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.
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.
出处
《力学与实践》
CSCD
北大核心
2003年第3期17-20,共4页
Mechanics in Engineering
基金
国家教育部项目(2000172)
辽宁省自然科学技术基金项目(2001101063)资助
关键词
摄动理论
流固耦合
渗流问题
非线性偏微分方程组
nonlinear, fluid-solid coupling seepage flow, perturbation theory, approximate analytical
