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《Chinese Journal of Geophysics》 2009-12
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Geophysical linear inversion based on hybrid differential evolution algorithm

PAN Ke-Jia~(1,2),WANG Wen-Juan~3,TAN Yong-Ji~2,CAO Jim-Xing~31 School of Mathematical Sciences and Computing Technology,Central South University,Changsha 410075,China2 School of Mathematical Sciences,Fudan University,Shanghai 200433,China3 State Key Lab of Oil and Gas Reservoir Geology and Exploitation.Key Lab of Earth Exploration and In formation Techniques of Ministry of Education,Chengdu University of Technology,Chengdu 610059,China  
After linearization of various geophysical inverse problems,all kinds of inversion algorithms are reduced to solve ill-conditioned linear systems.In order to estimate geophysical parameters rapidly and accurately,a new hybrid differential evolution (HDE) algorithm based on LSQR is proposed.Using LSQR to give the initial population,the computation speed and stability of original DE algorithm are improved greatly.Under different noise conditions,we make a detailed comparison among the inversion results computed by four kinds of regularization methods such as Tikhonov,TSVD,LSQR and HDE algorithm.The inversion results of theoretical models and the actual data show that the improved HDE algorithm for solving geophysical inverse problems is successful as they have high relevance with original models without regularization parameters;furthermore the new algorithm has more advantages in stability,accuracy and practicality than conventional ones.
【Fund】: 国家自然科学基会项目(10431030 10701029)资助.
【CateGory Index】: P223
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