Performances Analysis of the Pressure and Production of an Oil Zone by Simulation of the Flow of a Fluid through the Porous Media

Authors: Makhlouf Mourad, Medkour Mihoub, Bouchher Omar, Messabih Sidi Mohamed, Benrachedi Khaled

Abstract:

This work is the modeling and simulation of fluid flow (liquid) through porous media. This type of flow occurs in many situations of interest in applied sciences and engineering, fluid (oil) consists of several individual substances in pure, single-phase flow is incompressible and isothermal. The porous medium is isotropic, homogeneous optionally, with the rectangular format and the flow is two-dimensional. Modeling of hydrodynamic phenomena incorporates Darcy's law and the equation of mass conservation. Correlations are used to model the density and viscosity of the fluid. A finite volume code is used in the discretization of differential equations. The nonlinearity is treated by Newton's method with relaxation coefficient. The results of the simulation of the pressure and the mobility of liquid flowing through porous media are presented, analyzed, and illustrated.

Keywords: Darcy equation, middle porous, continuity equation, Peng Robinson equation, mobility.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.2643651

References:

[1] E. Fauvel et al. / J. of Supercritical Fluids 28 (2004) 47–56.
[2] Y. K. Leung, J. W. Ho: Comparati6e Biochemistry and Physiology, Part B 124 (1999) 451–456.
[3] Ding-Yu Peng and Donald B. Robinson-Ind. Chem, Fundam, Vol.15 No.1, 196.
[4] Havard Devold Oil and gas production handbook an introduction to oil and gas production- 2006 ABB ATPA Oil and Gas.
[5] Martin S. Raymond William L. Introduction oil and gas production. American petroleum institute edition june 1996.
[6] Jossi, J. A., Stiel, L. I., & Thodos, G. (1962). The viscosity of pure substances in the dense gaseous and liquidphases. A. I. Ch. E. Journal, 8(1), 59–63.