Abstract
A kind of second-order implicit characteristic fractional steps finite difference method is presented in this paper for the numerical simulation coupled system of enhanced (chemical) oil production on consideration capillary force in porous media. Some techniques, such as the calculus of variations, energy analysis method, commutativity of the products of difference operators, decomposition of high-order difference operators and the theory of a priori estimates are introduced and an optimal order error estimates in $l^2$ norm is derived. This method has been applied successfully the numerical simulation of enhanced oil production in actual oilfields, and the simulation results are quite interesting and satisfactory.
Highlights
1.1 Background and Mathematical DescriptionMassive residual crude oil remains in the reservoir after water-flooding exploiting because the constraint of capillary force prevents the motion and the undesired fluidity ratio between displacement phase and driven phase influences the flow slightly
A kind of second-order implicit characteristic fractional step finite difference method is presented in this paper for the numerical simulation coupled system of enhanced oil production on consideration capillary force in porous media
The polymer can optimize the fluidity of displacement phase, modify the ratio with respect to driven phases, balance the leading edges well, weaken the inner porous layer, and increase the efficiency of displacement and the pressure gradient
Summary
Massive residual crude oil remains in the reservoir after water-flooding exploiting because the constraint of capillary force prevents the motion and the undesired fluidity ratio between displacement phase and driven phase influences the flow slightly. Surfactant and alkali can decrease interfacial tensions of different phases, make the bound oil move and gather (Ewing, et al, 1988; Yuan, 2013; Yuan, et al, 1998) 1 2 3. In view of capillary force, and immiscible and incompressible flow, this paper discusses a second-order characteristic fractional step difference method for numerical simulation of enhanced (chemical) oil production in porous media, and gives the theoretical analysis. Based on the former mathematical and mechanical theory, the software is accomplished, applied in national oilfields such as Daqing Oilfield and Shengli Oilfield and give rise to outstanding benefits and social value.
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