Existence of a solution for generalized Forchheimer flow in porous media
arXiv:1804.0140910 citationsh-index: 11
Originality Synthesis-oriented
AI Analysis
Provides theoretical foundations for a class of nonlinear flow models in porous media, relevant to engineering and geoscience applications.
The paper proves existence and uniqueness of solutions for generalized Forchheimer flows in porous media for both stationary and transient problems using semi-discretization in time.
This paper is focused on the generalized Forchheimer flows for slightly compressible fluids. We prove the existence and uniqueness of the differential system for stationary problem. The technique of semi-discretization in time is used to prove the existence of solution for the transient problem.