高斯—牛顿法与梯度法波形反演比较研究

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英文篇名：Comparative Study of Gauss-Newton and Gradient Waveform Inversion 中文刊名：内蒙古石油化工 英文刊名：Inner Mongolia Petrochemical Industry 作者：肖盈 ; 薛明星 ; 贺振华 ; 黄德济 英文作者：XIAO Ying XUE Ming-xing HE Zhen-hua HU ANG De-ji (College of Information Engineering ; Chengdu University of Technology ; Chengdu ; Sichuan ; 610059 ; China) 中文关键词：波形反演 ; 梯度法 ; 高斯—牛顿法 ; 雅可比矩阵 英文关键词：Waveform Inversion ; Gradient Method ; Gauss-Newton Method ; Jacobian matrix 出版日期：2008-09-30 机构：成都理工大学信息工程学院; 年：2008 期：18 出版单位：内蒙古石油化工

摘要

经典的地震波形反演采用梯度算法,该方法计算量小,但收敛速度慢,不容易重建速度场的低波数成分。我们在文中讨论了雅可比矩阵的计算,实现了高斯—牛顿法反演。数值例子表明,与梯度法相比,高斯—牛顿法收敛迅速,反演精度高,是一种更加有效可行的物性反演策略。
The classical seismic waveform inversion adopts gradient method,it doesn't require much computing consumption.While it's convergence rate is slow and the reconstruction for the low wave num- ber component of the velocity filed is difficult.In this article,we discussed the calculation of Jacobian ma- trix,accomplishing Gauss-Newton waveform inversion.The numerical example shows that compared with gradient method,Gauss-Newton method converges faster,and the inversion accuracy is higher,hence,it's a more effective and feasible inversion strategy for physical properties.

引文

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