Geometric framework for modeling nonlinear flows in porous media, and its applications in engineering
Differential Geometry
2013-02-26 v2 Mathematical Physics
math.MP
Abstract
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 invariant pressure distribution graphs to graphs of constant mean curvature surfaces. This differential geometric interpretation provides an important tool for evaluating technological parameters in reservoir engineering.
Cite
@article{arxiv.1302.5461,
title = {Geometric framework for modeling nonlinear flows in porous media, and its applications in engineering},
author = {Eugenio Aulisa and Akif Ibragimov and Magdalena Toda},
journal= {arXiv preprint arXiv:1302.5461},
year = {2013}
}
Comments
The complete work is available at http://www.sciencedirect.com/science/article/pii/S1468121809001709