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Transport in Porous Media, Vol.19, No.2, 157-197, 1995
ON THE CONTINUUM MODELING OF POROUS-MEDIA CONTAINING FLUID - A MOLECULAR VIEWPOINT WITH PARTICULAR ATTENTION TO SCALE
Mass conservation and linear momentum balance relations for a porous body and any fluid therein, valid at any given length scale in excess of nearest-neighbour molecular separations, are established in terms of local weighted averages of molecular quantities. The mass density field for the porous body at a given scale is used to identify its boundary at this scale, and a porosity field is defined for any pair of distinct length scales. Specific care is paid to the interpretation of the stress tenser associated with each of the body and fluid at macroscopic scales, and of the force per unit volume each exerts on the other. Consequences for the usual microscopic and macroscopic viewpoints are explored.