Title :
Convergence Analysis of Miscible Displacement in Porous Media by Mixed Finite Element and Orthogonal Collocation Methods
Author_Institution :
Coll. of Sci., China Univ. of Pet., Beijing, China
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;
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
DOI :
10.1109/ICCIS.2010.104
