基于自回归滑动平均模型和粒子群算法的地震子波提取
|
摘要
基于自回归滑动平均(ARMA)模型理论,对地震子波进行参数化建模,采用累积量拟合法精确估计参数,使地震子波提取问题最终归结为一个多参数、多极值的非线性函数优化问题。对基本粒子群算法进行改进,通过自适应参数调整和边界约束,克服基本粒子群算法易陷入局部极值的缺陷,同时提高算法寻优精度和计算效率。仿真数据试验结果验证了改进的粒子群算法在地震子波提取方法中的有效性和稳定性。
A seismic wavelet parametric model was developed based on auto-regressive and moving average(ARMA) model theory.The model parameters were accurately determined based on cumulant fitting method.So the seismic wavelet can be a multi-parameters,multi-extremes nonlinear functional optimization problem.An improved particle swarm optimization with adaptive parameters and boundary constraints was proposed for the local extreme value defects of elementary particle swarm optimization.The optimization accuracy and computation efficiency are also improved.Simulation results show that the method has good applicability and stability in seismic wavelet extraction.
A seismic wavelet parametric model was developed based on auto-regressive and moving average(ARMA) model theory.The model parameters were accurately determined based on cumulant fitting method.So the seismic wavelet can be a multi-parameters,multi-extremes nonlinear functional optimization problem.An improved particle swarm optimization with adaptive parameters and boundary constraints was proposed for the local extreme value defects of elementary particle swarm optimization.The optimization accuracy and computation efficiency are also improved.Simulation results show that the method has good applicability and stability in seismic wavelet extraction.
引文
[1]ROBINSON E A,TREITEL Sven.Geophysical signal a-nalysis[M].Englewood Cliffs:Prentice-Hall,1980.
[2]LAZEAR G D.Mixed-phase wavelet estimation using fourth-order cumulant[J].Geophysics,1993,58:1042-1051.
[3]师学明,王家映,易远元,等.一种新的地球物理反演方法——模拟原子跃迁反演法[J].地球物理学报,2007,50(1):305-312.SHI Xue-ming,WANG Jia-ying,YI Yuan-yuan,et al.Astudy on the simulated atomic transition algorithm for geo-physical inversion[J].Chinese Journal Geophysics,2007,50(1):305-312.
[4]戴永寿,王俊岭,王伟伟,等.基于高阶累积量ARMA模型线性非线性结合的地震子波提取方法研究[J].地球物理学报,2008,51(6):1851-1859.DAI Yong-Shou,WANG Jun-ling,WANG Wei-wei,et al.Seismic wavelet extraction via cumulant-based ARMAmod-el approach with linear and nonlinear combination[J].Chi-nese Journal Geophysics,2008,51(6):1851-1859.
[5]ADNAN Al-Smadi.Cumulant-based order selection of non-Gaussian autoregressive moving average models:the cornermethod[J].Signal Processing,2005,85(3):449-456.
[6]KENNEDY J,EBERHART C.Particle swarm optimiza-tion:proceeding of IEEE International Conference onNeural Networks[C].Piscataway,NJ:IEEE,c1995:1942-1948.
[7]KENNEDY J,EBERHARTR C.A new optimizer usingparticle swarm theory:proceedings of the Sixth Interna-tional Symposium on Micro Machine and Human Science[C].Nagoya:IEEE,c1995:1045-1049.
[8]NIU Hui,DAI Yongshou,PENG Xing.Particle swarmoptimization with adaptive parameters and boundary con-straints:proceedings of the 3rd International Conferenceon Networks Security,Wireless Communications and Trus-ted Computing[C].Wuhan:IEEE,c2011:1082-1085.
[9]CLERC M,KENNEDY J.The particle swarm-explosion,stability,and convergence in a multidimensional complexspace[J].IEEE Transactions on Evolutionary Computa-tion,2002,6(1):58-73
[10]KANNAN S,SLOCHANAL S M R,SUBBARAJ P,etal.Application of particle swarm optimization techniqueand its variants to generation expansion planning prob-lem[J].Electric Power Systems Research,2004,70(3):203-210.
[11]YIN P Y.A discrete particle swarm algorithm for opti-mal polygonal approximation of digital curves[J].Jour-nal of Visual Communication and Image Representa-tion,2004,15(2):241-260.
[2]LAZEAR G D.Mixed-phase wavelet estimation using fourth-order cumulant[J].Geophysics,1993,58:1042-1051.
[3]师学明,王家映,易远元,等.一种新的地球物理反演方法——模拟原子跃迁反演法[J].地球物理学报,2007,50(1):305-312.SHI Xue-ming,WANG Jia-ying,YI Yuan-yuan,et al.Astudy on the simulated atomic transition algorithm for geo-physical inversion[J].Chinese Journal Geophysics,2007,50(1):305-312.
[4]戴永寿,王俊岭,王伟伟,等.基于高阶累积量ARMA模型线性非线性结合的地震子波提取方法研究[J].地球物理学报,2008,51(6):1851-1859.DAI Yong-Shou,WANG Jun-ling,WANG Wei-wei,et al.Seismic wavelet extraction via cumulant-based ARMAmod-el approach with linear and nonlinear combination[J].Chi-nese Journal Geophysics,2008,51(6):1851-1859.
[5]ADNAN Al-Smadi.Cumulant-based order selection of non-Gaussian autoregressive moving average models:the cornermethod[J].Signal Processing,2005,85(3):449-456.
[6]KENNEDY J,EBERHART C.Particle swarm optimiza-tion:proceeding of IEEE International Conference onNeural Networks[C].Piscataway,NJ:IEEE,c1995:1942-1948.
[7]KENNEDY J,EBERHARTR C.A new optimizer usingparticle swarm theory:proceedings of the Sixth Interna-tional Symposium on Micro Machine and Human Science[C].Nagoya:IEEE,c1995:1045-1049.
[8]NIU Hui,DAI Yongshou,PENG Xing.Particle swarmoptimization with adaptive parameters and boundary con-straints:proceedings of the 3rd International Conferenceon Networks Security,Wireless Communications and Trus-ted Computing[C].Wuhan:IEEE,c2011:1082-1085.
[9]CLERC M,KENNEDY J.The particle swarm-explosion,stability,and convergence in a multidimensional complexspace[J].IEEE Transactions on Evolutionary Computa-tion,2002,6(1):58-73
[10]KANNAN S,SLOCHANAL S M R,SUBBARAJ P,etal.Application of particle swarm optimization techniqueand its variants to generation expansion planning prob-lem[J].Electric Power Systems Research,2004,70(3):203-210.
[11]YIN P Y.A discrete particle swarm algorithm for opti-mal polygonal approximation of digital curves[J].Jour-nal of Visual Communication and Image Representa-tion,2004,15(2):241-260.
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