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Mathematical Analysis and Numerical Methods for an Underground Oil Recovery Model

2017-06-29
 

Academic Report

Title: Mathematical Analysis and Numerical Methods for an Underground Oil Recovery Model

Reporter: Ying Wang(University of Oklahoma)

Time: July 4,2017(Tuesday) AM9:30-10:20

Location: 1101#Room, Innovation Park Building 

Contact: Yang Cao

 

Abstract: In this talk, I will discuss a multi-scale underground oil recovery model which include a third-order mixed derivatives term resulting from the dynamic effects in the pressure difference between the two phases. Analytic study on the computational domain reduction will be provided. A variety of numerical examples in both one and two space dimensions will be given. They show that the solutions may have many different saturation profiles depending on the initial conditions, diffusion parameter, and the third-order mixed derivatives parameter. The results are consistent with the study of traveling wave solutions and their bifurcation diagrams.

 

The brief introduction to the reporter: Ying Wang obtained her Bachelor degree in Computer Science from the National University of Singapore, Master degree in Applied Mathematics from Georgia Tech, and Ph.D in Mathematics from the Ohio State University. She has been a Dunham Jackson Assistant Professor at the University of Minnsota, before joining the faculty at the department of Mathematicsin the University of Oklahoma in 2013. Wang's research interests lie in Numerical Analysis and Scientific Computing, especially Numerical Solutions of Hyperbolic Conservation Laws and Pseudo-parabolic equations. Wang also has some work in Mathematical biology and image processing. Wang's research is current supported by the National Science Foundation.