Numerical analysis of in-situ biodegradation model in porous media

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:344

Article

Agouzal, Abdellatif¹  Allali, Karam²  Binna, Siham² 

[1] Claude Bernard Univ Lyon 1, CNRS UMR 5208, Inst Camille Jordan, F-69100 Villeurbanne, France

[2] Univ Hassan II Casablanca, Fac Sci & Technol, Lab Math & Applicat, POB 146, Mohammadia, Morocco

关键词: In situ-biodegradation;    Porous media;    Non linear diffusive flux;    Darcy law;    Stream function-vorticity formulation;    A priori error estimates;   

DOI  :  10.1016/j.cam.2018.05.027

来源: Elsevier

【 摘 要 】

In this paper a numerical analysis of in situ-biorestoration is presented. Improved stability and error estimates are derived for a P1 finite-element method applied to coupled system of non linear partial differential equations modeling flow in porous media. These results improve upon previously derived stability and error estimates in two respects: first, a stability of the approximate solution is demonstrated in the case of a non linear diffusive flux lambda(u)del u with weaker norm assumptions than before and depends only on the initial conditions and time interval, and second, error estimates are optimal as in linear case. Extensions include the finite element approximation of flow field, described by Darcy's law under the stream function-vorticity formulation because of its multiple advantages. Finally, numerical simulations for a correlation exponential plume are presented. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free