地震波非线性反演方法研究综述
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摘要
地震波非线性反演方法研究跟正演模拟方法研究一样,是地球物理学中一个非常重要的研究领域,其进展对人们正确认识和了解地球内部的细节及物性具有重大意义,对地球动力学的研究也具有不可忽视的推动作用。对地震波非线性反演问题理论研究的进展作了评述;在简单回顾非线性反演方法发展历史的基础上,总结了近年来常见的非线性反演方法研究的最新进展情况,对非线性反演中存在的各种问题进行了比较和评述,同时指出了目前非线性反演方法存在的问题,并对今后发展的方向作了简要展望。
In this paper,the author firstly provides a brief review of the progress of theory wave-field inversion from two aspects,namely,theory and method of the nonlinear inversion problem.On the bases of a brief historical retrospect of the nonlinear inversion problem.On the basis of a brief historical retrospect of the nonlinear inversion method in recent years,the author concludes the newest advances in the familiar nonlinear inversion method research,makes some comparisons and comments on some problems consisting in the nonlinear inversion method,at the same time points out some problems existing in the nonlinear inversion method at present,and at the end gives some expectations for new advancing direction of the nonlinear inversion theory.
In this paper,the author firstly provides a brief review of the progress of theory wave-field inversion from two aspects,namely,theory and method of the nonlinear inversion problem.On the bases of a brief historical retrospect of the nonlinear inversion problem.On the basis of a brief historical retrospect of the nonlinear inversion method in recent years,the author concludes the newest advances in the familiar nonlinear inversion method research,makes some comparisons and comments on some problems consisting in the nonlinear inversion method,at the same time points out some problems existing in the nonlinear inversion method at present,and at the end gives some expectations for new advancing direction of the nonlinear inversion theory.
引文
[1]杨文采.地球物理反演的理论与方法.[M].北京:地质出版社,1997
[2]P ratt,R.G.,Changsoo sh in,H icks,G.J.G auss-N ew ton and fu ll N ew ton m ethod in frequency-spacese ism ic w aveform invers ion[J].G eophys.J.In t.,1998,(133):341-362
[3]T aran to la,A.Invers ion of se ism ic reflection data inthe acoustic approx im ation[J].G eophys ics,1984,(49):1259-1266
[4]G ubernatis J E.T he Born approx im ation in theory ofthe scattering of e lastic w aves by flaw s[J].J.A pp l.Phys.,1977,48(7):2812-2819
[5]R ubram an iam D R,G eorge V F.A com parisonbetw een the Born and R ytov approx im ation for the i-nverse backscattering prob lem[J].G eophys ics,1989,(54):864-871
[6]B ackus G E,G ilbert J F.N um erica l app lication of aform u lism for geophys ica l inverse[J].G eophys.J.R.astr.1967,(13):247-276
[7]B ackus G E,G ilbert J F.T he reso lv ing pow er of grossearth data[J].G eophys.J.R.astr.1968,(16):169-205
[8]B ackus G E.,G ilbert J F.U n iqueness in the invers ionof inaccurate gross earth data[J].Ph il.T rans R oy,1970,(A 266):123-192
[9]B ey lk in,G..T he inverse prob lem s and app lications ofgenera lized R adon transform[J].Comm on Pure andA pp lied.M ath,1984,(37):579-599
[10]B ey lk in,G..Im ag ing of d iscon tinu ities in the inversescattering prob lem by invers ion of a casua l genera lizedR adon transform[J].J.M ath.Phys.,1985,(26):99-
[11]D ean V B,M ichae l M M.T em pora l in form ationtransform ed in to a spatia l code by N eura l N etw orkw ith rea listic properties[J].Sc ience,1995,267(17):1028-1031
[12]Ja im e R am os-M artinez,G eorge A.M cM echan.Fu llw avefie ld invers ion to estim ate im pact-sourceorien tation from m u lticom ponen t land se ism ic data[J].G eophys ics,2002,(67):562-572
[13]S.C.S ingh,G.F.W est,N.D.B regm an.Fu ll w aveforminvers ion of reflection data[J].Journa l of G eophys ica lR esearch,1989,(94):1777-1794
[14]Szu H,H artly R.F ast s im u lated annea ling[J].Phys icsL etter A,1987,122(3):157-162
