Petroleum Science >2012, Issue 4: 485-497 DOI: https://doi.org/10.1007/s12182-012-0233-6
A control volume based finite element methodfor simulating incompressible two-phaseflow in heterogeneous porous media and itsapplication to reservoir engineering Open Access
文章信息
作者：SADRNEJAD S A,GHASEMZADEH H,GHOREISHIAN AMIRI S A and MONTAZERI G H1
作者单位：
Faculty of Civil Engineering, K. N. Toosi University of Technology, Tehran, Iran;1 Faculty of Civil Engineering, K. N. Toosi University of Technology, Tehran, Iran;1 Faculty of Civil Engineering, K. N. Toosi University of Technology, Tehran, Iran;2 Research and Development Department, Iranian Central Oil Field Co., Tehran, Iran
投稿时间：2011-12-02
引用方式：Sadrnejad, S.A., Ghasemzadeh, H., Ghoreishian Amiri, S.A. et al. Pet. Sci. (2012) 9: 485. https://doi.org/10.1007/s12182-012-0233-6
文章摘要
Applying the standard Galerkin finite element method for solving flow problems in porous
media encounters some difficulties such as numerical oscillation at the shock front and discontinuity
of the velocity field on element faces. Discontinuity of velocity field leads this method not to conserve
mass locally. Moreover, the accuracy and stability of a solution is highly affected by a non-conservative
method. In this paper, a three dimensional control volume finite element method is developed for twophase
fluid flow simulation which overcomes the deficiency of the standard finite element method, and
attains high-orders of accuracy at a reasonable computational cost. Moreover, this method is capable of
handling heterogeneity in a very rational way. A fully implicit scheme is applied to temporal discretization
of the governing equations to achieve an unconditionally stable solution. The accuracy and efficiency of
the method are verified by simulating some waterflooding experiments. Some representative examples
are presented to illustrate the capability of the method to simulate two-phase fluid flow in heterogeneous
porous media.
media encounters some difficulties such as numerical oscillation at the shock front and discontinuity
of the velocity field on element faces. Discontinuity of velocity field leads this method not to conserve
mass locally. Moreover, the accuracy and stability of a solution is highly affected by a non-conservative
method. In this paper, a three dimensional control volume finite element method is developed for twophase
fluid flow simulation which overcomes the deficiency of the standard finite element method, and
attains high-orders of accuracy at a reasonable computational cost. Moreover, this method is capable of
handling heterogeneity in a very rational way. A fully implicit scheme is applied to temporal discretization
of the governing equations to achieve an unconditionally stable solution. The accuracy and efficiency of
the method are verified by simulating some waterflooding experiments. Some representative examples
are presented to illustrate the capability of the method to simulate two-phase fluid flow in heterogeneous
porous media.
关键词
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Finite element method, control volume, two-phase flow, heterogeneity, porous media,waterflooding