Applied Mathematics Seminar

Speaker: Yanzhao Cao

Title:  Steady and Quasi-static Flow in a Deformable Poroelasticitic Medium

Abstract: We are surrounded by poroelastic solid materials: natural (e.g., living tissue: plant or animal, rocks, soils) and manmade (e.g., cement, concrete, filters, foams, ceramics). Because of their ubiquity and unique properties poroelasticity materials are of interest to natural scientists,  and engineers. Applications of poroelasticity include reservoir engineering, biomechanics and environmental engineering. 

In this talk we present models for a steady and quasi-static flow in a saturated deformable porous medium. In particular, the application of poroelasticity modeling to hydraulic fracking will be discussed. We will present results on well-posedness, regularity and numerical solutions of the governing PDEs.