[15]K irkpatrick S,G e latt Jr C D,et a l.O ptim ization bys im u lated annea ling[J].Sc ience,1983,220(4598):671-680
[16]Ingber L.G enetic a lgorithm s and very fast s im u latedreannea ling:a com parison[J].M ath Com pu t.M ode ling,1992,16(3):87-100
[17]Sam bridge M S.G eophys ica l invers ion w ith ane ighborhood a lgorithm-Ⅰ.Search ing a param eterspace[J].G eophys.J.In t.,1999,(138):479-494
[18]Sam bridge M S.G eophys ica l invers ion w ith ane ighborhood a lgorithm-Ⅱ.A ppra is ing the ensem b le[J].G eophys.J.In t.,1999,(138):727-746
[19]D jurd je C,Jacek K.T aboo search:an approach to them u ltip le m in im a prob lem[J].Sc ience,1995,267(3):664-671
[20]P ica,A.,D iet,J.P.,T aran to la,A.N on linear invers ionof se ism ic reflection data in a latera lly invarian t m ed-ium[J].G eophys ics,1990,(55):284-292
[21]C rase,E.,P ica,A.,N ob le,M.,et a l.R obust e lasticnon linear w aveform invers ion:A pp lication to rea l data[J].G eophys ics,1990,(55):527-538
[22]Pan,G.S.,Ph inny,R.A.,O dom,R.I.Fu ll-w aveforminvers ion of p lane w ave se ism ogram in stratifiedacoustic m ed ia,T heory and feas ib ility[J].G eophys ics,1988,(56):664-674
[23]Zhao,H.,U rs in,B.,Am undsen,L.F requency-w avenum ber e lastic invers ion of m arine se ism ic data[J].G eophys ics,1994,(59):1868-1881
[24]K o lb,P.,Co llion,F.,L a illy,P.P re-stack invers ion ofa 1-D m ed ium[J].P roc.IEEE,1986,(74):498-508
[25]L am bar,éG.,V irieux,J.,M adariaga,G.A.Iterativeasym ptotic invers ion in the acoustic approx im ation[J].G eophys ics,1991,(57):1138-1154
[26]F.K orm end i,M.D ietrich.N on linear w aveform inv-ers ion of p lane-w ave se ism ogram s in stratified e lasticm ed ia[J].G eophys ics,1991,(56):664-674
[27]Peter M ora.N on linear tw o-d im ens iona l e lastic inv-ers ion of m u ltioffset se ism ic data[J].G eophys ics,1987,(52):1211-1228
[28]Peter M ora.E lastic w avefie ld invers ion of reflectionand transm iss ion data[J].G eophys ics,1988,(53):750-759
[29]N orton,S.J.Iterative se ism ic invers ion[J].G eophys.J.In t.,1988,(94):457-468
[30]杨晓春.地震波散射非线性反演的不动点理论研究[R].中科院地质与地球物理研究所,2002
[31]张新兵,王家林,吴健生.混合最优化算法在地球物理学中的应用现状与前景[J].地球物理学进展,2003,18(2):218-223
[32]张霖斌,姚振兴.层状介质参数反演的混合最优化法[J].地球物理进展,2000,18(2):218-223
[33]刘鹏程,纪晨.S tephen H.H artze ll.改进的模拟退火单纯形综合反演方法[J].地球物理学报,1995,38(2):119-205
[34]纪晨,姚振兴.用于地球物理反演的均匀设计优化算法[J].地球物理学报,1996,39(2):233-242
[35]艾印双,刘鹏程,郑天愉.自适应全局混合反演[J].中国科学(D辑),1998,28(2):105-110
[36]朱培民,王家映,詹正彬,等.随机共轭梯度反演法[J].石油地球物理勘探,2000,35(2):208-213
[37]R aghu K.Chunduru,M rina l K.Sen,and Pau l L.S to-ffa.Hybrid optim ization m ethods for geophys ica l inv-ers ion[J].G eophys ics,1997,(62):1196-1207
[38]钟守楠,高飞,纪昌明.遗传信赖域方法[J].数学杂志,2001,(21):468-472
[39]杨文采.评地球物理反演的发展趋向[J].地学前缘,2002,9(4):389-396
[2]P ratt,R.G.,Changsoo sh in,H icks,G.J.G auss-N ew ton and fu ll N ew ton m ethod in frequency-spacese ism ic w aveform invers ion[J].G eophys.J.In t.,1998,(133):341-362
[3]T aran to la,A.Invers ion of se ism ic reflection data inthe acoustic approx im ation[J].G eophys ics,1984,(49):1259-1266
[4]G ubernatis J E.T he Born approx im ation in theory ofthe scattering of e lastic w aves by flaw s[J].J.A pp l.Phys.,1977,48(7):2812-2819
[5]R ubram an iam D R,G eorge V F.A com parisonbetw een the Born and R ytov approx im ation for the i-nverse backscattering prob lem[J].G eophys ics,1989,(54):864-871
[6]B ackus G E,G ilbert J F.N um erica l app lication of aform u lism for geophys ica l inverse[J].G eophys.J.R.astr.1967,(13):247-276
[7]B ackus G E,G ilbert J F.T he reso lv ing pow er of grossearth data[J].G eophys.J.R.astr.1968,(16):169-205
[8]B ackus G E.,G ilbert J F.U n iqueness in the invers ionof inaccurate gross earth data[J].Ph il.T rans R oy,1970,(A 266):123-192
