A stochastic Galerkin approach to uncertainty quantification in poroelastic media

Paul Delgado and Vinod Kumar

Applied Mathematics and Computation, 2015, vol. 266, issue C, 328-338

Abstract: Recent concerns over the safety of oil and natural gas extraction, fracking, and carbon sequestration have driven the need to develop methods for uncertainty quantification for coupled subsurface flow and deformation processes. Traditional Monte Carlo methods are versatile but exhibit prohibitively slow convergence. In this work, we develop an intrusive polynomial chaos expansion method for Biot’s poroelasticity equations based on the Galerkin projection with uniform and log-normally distributed material parameters. We analyze accuracy and efficiency of our method and compare it to the Monte Carlo method. We verify exponential convergence of the stochastic Galerkin approach.

Keywords: Uncertainty quantification; Poroelasticity; CO2 sequestion; Stochastic Galerkin method (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:266:y:2015:i:c:p:328-338

DOI: 10.1016/j.amc.2015.04.127

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