期刊文献+

流体饱和多孔隙介质弹性波方程边界元解法研究 被引量:9

A boundary element method for the 2-D wave equation in fluid-saturated porous media
下载PDF
导出
摘要 基于流体饱和多孔隙各向同性介质模型,本文首先推导了流体饱和多孔隙介质中弹性波传播的频率域系统动力方程及边界积分方程,然后给出了流体饱和多孔隙介质弹性波方程的基本解,最后,利用本文给出的边界元方法对流体饱和多孔隙各向同性介质中的弹性波传播进行了数值模拟.结果表明:不论是从固相位移,还是液相位移的地震合成记录都能看到明显的慢速P波,本文提出的流体饱和多孔隙介质弹性波边界元法是有效可行的. Based on the fluid-saturated porous model this paper analyses and presents the dynamic equation of elastic wave propagation and boundary integral equation formulation of fluid saturated porous media in the frequency domain. The analogy between dynamic poroelasticity and thermoelasticity in the frequency domain is used to obtain the fundamental solution. At last, the numerical simulation of the elastic wave propagation in two-phase isotropic media is carried out by using the boundary element method. The results show that a slow quasi P-wave can be seen in both solid and fluid wave-field synthetic seismograms. It indicates that the boundary element method presented in this paper is effective and feasible.
出处 《地球物理学报》 SCIE EI CAS CSCD 北大核心 2009年第9期2364-2369,共6页 Chinese Journal of Geophysics
基金 国家自然科学基金项目(40830423)资助
关键词 流体饱和多孔隙介质 各向同性 弹性波 边界元法 数值模拟 Fluid-saturated porous media Isotropic Elastic wave Boundary element method Numerical simulation
  • 相关文献

参考文献24

  • 1Biot M A.Theory of propagation of elastic waves in a fluid-saturated porous solid.Part I:Low frequency range.J.Acoust.Soc.Am.,1956,28:168-178. 被引量:1
  • 2Biot M A.Theory of propagation of elastic waves in a fluid-saturated porous solid.Part II:Higher frequency range.J.Acoust.Soc.Am.,1956,28:179-191. 被引量:1
  • 3Simon B R,Wu J S-S,Zienkiewicz O C.Evaluation of u-w and u-π finite element of saturated porous media using one dimensional models.Int.J.Numer.Anal.Methods Geomech.,1986,10:461-482. 被引量:1
  • 4Simon B R,Wu J S-S,Zienkiewicz O C.Evaluation of higher order,mixed and hermitean finite element procedures for dynamic analysis of saturated porous media using one dimensional models.Int.J.Numer.Anal.Methods Geomech.,1986,10:483-499. 被引量:1
  • 5Atalla N,Panneton R,Debergue P.A mixed Displacement-pressure formulation for Biot's poroelastic equation.J.Acoust.Soc.Am.,1996,104:1444-1452. 被引量:1
  • 6Panneton R,Atalla N.An efficient finite element scheme for solving the three dimensional poroelasticity problem in acoustics.J.Acoust.Soc.Am.,1997,101:328-329. 被引量:1
  • 7王尚旭..双相介质中弹性波问题有限元数值解和AVO问题[D].中国石油大学(北京),1990:
  • 8徐文骏,郭建.流体饱和多孔介质中弹性波的数值模拟[J].地球物理学报,1994,37(A02):424-433. 被引量:7
  • 9张新明,刘克安,刘家琦.流体饱和多孔隙介质二维弹性波方程正演模拟的小波有限元法[J].地球物理学报,2005,48(5):1156-1166. 被引量:27
  • 10牟永光,裴正林著..三维复杂介质地震数值模拟[M].北京:石油工业出版社,2005:215.

二级参考文献71

共引文献166

同被引文献187

引证文献9

二级引证文献86

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部