Mathematical Averaging of the Coefficients of a System of Elliptic and Parabolic Equations in Continuum Mechanics

Autor: R. Kh. Nizayev, O. I. Bogomolova, V. A. Bogomolov, P. V. Malov, S. P. Plohotnikov
Rok vydání: 2019
Předmět:
Zdroj: Lobachevskii Journal of Mathematics. 40:681-689
ISSN: 1818-9962
1995-0802
DOI: 10.1134/s1995080219050160
Popis: The problem of averaging the physical parameters (the coefficients of a system of elliptic and parabolic equations) of the continuum mechanics is studied. As an example, we consider the mathematical model of two-phase filtration. A comparative analysis of a numerical solution of the two-phase filtration in two known models averaged over the thickness of oil bed and in three-dimensional reference models is performed. The calculations are made using the linear, quadratic, and cubic initial permeability. All the calculations are performed for five-point and nine-point flooding systems.
Databáze: OpenAIRE
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