二维双相介质波动方程反演的共轭梯度法

英文篇名：A conjugate gradient method for 2-D two-phase media wave equation inversion
中文刊名：黑龙江大学自然科学学报
英文刊名：Journal of Natural Science of Heilongjiang University
作者：冯国峰 ; 王迎 ; 李壮
英文作者：FENG Guo-feng1 ; WANG Ying2 ; LI Zhuang2(1.College of Science ; Harbin Engineering University ; Harbin 150001 ; China ; 2.Science Research Department ; Qiongzhou University ; Sanya 572002 ; China)
中文关键词：双相介质 ; 孔隙率 ; 反演 ; 共轭梯度法
英文关键词：two-phase medium ; porosity ; inversion ; conjugate gradient method
出版日期：2011-06-25
机构：哈尔滨工程大学理学院;琼州学院科技处;
年：2011
期：03
出版单位：黑龙江大学自然科学学报

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.

引文

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