The Maseeh Mathematics and Statistics Colloquium Series*
presents, Mathematical modeling of Methane in Subsurface: Toward Hybrid Models
by Malgorzata Peszynska, Department of Mathematics, Oregon State University
Mathematical modeling of methane in subsurface: toward hybrid models
Abstract: Methane gas is both an energy resource and environmental
hazard. In the talk we describe two applications: methane hydrates and
coal bed methane, whose understanding requires broad interdisciplinary
collaborations and is important for global climate and energy studies.
We first discuss various models based on partial differential
equations with special constructs allowing to incorporate multiple
scales, multi-valued operators, and inequality constraints. We
indicate the mathematical and computational challenges which include
the paucity of analysis results available for comprehensive models.
Then we indicate the need to go beyond these, e.g., to coarse grained
discrete models of statistical mechanics, for accurate modeling of
complex dynamic phenomena at micropore and molecular scales. These
eventually need to be coupled to continuum models. While such hybrid
models offer great opportunities, they also present an entirely new
set of challenges and research questions.
Friday, January 27th, 2012 at 3:15pm
Neuberger Hall room 454
(Refreshments served at 3:00 Neuberger Hall room 344)