基于粒子群优化算法的叠前角道集子波反演
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摘要
本文探讨了粒子群优化(PSO)算法在叠前地震角道集子波反演中的应用.在基本最优PSO算法的基础上,提出了对粒子更新速度进行平滑滤波的改进最优粒子群算法.由于代表子波的粒子的维数较大,如果粒子的各维元素相互独立,将导致粒子速度更新紊乱,影响搜索速度.通过对粒子速度进行三点均值滤波,加强了单个粒子各维元素的相互联系,并防止了粒子速度逃逸,使粒子更快地向有利于最优解的位置收敛.该方法应用于叠前角道集子波的反演中,取得了较好的子波反演效果,证明了本文方法的有效性.
A novel method for pre-stack seismic wavelet extraction based on particle swarm optimization (PSO) algorithm is presented in this paper.Under the framework of basic PSO algorithm,a mean filter is introduced for updating velocity of particles in order to obtain the inversion results of global optimal wavelet.Seismic wavelet vector is described in the form of particle that is composed of many elements.If elements of a certain particle are independent of others,the particle velocity updating will be in disorder,which will have an adverse effect upon the process of searching for the optimal moving trajectory of particles.Three-point mean filter is used in the process of particle velocity updating and in that way the relationship among the elements of a certain particle is strengthened,which avoid particle velocity shifting and particles converge to the optimal solution quickly.The proposed algorithm in this paper was successfully performed for wavelet extraction in real pre-stack seismic data,which demonstrates that the improved PSO algorithm is efficient and feasible in seismic wavelet inversion.
A novel method for pre-stack seismic wavelet extraction based on particle swarm optimization (PSO) algorithm is presented in this paper.Under the framework of basic PSO algorithm,a mean filter is introduced for updating velocity of particles in order to obtain the inversion results of global optimal wavelet.Seismic wavelet vector is described in the form of particle that is composed of many elements.If elements of a certain particle are independent of others,the particle velocity updating will be in disorder,which will have an adverse effect upon the process of searching for the optimal moving trajectory of particles.Three-point mean filter is used in the process of particle velocity updating and in that way the relationship among the elements of a certain particle is strengthened,which avoid particle velocity shifting and particles converge to the optimal solution quickly.The proposed algorithm in this paper was successfully performed for wavelet extraction in real pre-stack seismic data,which demonstrates that the improved PSO algorithm is efficient and feasible in seismic wavelet inversion.
引文
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[17] 王福昌,王永革,胡顺田.粒子群算法在主震断层面参数估计中的应用.地震研究,2008,31(2) :149-153 Wang F C,Wang Y G,Hu S T.Application of particle swarm optimization to the estimation of mainshock fault plane parameters.Journal of Seismological Research ( in Chinese),2008,31(2) :149-153
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[19] Aki K I,Richards P G.Quantitative Seismology.New York;W.H.Freeman and Co.,1980． 226-308
[20] Shuey R T.A simplification of the Zoeppritz equations.Geophysics,1985,50(3) :609-614
[21] Fatti J L,Smith G C,Vail P J,et al.Detection of gas in sandstone reservoirs using AVO analysis:a 3-D seismic case history using the Geostack technique.Geophysics,1994,59(9) :1362-1376
[22] 李恒建,尹忠科,张家树等.基于混沌变异粒子群优化算法的图像稀疏分解.西南交通大学学报,2008,43(4) :509-513 Li H J,Yin Z K,Zhang J S,et al.Image spare decomposition base on Particle Swarm Optimization with chaotic mutation.Journal of Southwest Jiaotong University (in Chinese),2008,43(4) :509-513
