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准各向异性粘弹介质地震波的数字仿真
引用本文:范祯祥,邓玉琼. 准各向异性粘弹介质地震波的数字仿真[J]. 地球物理学报, 1988, 31(2): 198-210
作者姓名:范祯祥  邓玉琼
作者单位:1. 石油部物探局研究院 河北涿州;2. 美国哥伦比亚大学应用地球物理实验室 纽约
摘    要:本文论述准各向异性粘弹波动方程有限元数值解地震波响应的原理与计算方法,并给出地震衰减因子与方程中粘滞系数的计算关系式。列出了所研制的地面记录地震剖面与井中记录垂直地震剖面,以及波场时间切片图、散度与旋度图、应变能与动能的时间切片图。本方法适于任意分层形态且层间物性参数为强间断的实际地震剖面的仿真,旨在研究正问题以实现反问题。

关 键 词:准各向异性  粘弹介质  有限元  散度  旋度  位能  动能  数字仿真  
收稿时间:1987-08-15

THE NUMERICAL MODELING OF SEISMIC WAVE IN THE TRANSVERSELY ISOTROPIC AND VISCOELASTIC MEDIA
FAN ZHEN-XIANC. THE NUMERICAL MODELING OF SEISMIC WAVE IN THE TRANSVERSELY ISOTROPIC AND VISCOELASTIC MEDIA[J]. Chinese Journal of Geophysics, 1988, 31(2): 198-210
Authors:FAN ZHEN-XIANC
Affiliation:1. Geophysical Research Institute, Bureau of Geophysical Prospecting Ministy of Petroleum Industy, Zhuozhou, Hebei;2. Aldridge Laboratory of Applied Geophysics, Columbia University in the City of New York, USA
Abstract:In this paper the theory and computation of finite element method is discussed for solving seismic response in anisotropic viscoelastic media, the relations between the attenuation factor and viscosity are presented. Simultaneously, numerical results for both seismic profiles recorded on the surface and vertical seismic profiles recorded in the wells: the wave field time snap shot, time snap shot for divergence, vortex, strain and potential energy are also listed. The method presented here can be used to simulate the seismic profiles in arbitrarily layered -structure with strong discontinuities and the purpose of this paper is to investigate the forword problems as a preliminary to study the invers problems.
Keywords:Transversely isotropic   Viscoelasticity   Finite element   Divergence   Vortex   Stain energy   Kinetic energy   Numerical simulation.  
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