Stability Analysis of the Modified IMPES Scheme for Two–Phase Flow in Porous Media Including Dynamic Capillary Pressure | Zendy

Mohamed F. ElAmin | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Stability Analysis of the Modified IMPES Scheme for Two–Phase Flow in Porous Media Including Dynamic Capillary Pressure

Author(s) -

Mohamed F. ElAmin

Publication year - 2017

Publication title -

procedia computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.334

H-Index - 76

ISSN - 1877-0509

DOI - 10.1016/j.procs.2017.05.150

Subject(s) - saturation (graph theory) , capillary pressure , porous medium , capillary action , computer science , mechanics , flow (mathematics) , stability (learning theory) , two phase flow , porosity , mathematics , materials science , control theory (sociology) , thermodynamics , physics , composite material , artificial intelligence , control (management) , combinatorics , machine learning

In this paper, the problem of two-phase flow in porous media including dynamic capillary pressure has been studied numerically. The IMplicit Pressure Explicit Saturation (IMPES) scheme has been modified to solve the governing equations. The pressure equation is treated implicitly with the saturation equation to obtain the pressure, while the saturation equation is solved explicitly to update the saturation at each time step. We introduce stability analysis of the modified scheme and its stability condition has been derived. Comparison between the static and the dynamic capillary pressure has been introduced to illustrate the efficiency of the modified scheme.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research