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《Chinese Journal of Geophysics》 2012-01
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Multi-angle inversion of formation densities based on the accurate solutions of Zoeppritz′s partial derivative equations

LIU Fu-Ping1,MENG Xian-Jun2,WANG Yu-Mei2,SHEN Guo-Qiang2,XIAO Jia-Qi3 1 Beijing Institute of Graphic Communication,Beijing 102600,China 2 Shengli Geophysical Research Institute of China Petrochemical Corporation,SINOPEC,Dongying 257022,China 3 Great Wall Drilling Corporation of China Petroleum Corporation,CINOGWDC,Beijing 100176,China  
Based on the accurate solutions of Zoeppritz′s partial derivative equations,which is the derivative equations of Zoeppritz equations with respect to densities of formation,we have constructed the multi-angle inverse equations for inversion of formation densities,and realized the multi-angle inversion of formation densities with the accurate solution of reflected coefficient′s grads of seismic wave.We have also given numerical examples for different stratum models.The results show that whether there is interference between two reflected waves from different reflection interfaces or not,the precisions of inverse results are very good,if only the iterative times of inversion are over 10,the largest relative error of inverse results is less than 1%;with the increasing of inverse angles the precision of multi-angle inverse results is gradually improved;the inversion has emending function itself,and has high running speeds.This method has overcome the difficulty that conventional AVO(Amplitude Versus Offset) approximate methods are confronted with,and is not restricted with the magnitude of incidence angle whether the reflection interface is strong reflection or not.This method offers a new computational method for us to invert for the densities of strata with multi-angles.
【Fund】: 北京市属市管高等学校人才强教计划项目(PHR201107145);; 国家高技术研究发展计划(2007AA060500)资助
【CateGory Index】: P631.4
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