Capacitance Model Sample Clauses

Capacitance Model. Dispersion into matrix blocks from surrounding fractures is typically calculated by assuming that the tracer concentration in the fractures is uniform within a given volume of reservoir rock. This assumption results in the following equation for diffusion of a single tracer in a single fluid phase: ∂(φm Cm )  ∂Cm  ∂t where = φ m KmSA   ∂n   f (5.1) φm = matrix porosity, fraction Cm = average tracer concentration in matrix block, m/L3 Km = tracer diffusion coefficient in matrix, L2/t SA = matrix block surface area per unit bulk volume of reservoir, L-1  ∂Cm  ∂n     f = tracer concentration gradient normal to matrix block surface, m/L4 If transient behavior is ignored, Eq. 5.1 may be approximated by ( ) ∂(C m ) = σKm Cf − Cm (5.2) ∂t where s is a shape factor to account for matrix block geometry and number of matrix blocks per unit reservoir volume, and Cf is the tracer concentration in the fracture. Note that the shape factor has units of L-2. Xxxxxx et al. [1976] recommended a shape factor for cubic matrix blocks of σ = 4nN L2
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Related to Capacitance Model

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