Petroleum Science >2013, Issue 3: 361-372 DOI: https://doi.org/10.1007/s12182-013-0284-3
Application of control volume based finiteelement method for solving the black-oil fluidequations Open Access
文章信息
作者：GHOREISHIAN AMIRI S A,SADRNEJAD S A,GHASEMZADEH H 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 Dept., Iranian Central Oil Field Co., Tehran, Iran
投稿时间：2012-05-21
引用方式：Ghoreishian Amiri, S.A., Sadrnejad, S.A., Ghasemzadeh, H. et al. Pet. Sci. (2013) 10: 361. https://doi.org/10.1007/s12182-013-0284-3
文章摘要
This is the second paper of a series where we introduce a control volume based finite element
method (CVFEM) to simulate multiphase flow in porous media. This is a fully conservative method
able to deal with unstructured grids which can be used for representing any complexity of reservoir
geometry and its geological objects in an accurate and efficient manner. In order to deal with the inherent
heterogeneity of the reservoirs, all operations related to discretization are performed at the element
level in a manner similar to classical finite element method (FEM). Moreover, the proposed method can
effectively reduce the so-called grid orientation effects. In the first paper of this series, we presented this
method and its application for incompressible and immiscible two-phase flow simulation in homogeneous
and heterogeneous porous media. In this paper, we evaluate the capability of the method in the solution
of highly nonlinear and coupled partial differential equations by simulating hydrocarbon reservoirs using
the black-oil model. Furthermore, the effect of grid orientation is investigated by simulating a benchmark
waterflooding problem. The numerical results show that the formulation presented here is efficient and
accurate for solving the bubble point and three-phase coning problems.
method (CVFEM) to simulate multiphase flow in porous media. This is a fully conservative method
able to deal with unstructured grids which can be used for representing any complexity of reservoir
geometry and its geological objects in an accurate and efficient manner. In order to deal with the inherent
heterogeneity of the reservoirs, all operations related to discretization are performed at the element
level in a manner similar to classical finite element method (FEM). Moreover, the proposed method can
effectively reduce the so-called grid orientation effects. In the first paper of this series, we presented this
method and its application for incompressible and immiscible two-phase flow simulation in homogeneous
and heterogeneous porous media. In this paper, we evaluate the capability of the method in the solution
of highly nonlinear and coupled partial differential equations by simulating hydrocarbon reservoirs using
the black-oil model. Furthermore, the effect of grid orientation is investigated by simulating a benchmark
waterflooding problem. The numerical results show that the formulation presented here is efficient and
accurate for solving the bubble point and three-phase coning problems.
关键词
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Control volume based finite element,black-oil model, grid orientation, porous media