摘要
根据地震勘探的需要,讨论了非均匀各向同性弹性介质中地震波传播的数值模拟方法.文中建立了问题的数学模型(包括吸收边界条件的选取及各种震源下定解条件的提法等),提出了其有限元-有限差分计算格式,并从理论上证明了格式的稳定性,给出了稳定性条件.数值试验的结果表明,本文的方法有很好的精度和稳定性.
This paper deals with the problems of the numerical simulation of the seismic wave propagation in inhomogeneous isotropic elastic media,which arise in the exploration geophysics.The mathematical models(including the selection of absorbing boundary conditions, the description of the seismic sources, etc.) are established. Their finite element finite difference computational schemes are presented.The stability of a scheme for the acoustic wave equation is proved, and the stability condition is given.The results of numerical experiments have confirmed the effectiveness of the methods.
出处
《地球物理学报》
SCIE
EI
CSCD
北大核心
1995年第A01期39-55,共17页
Chinese Journal of Geophysics
基金
国家自然科学基金委员会
中国科学院
中国石油天然气总公司和大庆石油管理局联合资助
关键词
弹性介质
地震波
有限元
地震勘探
数值模拟
Inhomogeneous isotropic elastic media, Seismic wave, Finite element method, Finite difference method, Absorbing boundary condition,Stabillty.