地震反演与非线性随机优化方法
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摘要
地震反演问题常常需要一些非线性全局最优化的方法。近年来 ,基于生物学、物理学、人工智能和一些非线性科学而发展了一些具有全局优化性能且通用性强的随机搜索算法 ,如 :遗传算法、模拟退火、禁忌搜索和混沌搜索等。作者主要针对地震勘探反演问题的应用综述了这四种非线性随机优化方法的原理和特点 ,并对它们的性能作了一定的分析和比较。
Seismic inversion problems must be solved by non linear global optimization methods. In recent years, some non linear stochastic optimistic algorithms are developed by biology, physics, artificial intelligence and nonlinear science, such as Genetic algorithm, Simulated annealing, Tabu searching and Chaos searching et al. In this paper, the principles and characteristics of four stochastic optimistic algorithms are summarized, and their performances are analyzed and compared on the applications of seismic inversion problems.
Seismic inversion problems must be solved by non linear global optimization methods. In recent years, some non linear stochastic optimistic algorithms are developed by biology, physics, artificial intelligence and nonlinear science, such as Genetic algorithm, Simulated annealing, Tabu searching and Chaos searching et al. In this paper, the principles and characteristics of four stochastic optimistic algorithms are summarized, and their performances are analyzed and compared on the applications of seismic inversion problems.
引文
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[2 ] Kirkpartick S,Gelatt C D,Vecchi M P. Optimization by sim ulated annealing[J] . Science,1983,2 2 0 :6 71.
[3] Glover F . Tabu search-Part I[J] . ORSA J. On Computing.1989,1(2 ) :190 .
[4] 李兵 ,蒋慰孙 .混沌优化方法及其应用 [J] .控制理论与应用 .1997,14 (4) :6 13.
[5 ] Tarantola A,张行康 ,译 .反演理论 ,数据拟合和模型参数估算方法 [M] .北京 :学术书刊出版社 ,1989.
[6 ] Sen M K,Stoffa P L . Nonlinear one-dimensional seismic waveform inversion using simulated annealing[J] . Geophysics,1991,5 6(10 ) :16 2 4.
[7] Stoffa P L,Sen M K.Nonlinear m ultiparam eter optimization using genetic algorithm:inversion of plane-wave seismograms[J] .Geo-physics,1991,5 6 (11) :1794.
[8] L azear G D.Mixed-phase wavelet estimation using fourth-order cumulates[J] .Geophysics,1993,5 8(7) :10 42 .
[9] Mallick S. Model-based inversion of amplitude variation with offset data using a genetic algorithm[J] . Geophysics,1995 ,6 0 (4) :939.
[10 ] Rothman D. H. Nonlinear inversion,statistical m echanics,and residual static estimation[J] . Geophysics,1985 ,5 0 (12 ) :2 784.
[11] 尹成 ,周熙襄 ,钟本善 ,等 .综合的并行搜索策略及其在剩余静校正中的应用 [J] .成都理工学院学报 ,1997,2 4(2 ) :75 .
[12 ] 尹成 ,周熙襄 ,钟本善 ,等 .热槽法模拟退火机理分析及其改进 [J] .石油物探 ,1998,37(1) :6 3.
[13] 尹成 ,唐斌 ,谢桂生 ,等 .基于综合的混沌优化算法的地震子波估计 [C] .中国地球物理学会第十六届年会论文 .武汉 :中国地质大学出版社 ,2 0 0 0 .
[14 ] 尹成 ,周熙襄 ,钟本善 ,等 .一种改进的遗传算法及其在剩余静校正中的应用 [J] .石油地球物理勘探 ,1997,32 (4) :486 .
[15 ] 刘勇 ,康立山 ,陈毓屏 .非数值并行算法——模拟退火算法 [M] .北京 :科学出版社 ,1995 .
[16 ] 张文生 ,何樵登 ,吴飞 .用遗传算法反演各向异性介质弹性参数 [J] .物探化探计算技术 ,1998,2 0 (4) :2 93.
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