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Seminars, Colloquia, and Conferences2019 Norbert Wiener LecturesMary WheelerProfessor, The University of Texas at Austin Thursday, October 24, 2019 Abstract: Mathematical modeling of complex physical phenomena for predictive understanding is challenging because these problems involve multiple, interacting physical and chemical processes. Multiphysics models need to be developed to simultaneously simulate such processes and their interactions. In this presentation we describe two important subsurface applications, carbon storage and multiphase flow in fractured reservoirs. We discuss core technologies needed by these mathematical models based on laboratory experiments and field data sets, coupled with both computational methods for modeling these physical phenomena and statistical analyses of controlling factors.Friday, October 25, 2019 Colloquium Talk: 3:00pm-4:00pm Reception: 4:00pm Location: Bromfield-Pearson Room 101 (Reception: Conference Room) Title: Phase Field Modeling for Diffusive Networks and Stimulation in Porous Media Abstract: The phase field method has emerged in recent years as a powerful variational approach to model crack propagation in elastic porous media. The most important feature of this method lies in the fact that it can handle fracture nucleation, propagation, merging, branching, kinking and curvilinear paths without any post-processing or additional computations; these complex fracture paths arise naturally as part of the numerical solution of an underlying partial differential equation. Unlike other computational fracture mechanics approaches, the phase field method does not require modeling the discontinuities in the medium or tracking the crack tip Instead, it introduces a diffusive zone that interpolates between the fracture zone and the intact material. This smears out the sharp crack interfaces that typically introduce singularities in the numerical computations. The Norbert Wiener Lectures were initially funded by an anonymous gift to the Department of Mathematics. All talks are free and open to the public. |
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