地球物理资料非线性反演方法讲座(十)——粒子群反演方法
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摘要
绝大多数地球物理反演问题是非线性问题。近年来,非线性反演方法的研究和应用,都有了一定的进展,涌现了许多新的反演方法,引起了人们的重视。本讲座类比遗传算法和模拟退火等智能随机非线性反演方法寻优思想之后,在前人工作的基础上,详细地介绍了我们首次在地球物理资料反演中付诸实现的一种新的非线性反演方法——粒子群反演算法。文中以地震波阻抗数值模拟和实际资料为例,说明了该方法的可行性及有效性。
Most of inverse problems in geophysics are related to non-linear.Both the study and application for Non-linear inverse methods made important progress in recent years.Based on the understanding of genetic algorithm(GA) and simulated annealing(SA),we introduce and carry out a new non-linear inverse method-Particle Swarm Optimization(PSO).The results show its feasibility and effectiveness.
Most of inverse problems in geophysics are related to non-linear.Both the study and application for Non-linear inverse methods made important progress in recent years.Based on the understanding of genetic algorithm(GA) and simulated annealing(SA),we introduce and carry out a new non-linear inverse method-Particle Swarm Optimization(PSO).The results show its feasibility and effectiveness.
引文
[1]Backus G E,Gilbert E.Numerical applications of aformalism for geophysical inverse problems[J].Geo-phys.J.R.Astron.Soc.,1967,13(1):247~267.
[2]Jackson D D.Interpretation of inaccurate,insuffi-cient and inconsistent data[J].Geophys.J.R.astrSoc.,1972,28:97~109.
[3]Parker R L.Understanding inverse theory[J].Ann.Rev.Earth.Plan.Phys.,1977,5(1):35~64.
[4]Tikhonov A V,Arsenin V Y.Solution of ill-posedproblems[M].New York:Wiley,1977.
[5]Oldenburg D W.Funnel functions in linear and non-linear appraisal[J].J.Geophys.Res.,1983,88:7387~7398.
[6]Tarantola A.Inverse problem theory:methods fordata fitting and model parameter estimation[M],New York:Elsevier Science Publishing CompanyInc.,1987.
[7]栾文贵.地球物理中的反问题[M].北京:科学出版社,1989.
[8]杨文采.地球物理反演的理论与方法[M].北京:地质出版社,1997.
[9]王家映.地球物理反演理论[M].北京:高等教育出版社,2002.
[10]李世雄,刘家琦.小波变换和反演数学基础[M].北京:地质出版社,1994.
[11]Kenendy J,Eberhart R C.Particle Swarm Optimi-zation[C].Proceeding of IEEE,International Con-ference on Neural Networks.Piscataway.NJ:IEEE Press,1995,1942~1948.
[12]易远元,袁三一,黄凯,等.地震波阻抗反演的粒子群算法实现[J].石油天然气学报,2007,29(3):79~81.
[13]袁三一,陈小宏.一种新的地震子波提取与层速度反演方法[J].地球物理学进展,2008,23(1):198~205.
[14]王家映,地球物理资料非线性反演方法讲座(一)地球物理反演问题概述[J].工程地球物理学报,2007,4(1):1~3.
[15]王家映,地球物理资料非线性反演方法讲座(二)蒙特卡洛法[J].工程地球物理学报,2007,4(2):81~85.
[16]师学明,王家映.地球物理资料非线性反演方法讲座(三)模拟退火反演法[J].工程地球物理学报,2007,4(3):165~174.
[17]师学明,王家映.地球物理资料非线性反演分析讲座(四)遗传算法[J].工程地球物理学报,2008,5(2):129~140.
[18]Sen M K,Stoffa P L.Nonlinear one-dimensionalseismic waveform inversion using simulated annea-ling[J].Geophysics,1991,56:1624~1638.
[19]Stoffa P L and Sen M K.Non-linear multiparame-ter optimization using genetic algorithm:Inversionof plane-wave seismograms[J].Geophysics,1991,56:1794~1810.
[2]Jackson D D.Interpretation of inaccurate,insuffi-cient and inconsistent data[J].Geophys.J.R.astrSoc.,1972,28:97~109.
[3]Parker R L.Understanding inverse theory[J].Ann.Rev.Earth.Plan.Phys.,1977,5(1):35~64.
[4]Tikhonov A V,Arsenin V Y.Solution of ill-posedproblems[M].New York:Wiley,1977.
[5]Oldenburg D W.Funnel functions in linear and non-linear appraisal[J].J.Geophys.Res.,1983,88:7387~7398.
[6]Tarantola A.Inverse problem theory:methods fordata fitting and model parameter estimation[M],New York:Elsevier Science Publishing CompanyInc.,1987.
[7]栾文贵.地球物理中的反问题[M].北京:科学出版社,1989.
[8]杨文采.地球物理反演的理论与方法[M].北京:地质出版社,1997.
[9]王家映.地球物理反演理论[M].北京:高等教育出版社,2002.
[10]李世雄,刘家琦.小波变换和反演数学基础[M].北京:地质出版社,1994.
[11]Kenendy J,Eberhart R C.Particle Swarm Optimi-zation[C].Proceeding of IEEE,International Con-ference on Neural Networks.Piscataway.NJ:IEEE Press,1995,1942~1948.
[12]易远元,袁三一,黄凯,等.地震波阻抗反演的粒子群算法实现[J].石油天然气学报,2007,29(3):79~81.
[13]袁三一,陈小宏.一种新的地震子波提取与层速度反演方法[J].地球物理学进展,2008,23(1):198~205.
[14]王家映,地球物理资料非线性反演方法讲座(一)地球物理反演问题概述[J].工程地球物理学报,2007,4(1):1~3.
[15]王家映,地球物理资料非线性反演方法讲座(二)蒙特卡洛法[J].工程地球物理学报,2007,4(2):81~85.
[16]师学明,王家映.地球物理资料非线性反演方法讲座(三)模拟退火反演法[J].工程地球物理学报,2007,4(3):165~174.
[17]师学明,王家映.地球物理资料非线性反演分析讲座(四)遗传算法[J].工程地球物理学报,2008,5(2):129~140.
[18]Sen M K,Stoffa P L.Nonlinear one-dimensionalseismic waveform inversion using simulated annea-ling[J].Geophysics,1991,56:1624~1638.
[19]Stoffa P L and Sen M K.Non-linear multiparame-ter optimization using genetic algorithm:Inversionof plane-wave seismograms[J].Geophysics,1991,56:1794~1810.
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