By Carman P.C.
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1976. A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resources Research 12 (3), 513–522. , 1977. Fundamentals of Numerical Reservoir Simulation. Elsevier Scientific Publishing Co, New York, NY. , 1999. A mechanistic model for water seepage through thick unsaturated zones in fractured rocks of low matrix permeability. Water Resources Research 35 (4), 1039–1051. , 1974. The Physics of Flow through Porous Media. University of Toronto Press. , 1986. Waterflooding.
Journal of Contaminant Hydrology 16 (2), 109–130. , 1993. The productivity index of an inclined well in finitedifference reservoir simulation. In: SPE Symposium on Reservoir Simulation, New Orleans, Louisiana. 2118/25247-MS. , 1976. An integrated finite difference method for analyzing fluid flow in porous media. Water Resources Research 12 (1), 57–64. , 1977. Fundamentals of Numerical Reservoir Simulation. , New York, NY. , 1978. Interpretation of well-block pressures in numerical reservoir simulation (includes associated paper 6988).
Numerical Model and Formulation 51 in which Abi is the mass accumulation term at node i; the “flow” term, flowijb , is the mass flux between two neighboring nodes i and j; and Qbi , the mass sink/source term at node i for fluid b, respectively, defined below. 11) Here, the sink/source term, qbi, is defined as the mass exchange rate per unit volume of rocks at grid block i, (kg/sm3). It is normally used to treat boundary conditions, such as production or injection through wells. 9). , 1995). 1) presents a precise form of the mass-balance equation for each fluid mass at grid block i in a discrete form.