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PARAMETER ESTIMATION OF TWO-FLUID CAPILLARY PRESSURE- SATURATION AND PERMEABILITY FUNCTIONSCooperative Agreement • June 21st, 2010
In Eqs. (2-1), the subscripts w and nw denote the wetting and non-wetting fluids, respectively; Pi (i = w, nw) denotes pressure (N/m2); Si (i = w, nw) is the degree of fluid saturation relative to the porosity φ; qi is flux density vector (m/s); μi (i = w, nw) denotes fluid dynamic viscosity (Ns/m2); ki (i = w, nw) is the effective permeability tensor (m2) = kri k, where k is the intrinsic permeability (m2) and kri = kri(Si) is the relative permeability. In Eq. (2-1), the cross term kij denotes the viscous drag tensor (Whitaker, 1994) representing the influence of the viscous drag that exists between the flowing wetting and non-wetting fluids. The cross term describes the coupling between the nw- and w- fluids, which appears to be highly dependent on the viscosity ratio of both fluids (Whitaker, 1986 and 1994), and the magnitude of the interfacial areas between the two fluids. Since these cross terms are either undetectable or unimportant or both for flow in complex soil systems, the c
