Applied Mathematics Seminar
Date/Time/Room: Friday (1/26/2001) at 3:30 pm in 487 Pickard Hall
Department of Mathematics,
Southern Methodist University
``Mathematical and Computational Techniques in Energy and Environmental Modeling ''Abstract: Mathematical models have been widely used to predict, understand, and optimize many complex physical processes, from semiconductor or pharmaceutical design to large-scale applications such as global weather models to astrophysics. In particular, simulation of multiphase fluid flows in petroleum reservoirs is extensive. Here we address the need for using similar models to understand the fate and transport of chemical species and to design enhanced oil recovery strategies.
Three basic problem areas need to be addressed in the modeling and simulation of the flow of fluids in petroleum reservoirs. First, one obtains an effective model to describe the complex fluid/fluid and fluid/rock interactions that control the transport of chemical species in reservoirs. This includes the problem of obtaining accurate reservoir descriptions at various length scales and modeling the effects of this heterogeneity in the reservoir simulators. Next, one develops accurate discretization techniques that retain the important physical properties of the continuous models. Finally, one develops efficient numerical solution algorithms that utilize the potential of the emerging computing architectures. This talk will focus on mathematical and computational techniques in these areas, discuss recent advances, and mention future research directions.