地震正演模拟复杂构造中的地震波传播(英文)
|
摘要
地震正演模拟技术是研究地震波在复杂介质中传播规律的有效途经,尤其在地质构造及其复杂的中国西部地区,其意义更是重大。本文介绍了两种新的正演模拟技术:有限元有限差分方法(FE-FDM)和任意精细积分方法(ADPI),并结合实例分析来验证FE-FDM和ADPI算法的实际效果,结果证明这两种方法能够有效地适用于复杂介质下的地震波传播性质的研究。
Seismic modeling is a useful tool for studying the propagation of seismic waves within complex structures.However,traditional methods of seismic simulation cannot meet the needs for studying seismic wavefields in the complex geological structures found in seismic exploration of the mountainous area in Northwestern China.More powerful techniques of seismic modeling are demanded for this purpose.In this paper,two methods of finite element-finite difference method(FE-FDM)and arbitrary difference precise integration (ADPI)for seismic forward modeling have been developed and implemented to understand the behavior of seismic waves in complex geological subsurface structures and reservoirs. Two case studies show that the FE-FDM and ADPI techniques are well suited to modeling seismic wave propagation in complex geology.
Seismic modeling is a useful tool for studying the propagation of seismic waves within complex structures.However,traditional methods of seismic simulation cannot meet the needs for studying seismic wavefields in the complex geological structures found in seismic exploration of the mountainous area in Northwestern China.More powerful techniques of seismic modeling are demanded for this purpose.In this paper,two methods of finite element-finite difference method(FE-FDM)and arbitrary difference precise integration (ADPI)for seismic forward modeling have been developed and implemented to understand the behavior of seismic waves in complex geological subsurface structures and reservoirs. Two case studies show that the FE-FDM and ADPI techniques are well suited to modeling seismic wave propagation in complex geology.
引文
Alford,R.M.,Kelly,K.R.,and Boore,D.M.,1974,Accuracy of finite-difference modeling of the acousticwave equation:Geophysics,39(6),834–842.
Carcione,J.M.,Herman,G.C.,and ten Kroode,A.P.E.,2002,Seismic modeling:Geophysics,67(4),1304–1325.
Chang,X.,Liu,Y.,Wang,H.,and Li,F.,2002,3-Dtomographic static correction:Geophysics,67(4),1275–1285.
Coates,R.T.,and Schoenberg,M.,1995,Finite-differencemodeling of faults and fractures:Geophysics,60(5),1514–1526.
Collino,F.,and Tsogka,C.,2001,Application of theperfectly matched absorbing layer model to the linearelastodynamic problem in anisotropic heterogeneousmedia:Geophysics,66(1),294–307.
Dong,Y.,and Yang,H.Z.,2001,Solution of 2-d wavereverse-time propagation problem by the?nite element-?nite difference method:Theoretical and ComputationalAcoustics:,World Scienti?c Press,Singapore.
Du,X.,and Bancroft,J.C.,2004,2-D wave equationmodeling and migration by a new finite differencescheme based on the Galerkin method:74th Ann.Internat.Mtg.,Soc.Expl.Geophys.,ExpandedAbstracts.,1107–1110.
Ekren,B.O.,and Ursin,B.,1999,True-amplitudefrequency-wave number constant-offset migration:Geophysics,61(3),915–924.
Hestholm,S.,Moran,M.,Ketcham,S.,Anderson,T.,Dillen,M.,and McMechan,G.,2006,Effects of free-surface topography on moving-seismic-source modeling:Geophysics,71(6),T159–T166.
Komatictsch,D.,and Tromp,J.,2003,A perfectly matchedlayer absorbing boundary condition for the second-orderseismic wave equation:Geophys.J.Int.,124,146-153.
Li,G.F.,and Peng,S.P.,2008,Static corrections forlow S/N ratio converted-wave seismic data:AppliedGeophysics,5(1),44–49.
Li,J.F.,and Zhao,Q.,2006,Figures of seismic physicalmodeling for oil and gas exploration:China PetroleumIndustry Press,Beijing.
