Instability Analysis of Miscible Displacements in Homogeneous Porous Media

Shahnazari, M. R.; Eslami, F.; Rezazadeh, Sh.

Instability Analysis of Miscible Displacements in Homogeneous Porous Media

Document Type : Full article

Authors

M. R. Shahnazari ¹

F. Eslami ²

Sh. Rezazadeh ³

¹ Assistant Professor of Mechanical Faculty, K.N.Toosi University of Technology, Iran

² Department of Mech. Eng , K.N.Toosi University of Technology, Iran

³ Planning Engineer & Project Manager, Aquarion Water Company, Iran

Abstract

Stability analysis of miscible displacement has several applications in industries such as oil recovering and ground water tables. In this article an analytical solution is presented based on Tan and Homsy’s results for stability analysis in t = 0. Moreover, a novel semi analytical solution is used, based on weighted residual method, to solve the Fourier space equations. The results are shown as σ (disturbance growth rate) – k (wave number); profiles for different values of mobility ratios and times. A comparison with the results of the other researches is also presented.

Keywords

Stability Analysis

Displacement

Miscible Fluid

Porous Medium