论研究与试处理[J].地球物理学报,2005,48(1):173~180.Huang X W,Sun C Y,Niu B H,Wang H D,Zeng M S.Surface-related multiple prediction and suppression based ondata-consistence:A theoretical study and test[J].ChineseJ.Geophys.(in Chinese),2005,48(1):173~180.
[23]董俊,赵成刚.三维半球形凹陷饱和土场地对平面P波散射问题的解析解[J].地球物理学报,2005,48(3):680~688.Dong J,Zhao C G.An analytic solution for the diffraction ofplane P-wave by three-dimensional hemispherical canyons in afluid-saturated porous media half space[J].Chinese J.Geo-phys.(in Chinese),2005,48(3):680~688.
[24]苑春方,彭苏萍,杨良梁.水平界面上P-SV转换波转换点的精确解[J].地球物理学报,2005,48(5):1179~1184.Yuan C F,Peng S P,Yang L L.An exact solution of the co-ordinate equation of the conversion point for P-SV convertedwaves at a horizontal reflector[J].Chinese J.Geophys.(inChinese),2005,48(5):1179~1184.
[25]董俊,赵成刚.半球形凹陷饱和土场地对入射平面SV波三维散射问题的解析解[J].地球物理学报,2005,48(6):1412~1421.Dong J,Zhao C G.An analytic solution for the three-dimen-sional diffraction of plane SV-waves by hemispherical canyonsin a fluid-saturated porous medium half space[J].Chinese J.Geophys.(in Chinese),2005,48(6):1412~1421.
[26]Shen S P,Kuang Z B.Wave scattering from an interfacecrack in laminated anisotropic media[J].MechanicsRwsearch Cummuncations,1998,25(5):509~517.
[27]Mskeon J C P,Hinders M K.Lamb wave scattering from athrough hole[J].Journal of Sound and Vibration,1990,24(5):843~862.
[28]Widess M B.Effect of surface topography on seismic mapping[J].Geophysics,1945,362~372.
[29]Levander A R.Fourth-order finite-difference P-SV seismo-grams[J].Geophysics 1988,53(11):1425~1436.
[30]Fornberg B.The pseudostral method:Accurate representa-tion of interfaces in elastic wave calculations[J].Geophysics,1988,53(5):625~637.
[31]Kosloff D,Reshef S,Loewenthal D.Elastic wave calculationsby the fourier method[J].Bull.Seism.Soc.Am.,1984,74(3):875~891.
[32]Kelly K R,Ward R W,Treitel S,Alford R M.Synthetic seis-mograms:a finite-difference approach[J].Geophysics,1946,41,(1):2~27.
[33]Alford R M,Kelly K R,Boore D M.Accuracy of finite-differ-ence modeling of the acoustic wave equation[J].Geophysics,1974,39,(6):834~842.
[34]Zhang J F,Liu T L.Elastic wave modeling in 3D heterogene-ous media:3D grid method[J].Geophs.J.Int.,2002,150:780~799.
[35]王德利,何樵登,韩立国.裂隙型单斜介质中多方位地面三分量记录模拟[J].地球物理学报,2005,48(2):386~393.Wang D L,He Q D,Han L G.Multi-azimuth three-compo-nent surface seismic modeling for cracked monoclinic media[J].Chinese J.Geophys.(in Chinese),2005,48(2):386~393.
[36]符力云,牟永光,弹性波边界元法正演模拟[J].地球物理学报,1994,37(4):521~529.
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