J4 ›› 2012, Vol. 47 ›› Issue (2): 19-25.

• Articles • Previous Articles     Next Articles

Convergence of the finite element method for two-phase multi-component flow in porous media

YU Jin-biao1,2, XI Kai-hua3*, DAI Tao2, LU Tong-chao3, YANG Yao-zhong2,   

  1. 1. College of Geosciences, China University of Petroleum, Beijing 102249, China;
    2. Research Institute of Geological Science, Shengli Oilfield Company Ltd., Dongying 257015, Shandong, China;
    3. School of Mathematics, Shandong University, Jinan 250100, Shandong, China
  • Received:2011-05-01 Online:2012-02-20 Published:2012-12-24

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Abstract:

The mathematical model for describing two phase incompressible immiscible displacement flow with multi-components in porous media is considered. A global formulation of the governing equations, including pressure, saturation and concentration equations is constructed. For the system, a full-discrete scheme is formulated by the standard Galerkin finite element method and the optimal error estimate in H1 norm is derived.

Key words: multi-components immiscible displacement; Galerkin method; full-discrecte scheme; error estimates

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