摘要
波形反演是一种利用全波场信息,通过最小化预测波场和实际波场的残差来揭示地下岩性和构造信息的方法.本文首先简述了常规拟牛顿算法的原理,之后利用一种新的拟牛顿公式对Davidon-Fletcher-Powell(DFP)和Broyden-Fletcher-Goldfarb-Shanno(BFGS)算法进行了修正,改进后的BFGS算法在近似Hessian矩阵逆矩阵时,不仅考虑了梯度和模型信息,还加入了目标函数本身的信息,而且对于每次迭代,基本没有增加计算量.数值试验表明,相对常规拟牛顿方法,修正BFGS算法在保证反演精度的同时,明显提高了反演效率.
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.
出处
《地球物理学报》
SCIE
EI
CAS
CSCD
北大核心
2013年第7期2447-2451,共5页
Chinese Journal of Geophysics
基金
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
