کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4626525 1631788 2015 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A stochastic Galerkin approach to uncertainty quantification in poroelastic media
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A stochastic Galerkin approach to uncertainty quantification in poroelastic media
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 266, 1 September 2015, Pages 328–338
نویسندگان
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