Stability of the interface between two immiscible fluids in porous media

• Main Authors: Cerasela I. Calugaru, Dan-Gabriel Calugaru, Jean-Marie Crolet, Michel Panfilov
• Format: Article
• Language: English
• Published: Texas State University 2003-03-01
• Series: Electronic Journal of Differential Equations
• Subjects: porous media; two-phase flow; interface; instability.
• Online Access: http://ejde.math.txstate.edu/Volumes/2003/25/abstr.html

A generalized model has been recently proposed in [3] to describe deformations of the mobile interface separating two immiscible and compressible fluids in a deformable porous medium. This paper deals with a few applications of this model in realistic situations where it can be supposed that gravity perturbations are propagating much slower than elastic perturbations. Among these applications, one can include the classical well-known case of groundwater flow with free surface, but also more complex phenomena, as gravitational instability with finger growth.