多孔介质非线性渗流的几何模型及其工程应用
Geometric framework for modeling nonlinear flows in porous media, and its applications in engineering
摘要：
这项工作代表了应用恒定的中曲率图（作为解决方案的中曲率偏微分方程）的非线性非达西渗流在多孔介质中。它将时不变压力分布图与常中曲率曲面图联系起来。这种微分几何解释方法为油藏工程技术参数评价提供了重要工具。
英文摘要：
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.
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