方位各向异性黏弹性介质波场有限元模拟

英文篇名：Finite-element methods for viscoelastic and azimuthally anisotropic media
中文刊名：物理学报
英文刊名：Acta Physica Sinica
作者：杜启振 ; 杨慧珠
英文作者：Du Qi-Zhen 1)2) Yang Hui-Zhu 1) 1)(Department of Engineering Mechanics ; Tsinghua University ; Beijing 100084 ; China) 2)(School of Oil Resources and Information ; University of Petroleum (East China) ; Dongying 257061 ; China)
中文关键词：黏弹性 ; 方位各向异性 ; 有限元 ; 时间增量法
英文关键词：viscoelasticity ; azimuthal anisotropy ; finite-element ; time increment method
出版日期：2003-08-12
机构：清华大学工程力学系,清华大学工程力学系北京100084,石油大学(华东)地球资源与信息学院,东营257061 ,北京100084
年：2003
期：08
出版单位：物理学报

摘要

随着裂缝性储集层的地位越来越重要 ,黏弹性各向异性介质中地震波传播理论的研究也越来越受到重视 .在弱黏滞性条件下 ,针对标准线性黏弹性体模型 ,采用时间增量法 ,在每一个时间步长确定黏弹性变形及载荷 ,并在计算下一个时间步长的黏弹性变形时把它加载进去 ,建立类似于解弹性问题的黏弹性方位各向异性介质波动方程的有限元递推公式 .数值模拟给出了黏弹性波在地球介质中的波场传播特征 .
With the importance of the fractured strata in the oil exploration, researchers have paid more attention to the wave propagation in viscoelastic and anisotropic media. Provided the rocks are weakly viscoelastic, the viscoelastic problems can be solved as a series of elastic problems by using the time increment method. At each step we determine the viscoelastic deformations and the corresponding viscoelastic loads, which are added to the load vectors for the next step. On this basis, the finite-element recursive formulae of viscoelastic and azimuthally anisotropic media are established. The numerical simulations show the characteristics of wavefields in the viscoelastic and azimuthally anisotropic media.

引文

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