Viscous flow through a reservoir with porous boundary is studied via asymptotic analysis and homogenization. Under the assumption of periodicity of the pores, the effective boundary condition is derived and rigorously justified. The velocity on the boundary satisfies a version of the Darcy law. The Darcy law for tangential component can also be seen as the Beavers–Joseph law.

中文翻译：

---

通过均质化严格证明多孔壁上的有效边界条件

通过渐近分析和均质化研究通过具有多孔边界的储层的粘性流动。在孔隙周期性的假设下，有效边界条件被推导出并严格证明。边界上的速度满足达西定律的一个版本。切向分量的达西定律也可以看作是 Beavers-Joseph 定律。