[9]B ey lk in,G..T he inverse prob lem s and app lications ofgenera lized R adon transform[J].Comm on Pure andA pp lied.M ath,1984,(37):579-599
[10]B ey lk in,G..Im ag ing of d iscon tinu ities in the inversescattering prob lem by invers ion of a casua l genera lizedR adon transform[J].J.M ath.Phys.,1985,(26):99-
[11]D ean V B,M ichae l M M.T em pora l in form ationtransform ed in to a spatia l code by N eura l N etw orkw ith rea listic properties[J].Sc ience,1995,267(17):1028-1031
[12]Ja im e R am os-M artinez,G eorge A.M cM echan.Fu llw avefie ld invers ion to estim ate im pact-sourceorien tation from m u lticom ponen t land se ism ic data[J].G eophys ics,2002,(67):562-572
[13]S.C.S ingh,G.F.W est,N.D.B regm an.Fu ll w aveforminvers ion of reflection data[J].Journa l of G eophys ica lR esearch,1989,(94):1777-1794
[14]Szu H,H artly R.F ast s im u lated annea ling[J].Phys icsL etter A,1987,122(3):157-162
[15]K irkpatrick S,G e latt Jr C D,et a l.O ptim ization bys im u lated annea ling[J].Sc ience,1983,220(4598):671-680
[16]Ingber L.G enetic a lgorithm s and very fast s im u latedreannea ling:a com parison[J].M ath Com pu t.M ode ling,1992,16(3):87-100
[17]Sam bridge M S.G eophys ica l invers ion w ith ane ighborhood a lgorithm-Ⅰ.Search ing a param eterspace[J].G eophys.J.In t.,1999,(138):479-494
[18]Sam bridge M S.G eophys ica l invers ion w ith ane ighborhood a lgorithm-Ⅱ.A ppra is ing the ensem b le[J].G eophys.J.In t.,1999,(138):727-746
[19]D jurd je C,Jacek K.T aboo search:an approach to them u ltip le m in im a prob lem[J].Sc ience,1995,267(3):664-671
[20]P ica,A.,D iet,J.P.,T aran to la,A.N on linear invers ionof se ism ic reflection data in a latera lly invarian t m ed-ium[J].G eophys ics,1990,(55):284-292
[21]C rase,E.,P ica,A.,N ob le,M.,et a l.R obust e lasticnon linear w aveform invers ion:A pp lication to rea l data[J].G eophys ics,1990,(55):527-538
[22]Pan,G.S.,Ph inny,R.A.,O dom,R.I.Fu ll-w aveforminvers ion of p lane w ave se ism ogram in stratifiedacoustic m ed ia,T heory and feas ib ility[J].G eophys ics,1988,(56):664-674
[23]Zhao,H.,U rs in,B.,Am undsen,L.F requency-w avenum ber e lastic invers ion of m arine se ism ic data[J].G eophys ics,1994,(59):1868-1881
[24]K o lb,P.,Co llion,F.,L a illy,P.P re-stack invers ion ofa 1-D m ed ium[J].P roc.IEEE,1986,(74):498-508
[25]L am bar,éG.,V irieux,J.,M adariaga,G.A.Iterativeasym ptotic invers ion in the acoustic approx im ation[J].G eophys ics,1991,(57):1138-1154
[26]F.K orm end i,M.D ietrich.N on linear w aveform inv-ers ion of p lane-w ave se ism ogram s in stratified e lasticm ed ia[J].G eophys ics,1991,(56):664-674
[27]Peter M ora.N on linear tw o-d im ens iona l e lastic inv-ers ion of m u ltioffset se ism ic data[J].G eophys ics,1987,(52):1211-1228
[28]Peter M ora.E lastic w avefie ld invers ion of reflectionand transm iss ion data[J].G eophys ics,1988,(53):750-759
[29]N orton,S.J.Iterative se ism ic invers ion[J].G eophys.J.In t.,1988,(94):457-468
[30]杨晓春.地震波散射非线性反演的不动点理论研究[R].中科院地质与地球物理研究所,2002
[31]张新兵,王家林,吴健生.混合最优化算法在地球物理学中的应用现状与前景[J].地球物理学进展,2003,18(2):218-223
[32]张霖斌,姚振兴.层状介质参数反演的混合最优化法[J].地球物理进展,2000,18(2):218-223
[33]刘鹏程,纪晨.S tephen H.H artze ll.改进的模拟退火单纯形综合反演方法[J].地球物理学报,1995,38(2):119-205
[34]纪晨,姚振兴.用于地球物理反演的均匀设计优化算法[J].地球物理学报,1996,39(2):233-242
[35]艾印双,刘鹏程,郑天愉.自适应全局混合反演[J].中国科学(D辑),1998,28(2):105-110
[36]朱培民,王家映,詹正彬,等.随机共轭梯度反演法[J].石油地球物理勘探,2000,35(2):208-213
[37]R aghu K.Chunduru,M rina l K.Sen,and Pau l L.S to-ffa.Hybrid optim ization m ethods for geophys ica l inv-ers ion[J].G eophys ics,1997,(62):1196-1207
[38]钟守楠,高飞,纪昌明.遗传信赖域方法[J].数学杂志,2001,(21):468-472
[39]杨文采.评地球物理反演的发展趋向[J].地学前缘,2002,9(4):389-396
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