U.S.-Brazil Cooperative Research on Simulation of Flow in Porous Media

该奖项支持合作研究， 应用数学将由吉姆指导 普渡大学的道格拉斯和保罗豪尔赫S。 里约热内卢理工学院的Paes莱梅 巴西，里约热内卢。该项目的目标是 敬风尚，分析与设计数值方法 对于多相流的模拟， 天然裂隙多孔介质 的 采用适当的制度， 有真边界微分方程 最近，各方面的情况都有所改善， 这样的流动。 对于单相和两相流， 会更好地描述 裂缝中的流体与 多孔岩石 这项工作的另一个目标是扩大这一点， 其他流动的方法， 压缩性，以及交换 考虑相之间的质量。 另外， 目的是研究宏观性质 这些模型的参数， 微观结构分析 该奖项将允许 继续保持美国的生产力-巴西 协作

This award supports cooperative research in applied mathematics to be conducted by Jim Douglas of Purdue University and Paulo Jorge S. Paes Leme of the Polytechnic Institute of Rio de Janeiro, Brazil. The objective of the project is to mode., analyze and design numerical methods for the simulation of multiphase flow in a naturally fractured porous medium. The introduction of an appropriate system of differential equations with proper boundary conditions have recently improved various aspects of such flow. For single and two-phase flow this will lead to a better description of the interaction between fluids in fractures and in porous rock. A further goal of this work is to extend this approach to other flows where the effect of compressibility, as well and the interchange of mass between phases is considered. Also, another objective is the study of macroscopic properties of the parameters of these models from microstructural analysis. This award will allow continuation of a productive U.S.-Brazil collaboration.