| Texto completo | |
| Autor(es): |
Abreu, Eduardo
[1]
Número total de Autores: 1
|
| Afiliação do(s) autor(es): | [1] Univ Campinas UNICAMP, Dept Appl Math, IMECC, BR-13083970 Campinas, SP - Brazil
Número total de Afiliações: 1
|
| Tipo de documento: | Artigo Científico |
| Fonte: | MATHEMATICS AND COMPUTERS IN SIMULATION; v. 97, p. 234-259, MAR 2014. |
| Citações Web of Science: | 13 |
| Resumo | |
This paper presents a new numerical formulation for the simulation of immiscible and incompressible three-phase water-gas-oil flows in heterogeneous porous media. We take into account the gravitational effects, both variable permeability and porosity of porous medium, and explicit spatially varying capillary pressure, in the diffusive fluxes, and explicit spatially varying flux functions, in the hyperbolic operator. The new formulation is a sequential time marching fractional-step procedure based in a splitting technique to decouple the equations with mixed discretization techniques for each of the subproblems: convection, diffusion, and pressure-velocity. The system of nonlinear hyperbolic equations that models the convective transport of the fluid phases is approximated by a modified central scheme to take into account the explicit spatially discontinuous flux functions and the effects of spatially variable porosity. This scheme is coupled with a locally conservative mixed finite element formulation for solving parabolic and elliptic problems, associated respectively with the diffusive transport of fluid phases and the pressure-velocity problem. The time discretization of the parabolic problem is performed by means of an implicit backward Euler procedure. The hybrid-mixed formulation reported here is designed to handle discontinuous capillary pressures. The new method is used to numerically investigate the question of existence, and structurally stable, of three-phase flow solutions for immiscible displacements in heterogeneous porous media with gravitational effects. Our findings appear to be consistent with theoretical and experimental results available in the literature. (C) 2013 IMACS. Published by Elsevier B.V. All rights reserved. (AU) | |
| Processo FAPESP: | 12/19874-8 - Projeto de um esquema balanceado para a aproximação numérica de um modelo de escoamento trifásico com funções de fluxo descontínuas |
| Beneficiário: | Eduardo Cardoso de Abreu |
| Modalidade de apoio: | Auxílio à Pesquisa - Pesquisador Visitante - Internacional |
| Processo FAPESP: | 11/11897-6 - Análise numérica e modelagem matemática de EDPs não lineares em dinâmica de fluidos em meios porosos |
| Beneficiário: | Eduardo Cardoso de Abreu |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |