频率—空间域有限差分正演迭代法实现  

The Forward Iterative Method of Finite Difference in Frequency-space Domain

作　　者：徐梦婕 

机构地区：[1]中国地质调查局国土资源部海底矿产资源重点实验室,广东广州510075 [2]中国地质调查局广州海洋地质调查局,广东广州510075

出　　处：《工程地球物理学报》2017年第6期666-670,共5页Chinese Journal of Engineering Geophysics

基　　金：中国地质调查局项目(编号:GZH201100303;GZH201100305)

摘　　要：频率域正演是频率域全波形反演的基础,此外它更适用于在处理介质参数与频率有关的问题。为了更高效地实现频率域正演,本文利用有限差分算子离散频率域—空间域波动方程,频率域正演转化为大型稀疏矩阵线性方程组的求解问题,以广义最小残差法实现频率—空间域有限差分正演迭代。与频率—空间域有限差分正演直接法相比,频率—空间域有限差分正演迭代法所需的储存空间小的特点,而两者的模拟精度和耗费时间相当。随着频率域正演的发展,数据维数越来越大,计算所需的储存空间面临极大的挑战,而迭代法能很好地解决这一问题。Frequency - domain forward is a key part of full waveform inversion and it is more suitable to deal with the problem when the parameters of media are related to the fre-quency. In order to realize frequency -domain forward more efficiently, the frequency -do-main forward turns to solve the large sparse linear system by discreting the wave equation of frequency -space domain with finite -difference operator and the generalized least resid-ual method is used to realize the forward iterative of finite difference in frequency - space domain. Compared with the direct forward method of finite-difference in frequency-space domain, the forward iterative method of finite - difference in frequency - space domain needs little space, and the simulation precision and time consuming are similar. With the development of the frequency domain forward, the data dimension is becoming larger and larger, and the storage space required for computation is confronted with great challenges, and the iterative method can solve this problem well.

关 键 词：频率—空间域 有限差分 稀疏矩阵 迭代法 直接法 

分 类 号：P631.4[天文地球—地质矿产勘探]