2 p.m. - 3 p.m. Location: FO 2.404
Department of Mathematics & Statistics
Texas Tech University
Qualitative properties of the non-linear flow in porous media and application in engineering
In this lecture we will focus on the analysis of non-linear flows in porous media and some engineering applications. It has been observed for many years that the traditional linear Darcy equation does not adequately predict many important features of gas and liquid flows in the reservoir. Essentially, modern challenges in reservoir engineering introduced a new class of mathematical problems. We will discuss the discovery of novel relations between main hydrodynamic parameters of the flows in porous media and corresponding mathematical models. The study of a class of generalized non-linear momentum equation, covering pre-Darcy, Darcy and post-Darcy equations within one framework of models based on non-linear parabolic equations of second order, will be introduced. We will also discuss qualitative properties of the solution of the corresponding equations and the relation of these theoretical results to practical engineering applications. In our talk we will also address some unsolved important problems closely related to modern technology that has a potential to increase significantly oil and gas recoverable reserves.
Prior to the colloquium, coffee will be served in FO 2.404
Sponsored by the Department of Mathematical Sciences
John Zweck, 072-883-6699
Questions? Email me.