Convergence Analysis of Miscible Displacement in Porous Media by Mixed Finite Element and Orthogonal Collocation Methods

Author

Ma, Ning

Author_Institution

Coll. of Sci., China Univ. of Pet., Beijing, China

fYear

2010

fDate

17-19 Dec. 2010

Firstpage

399

Lastpage

401

Abstract

A nonlinear system of two coupled partial differential equations models miscible displacement of one incompressible fluid by another in a porous medium. A sequential implicit time-stepping procedure is defined, in which the pressure and Darcy velocity of the mixture are approximated simultaneously by a mixed finite element method and the concentration is approximated by an orthogonal collocation method. Optimal order convergence in L²-norm is proved.

Keywords

convergence of numerical methods; error analysis; estimation theory; finite element analysis; flow simulation; flow through porous media; mixtures; partial differential equations; solubility; Darcy velocity; L²-norm; concentration; convergence analysis; coupled partial differential equations; incompressible fluid; miscible displacement; mixed finite element method; mixture; nonlinear system; optimal order convergence; orthogonal collocation method; porous media; sequential implicit time-stepping procedure; Equations; Finite element methods; Mathematical model; Media; Moment methods; Partial differential equations; Petroleum; collocation; error estimate; incompressible miscible displacement; mixed finite element;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational and Information Sciences (ICCIS), 2010 International Conference on

Conference_Location

Chengdu

Print_ISBN

978-1-4244-8814-8

Electronic_ISBN

978-0-7695-4270-6

Type

conf

DOI

10.1109/ICCIS.2010.104

Filename

5709107