二维双相介质波动方程反演的共轭梯度法  

A conjugate gradient method for 2-D two-phase media wave equation inversion

作　　者：冯国峰[1] 王迎[1] 李壮[2] 

机构地区：[1]哈尔滨工程大学理学院,哈尔滨150001 [2]琼州学院科技处,三亚572022

出　　处：《黑龙江大学自然科学学报》2011年第3期312-318,共7页Journal of Natural Science of Heilongjiang University

基　　金：中央高校基本科研业务费专项资金资助项目(HEUFC20111137);海南省自然科学基金资助项目(609006);三亚市院校专项资金资助项目(YD09074)

摘　　要：针对二维双相介质波动方程反问题,将大范围收敛的同伦方法与求解大规模优化问题的共轭梯度法有机结合,并引入求解不适定问题的Tikhonov正则化方法,构造出正则化-同伦-共轭梯度法。数值实验结果表明了该方法能有效地处理非线性的、不适定的地震勘探反演问题。To solve the two-phase medium wave equation inversion problem,a regularization-Homotopy-conjugate gradient method is constructed by combinating a widely convergent homotopy method with the conjugate gradient method for solving large-scale optimization problem,and introducing the Tikhonov regularization method for solving ill-posed problems.The results of numerical experiments show that the method is very effective in dealing with non-linear,ill-posed problem of seismic exploration inversion.

关 键 词：双相介质 孔隙率 反演 共轭梯度法 

分 类 号：P631[天文地球—地质矿产勘探]