中文摘要：

研究流固耦合理论中渗流本构方程在不同参考构形下的大变形表述方法。采用坐标和应变张量变换方法以及客观性假设，分别导出Darcy定律在空间和物质描述两种情况下的合理形式，同时还推导变形耦合情况下大变形法渗透系数的表达式。算例分析和试验结果均表明，不同描述方法渗透系数之间的差异随着变形发展而增大，在大应变情况下忽略参考构形的影响将引起较大误差。考虑变形耦合的大变形法渗透系数受到材料和几何双非线性的影响，其在数学上的单调性质要比小变形情况复杂。

英文摘要：

The large-strain description method for the constitutive equation of fluid flow in fluid-solid coupling theory is studied for different reference configurations. Using the coordinate transform method, the strain tensor transformation relation and the objectivity hypothesis, the rational forms of Darcy＇ law in both spatial description method and material description method are derived respectively, as well as the seepage coefficient expression for large-strain deformation coupling. The results of both experimental and case analysis show that the differences of seepage coefficients between different description methods increase with the development of material deformation; and the ignorance of the effect of reference configuration for large-strain problems will lead to a considerable big error. The large-strain seepage coefficient（FSSC） considering deformation coupling is greatly influenced by both material and geometrical nonlinearities. The behavior of mathematical monotonicity for FSSC is more complex than that for the large-strain seepage coefficient.