Geometric framework for modeling nonlinear flows in porous media, and its applications in engineering

摘要

This work represents an application of constant mean curvature graphs (assolutions of the mean curvature PDE) to non-linear non-Darcy flows in porousmedia. It relates time invariant pressure distribution graphs to graphs ofconstant mean curvature surfaces. This differential geometric interpretationprovides an important tool for evaluating technological parameters in reservoirengineering.