Lines,L.R.,Slawinski,R.,and Bording,R.P.,1999,Arecipe for stability of finite-difference wave-equationcomputations:Geophysics,64(3),967–979.
Liu,T.,Hu,T.Y.,and Yang,J.H.,2008,Finite element-?nite difference method in 2-D seismic modeling:70thEAGE Conference,Extended Abstracts,Rome,P054.
Ma,S.,Archuleta,R.J.,and Liu,P.,2004,Hybrid modelingof elastic P-SV wave motion:A combined?nite-elementand staggered-grid finite-difference approach:Bulletinof the Seismological Society of America,94(4),1557–1563.
Marfurt,K.J.,1984,Accuracy of finite-difference andfinite-element modeling of the scalar and elastic waveequations:Geophysics,49(5),533–549.
Moubarak,H.,Bancroft,J.,Lawton,D.,Isaac,H.,Mewhort,L.,Emery,D.,and Scott,B.,2007,A modelingstudy for imaging in structurally complex media:casehistory:77th Ann.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstracts,2002–2005
Oliveira,S.A.M.,2003,A fourth-order finite-differencemethod for the acoustic wave equation on irregular grids:Geophysics,68(2),672–676.
Tang,G.Y.,Hu,T.Y.and Yang,J.H.,2007,Applicationsof a precise integration method in forward seismicmodeling:77th Ann.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstracts,2130–2133.
Tessmer,E.,2000,Seismic?nite-difference modeling withspatially varying time steps:Geophysics,65(4),1290–1293.
Thore,P.,2006,Accuracy and limitation in seismicmodeling of reservoir:76th Ann.Internat.Mtg.,Soc.Expl.Geophys.,ExpandedAbstracts,1674-1677
van der Neut,J.,Sen,M.K.,and Wapenaar,K.,2008,Seismic reflection coefficients of faults at lowfrequencies:a model study:Geophysical Prospecting,56(3),287–292.
van Vossen,R.,and Trampert,J.,2007,Full-waveformstatic correction using blind channel identification:Geophysics,72(4),U55–U66.
Wang,X.C.,and Liu,X.W.,2007,3-D acoustic waveequation forward modeling with topography:AppliedGeophysics,4(1),8–15.
Wang,R.Q.,Jia,X.F.,and Hu,T.Y.,2004,The precisefinite difference method for seismic modeling:AppliedGeophysics,1(2),69–74.
Xu,Y.X.,Xia,J.H.,and Miller,R.D.,2007,Numericalinvestigation of implementation of air-earth boundary byacoustic-elastic boundary approach:Geophysics,72(5),SM147–SM153.
Yoon,K,Marfurt,K.J.,and Starr,W.,2004.Challenges inreverse-time migration:77th Ann.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstracts,1057–1060.
Zhang,J.,and Liu,T.L.,2002,Elastic wave modelingin 3D heterogeneous media:Geophysical JournalInternational,150(3),780–799.
Zhang,W.,and Chen,X.,2006,Traction image methodfor irregular free surface boundaries in?nite differenceseismic wave simulation:Geophysical JournalInternational,167,337–353.
Carcione,J.M.,Herman,G.C.,and ten Kroode,A.P.E.,2002,Seismic modeling:Geophysics,67(4),1304–1325.
Chang,X.,Liu,Y.,Wang,H.,and Li,F.,2002,3-Dtomographic static correction:Geophysics,67(4),1275–1285.
Coates,R.T.,and Schoenberg,M.,1995,Finite-differencemodeling of faults and fractures:Geophysics,60(5),1514–1526.
Collino,F.,and Tsogka,C.,2001,Application of theperfectly matched absorbing layer model to the linearelastodynamic problem in anisotropic heterogeneousmedia:Geophysics,66(1),294–307.
Dong,Y.,and Yang,H.Z.,2001,Solution of 2-d wavereverse-time propagation problem by the?nite element-?nite difference method:Theoretical and ComputationalAcoustics:,World Scienti?c Press,Singapore.
Du,X.,and Bancroft,J.C.,2004,2-D wave equationmodeling and migration by a new finite differencescheme based on the Galerkin method:74th Ann.Internat.Mtg.,Soc.Expl.Geophys.,ExpandedAbstracts.,1107–1110.
