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

该奖项支持普渡大学的Jim Douglas和巴西里约热内卢理工学院的Paulo Jorge S. Paes Leme在应用数学领域的合作研究。项目的目标是建模。分析和设计天然裂缝多孔介质中多相流动的数值模拟方法。最近，引入具有适当边界条件的适当微分方程组改善了这种流动的各个方面。对于单相流和两相流，这将有助于更好地描述裂缝和多孔岩石中流体之间的相互作用。这项工作的另一个目标是将这种方法扩展到考虑可压缩性影响以及相间质量交换的其他流动中。此外，另一个目标是从微观结构分析中研究这些模型参数的宏观性质。该合同将使美国和巴西之间富有成效的合作得以继续。

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.