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力学与实践 ›› 2003, Vol. 25 ›› Issue (3): 0-0.doi: 10.6052/1000-0992-2001-496

• 应用研究 •    

摄动理论在求解流固耦合渗流问题中的应用

薛强 梁冰   

  1. 中国科学院武汉岩土力学研究所 武汉 430071 辽宁工程技术大学力学与工程科学系 123000
  • 收稿日期:2001-12-10 修回日期:2002-09-02 出版日期:2003-06-10 发布日期:2003-06-10

APPLICATION OF PERTURBATION THEORY IN SOLVING FLUID-SOLID COUPLING SEEPAGE FLOW

  • Received:2001-12-10 Revised:2002-09-02 Online:2003-06-10 Published:2003-06-10

摘要: 通过引进小参数ε,对工程中一类强非线性耦合渗流问题 采用摄动理论进行解析求解,探讨了数学模型中压力动态分布特 征,并通过数值算例分析了压力随饱和度s及时间t变化的情况, 可为实验确定压力-饱和度-渗透率之间的关系提供理论依据,同 时为求解非线性偏微分数学方程组提供一种解析求解方法.

关键词: 非线性, 耦合渗流, 摄动理论, 拟解析解

Abstract: The perturbation theory is used to solve a nonlinear fluid-solid coupling seepage flow problem, where a small parameter is introduced. A numerical example is given to analyze the pore pressure along the horizontal distance at different saturation $s$ and time $t$. The theoretical evidence is provided for the relation of pressure-saturation-permeability. Furthermore, a reliable analysis method is offered to solve the nonlinear partial differential equations.

Key words: nonlinear,