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JOURNALS // Numerical methods and programming // Archive

Num. Meth. Prog., 2013 Volume 14, Issue 1, Pages 50–57 (Mi vmp91)

Вычислительные методы и приложения

Acid effect on multilayer oil reservoirs

T. R. Zakirov, A. I. Nikiforov

Research Institute of Mechanics and Machinery of Kazan Scientific Center of the Russian Academy of Sciences

Abstract: The effect of hydrochloric acid on a layered heterogeneous stratum is considered. In order to describe the changes in the filtration-capacitance properties of a porous medium, a model is used in the form of a bundle of cylindrical capillaries of various radii. A formula to determine the increasing rate of the radius of a pore channel is proposed, depending on its radius, a filtration rate, and the diffusion coefficient. The resulting system of equations is solved by a finite volume method on a uniform grid.

Keywords: porous medium; two-phase flow; function of pore scale distribution; capillary radius; control volume.

UDC: 532.546

Received: 29.11.2012



© Steklov Math. Inst. of RAS, 2026