[2] 彭真明,李亚林,梁波等.叠前弹性阻抗在储层气水识别中的应用.天然气工业,2007,27(4) :43-45 Peng Z M,Li Y L,Liang B,et al.Application prestack elastic impedance inversion in gas and water recongnition of the reservoir.Natural Gas Industry (in Chinese),2007,27 (4) :43-45
[3] Downton J E.Seismic parameter estimation from AVO inversion [Ph.D.thesis].Calgary:Calgary Univ.,2005
[4] Margrave G F,Stewart R R,Larsen J A.Joint PP and PS seismic inversion.The Leading Edge,2001,20 (9) :1048-1052
[5] Smith G C.Gidlow P M.Weighted stacking for rock property estimation and detection of gas.Geophysical Prospecting,1987,35:993-1014
[6] Buland A,More H.Bayesian linearized AVO inversion.Geophysics,2003,68(1) :185-198
[7] 彭真明,李亚林,魏文阁等.粒子滤波非线性AVO反演方法.地球物理学报,2008,51(4) :1218-1225 Peng Z M,Li Y L,Wei W G,et al.Nonlinear AVO inversion using particle filter.Chinese J.Geophys.(in Chinese),2008,51(4) :1218-1225
[8] Mirko B.Time-varying wavelet estimation and deconvolution by kurtosis maximization.Geophysics,2008,73(2) :V11-V18
[9] Mirko B,Pham D T.Robust wavelet estimation and blind deconvolution of noisy surface seismic.Geophysics,2008,73 (5) :V37-V46
[10] 梁光河.地震子波提取方法研究.石油物探,1998,37(1) :31-39 Liang G H.On the methods of seismic wavelet extraction.Geophysical Prospecting for Petroleum (in Chinese),1998,37(1) :31-39
[11] 夏洪瑞,周开明,黄桥等.波阻抗反演技术中空变子波的求取.石油物探,2002,41(4) :470-474 Xia H R,Zhou K M,Huang Q,et al.Calculation of spatial-variant wavelet in acoustic impedance inversion.Geophysical Prospecting for Petroleum (in Chinese),2002,41(4) :470-474
[12] Eberhart R C,Kennedy J.A new optimizer using particle swarm theory.In:Proceedings of the Sixth International Symposium on Micro Machine and Human Science. Piscataway,NJ:IEEE Service Center,1995． 39-43
[13] Kennedy J,Eberhart R C.Particle swarm optimization.In:Proc.IEEE Intel.Conf.on Neural Networks.Piscataway,NJ:IEEE Service Center,1995． 1942-1948
[14] Maurice Clerc,James Kennedy.The particle swarm-explosion,stability,and convergence in a multidimensional complex space.IEEE Transactions on Evolutionary Computation,2002,6(l):58-73
[15] Arummgam M S,Murthy G,Rao M V C,et al.A novel effective particle swarm optimization tike algorithm via extrapolation technique.In:Proceeding of IEEE International Conference on Intelligent and Advanced Systems 2007,Kuala Lumpur,Malaysia,Nov.2007． 516-521
[16] Zhang Z,Lu C.Application of improved particle swarm optimizer to vehicle routing and scheduling problems.In:Proceedings of IEEE International Conference on Grey Systems and Intelligent Services,Nanjing,China,2007． 1150-1151
[17] 王福昌,王永革,胡顺田.粒子群算法在主震断层面参数估计中的应用.地震研究,2008,31(2) :149-153 Wang F C,Wang Y G,Hu S T.Application of particle swarm optimization to the estimation of mainshock fault plane parameters.Journal of Seismological Research ( in Chinese),2008,31(2) :149-153
[18] 李刚毅,蔡涵鹏.基于粒子群优化算法的波阻抗反演研究.勘探地球物理进展,2008,31(3) :187-191 Li G Y,Cai H P.Impedance inversion research based on Particle Swarm Optimization.Progress in Exploration Geophysics (in Chinese),2008,31(3) :187-191
[19] Aki K I,Richards P G.Quantitative Seismology.New York;W.H.Freeman and Co.,1980． 226-308
[20] Shuey R T.A simplification of the Zoeppritz equations.Geophysics,1985,50(3) :609-614
[21] Fatti J L,Smith G C,Vail P J,et al.Detection of gas in sandstone reservoirs using AVO analysis:a 3-D seismic case history using the Geostack technique.Geophysics,1994,59(9) :1362-1376
[22] 李恒建,尹忠科,张家树等.基于混沌变异粒子群优化算法的图像稀疏分解.西南交通大学学报,2008,43(4) :509-513 Li H J,Yin Z K,Zhang J S,et al.Image spare decomposition base on Particle Swarm Optimization with chaotic mutation.Journal of Southwest Jiaotong University (in Chinese),2008,43(4) :509-513
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