流体饱和多孔介质波动方程的有限元解法

详细信息

收稿日期: 1998-07-03

修回日期: 1999-04-30

上线日期: 2000-04-25

FINITE ELEMENT METHODS FOR THE EQUATIONS OF WAVES IN FLUID-SATURATED POROUS MEDIA

Received Date: 03 July 1998

Revised Date: 30 April 1999

Available Online: 25 April 2000

摘要: 讨论了流体饱和多孔介质中波传播问题的有限元解法，首先在Ｂｉｏｔ理论的基础上，概述了数学问题的提法，然后提出了一种新型简便的人工边界上的无反射边界条件，同时给出了有人工边界时流体饱和多孔介质波动方程的有限元计算公式．数值试验的结果表明，本文提出的无反射边界条件和数值方法均很有效．
- 流体饱和多孔介质 /
- 波动方程 /
- 无反射边界条件 /
- 有限元解法
Abstract: In this paper, wave propagation in fluid-saturated porous media is discussed. A mathematical model based on the Blot's theory is described. and a new kind of non-reflecting boundary conditions on artificial boundaries is developed. This conditions has simple form and is convenient to be used. Some finite element formulas are given for the wave equations in fluid-saturated porous media with the non-reflecting boundary condition mentioned above. The numerical results show that our non-reflecting boundary condition and numerical methods are effective.
- Fluid-saturated porous media /
- Wave equation /
- Non-reflecting boundary condition /
- Finite element method