10 citations · 25 across the 14 of their papers we have counts for
4 papers · 1 filter
A family of steady two-phase generalized Forchheimer flows and their linear stability analysis
Luan T. Hoang, Akif Ibragimov, Thinh T. Kieu
We model multi-dimensional two-phase flows of incompressible fluids in porous media using generalized Forchheimer equations and the capillary pressure. Firstly, we find a family of…
Upscaling of Nonlinear Forchheimer Flows
Eugenio Aulisa, Lidia Bloshanskaya, Yalchin Efendiev +1
In this work we propose upscaling method for nonlinear Forchheimer flow in highly heterogeneous porous media. The generalized Forchheimer law is considered for incompressible and s…
Geometric Methods in the Analysis on Non-linear Flows in Porous Media (Preliminary Version)
Eugenio Aulisa, Akif Ibragimov, Magdalena Toda
Over the past few years, we developed a mathematically rigorous method to study the dynamical processes associated to nonlinear Forchheimer flows for slightly compressible fluids.…
Geometric framework for modeling nonlinear flows in porous media, and its applications in engineering
Eugenio Aulisa, Akif Ibragimov, Magdalena Toda
This work represents an application of constant mean curvature graphs (as solutions of the mean curvature PDE) to non-linear non-Darcy flows in porous media. It relates time invari…