FLOW OF FLUIDS - Porous Materials - ROCK MECHANICS - SOIL MECHANICS;
D O I:
10.1016/0167-6636(87)90013-5
中图分类号:
T [工业技术];
学科分类号:
08 ;
摘要:
The space-averaging formalism of Anderson and Jackson is employed to develop a set of balance laws for a multicomponent mixture. The interactions between the mixture components appear as surface integrals in the averaged (or macroscopic) balance laws. These balance laws are used to study the motion of a porous solid; it is shown that the formulations of Herrmann and Morland are only approximate in that both of these authors neglected the effects of microinertia. The motion of an incompressible Newtonian fluid through a rigid porous matrix is considered, and the assumptions required to recover Darcy's law are discussed. Finally the averaged balance laws are used to derive a first order theory for the motion of fluid-saturated porous media; it is shown that reasonable approximations lead to the balance laws previously derived by Garg, et al. on heuristic grounds.