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Mathematics Colloquium by Akif Ibragimov
Friday, Jan 30, 2015
2 p.m. - 3 p.m. Location: FO 2.404

Akif Ibragimov

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


Contact Info:
John Zweck, 072-883-6699
Questions? Email me.

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