ON BALANCE LAWS FOR FLUID-SATURATED POROUS-MEDIA

被引:4
作者
GARG, SK
机构
[1] S-CUBED, La Jolla, CA, USA, S-CUBED, La Jolla, CA, USA
关键词
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.
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页码:219 / 232
页数:14
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