Transport in chemically and mechanically heterogeneous porous media—III. Large-scale mechanical equilibrium and the regional form of Darcy’s law
نویسندگان
چکیده
In this paper we develop the regional form of Darcy’s law when the condition of large-scale mechanical equilibrium is valid. This condition occurs for many steady or quasi-steady flows of practical importance, and analytical constraints are presented which define the domain of validity for large-scale mechanical equilibrium. Given a two-region model of a heterogeneous porous medium, the intrinsic region-averaged velocities can be expressed in terms of the large-scale average velocity according to
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