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《Chinese Journal of Geophysics》 2013-07
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Full waveform inversion based on modified quasi-Newton equation

LIU Lu1,2,LIU Hong1*,ZHANG Heng1,2,CUI Yong-Fu3,LI Fei3, DUAN Wen-Sheng3,PENG Geng-Xin3 1 Key Laboratory of Petroleum Resources Research,Institute of Geology and Geophysics,Chinese Academy of Sciences, Beijing 100029,China 2 University of Chinese Academy of Sciences,Beijing 100049,China 3 Research Institute of Exploration and Development,Tarim Oilfiled Company,PetroChina,Korla,Xinjiang 841000,China  
Waveform inversion is a kind of method to reveal the underground structure and lithology information through minimizing the residual error between predicted wavefield and true seismic record using full-wavefield information.In this paper,we briefly state the principle of conventional Quasi-Newton algorithm,and then exploit a new modified Quasi-Newton equation to modify the conventional Davidon-Fletcher-Powell(DFP) and Broyden-Fletcher-Goldfarb-Shanno(BFGS) algorithm.Different from past Quasi-Newton methods,this modified BFGS algorithm considers gradient value,model information and objective function value together to approximate the inverse matrix of Hessian matrix;moreover it almost does not increase the calculation amount for each iteration.Finally,numerical experiment shows that compared with conventional Quasi-Newton method,modified BFGS algorithm can not only preserve the inversion accuracy,but significantly improve calculation efficiency.
【Fund】: 国家自然科学基金重点项目(40830424);; 国家油气重大专项(2011ZX05008-006-50);; 国家863主题项目(2012AA061202)联合资助
【CateGory Index】: P631.4
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【Citations】
Chinese Journal Full-text Database 3 Hits
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