Full Waveform Inversion Based on Modified Quasi-Newton Equation
详细信息
- 责任者：Liu Lu (Key Laboratory of Petroleum Resources Research ; Institute of Geology and Geophysics ; Chinese Academy of Sciences ; Beijing 100029 ; China) ; Liu Hong
- 刊名：Chinese Journal of Geophysics
- 出版年：2013
- 卷期：56(7)
- 关键词：地震勘探 ; seismic exploration ; 反演问题 ; inverse problem
- 页码：p.2447-2451
- 图表：2 illus., 1 table, 18 refs.
- 分类号：1600
- issnNo：ISSN0001-5733
- isbnNo：CN11-2074/P
摘要
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.