Download Computational Methods for Multiphase Flows in Porous Media by Zhangxin Chen PDF

By Zhangxin Chen

This publication bargains a primary and functional advent to using computational equipment, rather finite aspect equipment, within the simulation of fluid flows in porous media. it's the first e-book to hide a large choice of flows, together with single-phase, two-phase, black oil, risky, compositional, nonisothermal, and chemical compositional flows in either traditional porous and fractured porous media. moreover, more than a few computational equipment are used, and benchmark difficulties of 9 comparative answer tasks equipped via the Society of Petroleum Engineers are awarded for the 1st time in e-book shape.

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To reduce the coupling, we now write them in a different formulation, where a global pressure is used. 3. , 1997A). Introduce the phase mobilities λα = krα , µα α = w, o, and the total mobility λ = λw + λo . Also, define the fractional flow functions λα , λ fα = α = w, o. 42) and the total velocity u = uw + uo . 42) that the total velocity is u = −kλ ∇p − (ρw fw + ρo fo )℘∇z . 42), we obtain ∇ ·u=− ∂φ qo qw + . 45) gives a pressure equation for p: −∇ · kλ ∇p − (ρw fw + ρo fo )℘∇z =− ∂φ qo qw + .

2 The Numerical Model .......................................... 3 Numerical History Matching ................................. 4 Predictions ........................................................... 5 Assessment of Different Development Methods ............................................................... 10 Bibliographical Remarks ................................................... 432 Exercises ...................................................................................... 432 12.

The spatial and temporal variables will be represented by x = (x1 , x2 , x3 ) and t, respectively. Denote by φ the porosity of the porous medium (the fraction of a representative elementary volume available for the fluid), by ρ the density of the fluid per unit volume, by u = (u1 , u2 , u3 ) the superficial Darcy velocity, and by q the external sources and sinks. 2. 1. A differential volume. sider a rectangular cube such that its faces are parallel to the coordinate axes (cf. 1). The centroid of this cube is denoted (x1 , x2 , x3 ), and its length in the xi -coordinate direction is xi , i = 1, 2, 3.

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