Ekren,B.O.,and Ursin,B.,1999,True-amplitudefrequency-wave number constant-offset migration:Geophysics,61(3),915–924.
Hestholm,S.,Moran,M.,Ketcham,S.,Anderson,T.,Dillen,M.,and McMechan,G.,2006,Effects of free-surface topography on moving-seismic-source modeling:Geophysics,71(6),T159–T166.
Komatictsch,D.,and Tromp,J.,2003,A perfectly matchedlayer absorbing boundary condition for the second-orderseismic wave equation:Geophys.J.Int.,124,146-153.
Li,G.F.,and Peng,S.P.,2008,Static corrections forlow S/N ratio converted-wave seismic data:AppliedGeophysics,5(1),44–49.
Li,J.F.,and Zhao,Q.,2006,Figures of seismic physicalmodeling for oil and gas exploration:China PetroleumIndustry Press,Beijing.
Lines,L.R.,Slawinski,R.,and Bording,R.P.,1999,Arecipe for stability of finite-difference wave-equationcomputations:Geophysics,64(3),967–979.
Liu,T.,Hu,T.Y.,and Yang,J.H.,2008,Finite element-?nite difference method in 2-D seismic modeling:70thEAGE Conference,Extended Abstracts,Rome,P054.
Ma,S.,Archuleta,R.J.,and Liu,P.,2004,Hybrid modelingof elastic P-SV wave motion:A combined?nite-elementand staggered-grid finite-difference approach:Bulletinof the Seismological Society of America,94(4),1557–1563.
Marfurt,K.J.,1984,Accuracy of finite-difference andfinite-element modeling of the scalar and elastic waveequations:Geophysics,49(5),533–549.
Moubarak,H.,Bancroft,J.,Lawton,D.,Isaac,H.,Mewhort,L.,Emery,D.,and Scott,B.,2007,A modelingstudy for imaging in structurally complex media:casehistory:77th Ann.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstracts,2002–2005
Oliveira,S.A.M.,2003,A fourth-order finite-differencemethod for the acoustic wave equation on irregular grids:Geophysics,68(2),672–676.
Tang,G.Y.,Hu,T.Y.and Yang,J.H.,2007,Applicationsof a precise integration method in forward seismicmodeling:77th Ann.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstracts,2130–2133.
Tessmer,E.,2000,Seismic?nite-difference modeling withspatially varying time steps:Geophysics,65(4),1290–1293.
Thore,P.,2006,Accuracy and limitation in seismicmodeling of reservoir:76th Ann.Internat.Mtg.,Soc.Expl.Geophys.,ExpandedAbstracts,1674-1677
van der Neut,J.,Sen,M.K.,and Wapenaar,K.,2008,Seismic reflection coefficients of faults at lowfrequencies:a model study:Geophysical Prospecting,56(3),287–292.
van Vossen,R.,and Trampert,J.,2007,Full-waveformstatic correction using blind channel identification:Geophysics,72(4),U55–U66.
Wang,X.C.,and Liu,X.W.,2007,3-D acoustic waveequation forward modeling with topography:AppliedGeophysics,4(1),8–15.
Wang,R.Q.,Jia,X.F.,and Hu,T.Y.,2004,The precisefinite difference method for seismic modeling:AppliedGeophysics,1(2),69–74.
Xu,Y.X.,Xia,J.H.,and Miller,R.D.,2007,Numericalinvestigation of implementation of air-earth boundary byacoustic-elastic boundary approach:Geophysics,72(5),SM147–SM153.
Yoon,K,Marfurt,K.J.,and Starr,W.,2004.Challenges inreverse-time migration:77th Ann.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstracts,1057–1060.
Zhang,J.,and Liu,T.L.,2002,Elastic wave modelingin 3D heterogeneous media:Geophysical JournalInternational,150(3),780–799.
Zhang,W.,and Chen,X.,2006,Traction image methodfor irregular free surface boundaries in?nite differenceseismic wave simulation:Geophysical JournalInternational,167,337–353.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心