Compositional modeling of discrete-fractured media without transfer functions by the discontinuous Galerkin and mixed methods
Compositional modeling of discrete-fractured media without transfer functions by the discontinuous Galerkin and mixed methods
复制标题
DOI：
10.2118/90277-pa
复制
发表时间：
2006-09-01
期刊：
影响因子：
3.6
通讯作者：
Firoozabadi, A.
中科院分区：
文献类型：
--
作者：
Hoteit, H.;Firoozabadi, A.
在最近的一项工作中，我们介绍了一种数值方法，结合混合有限元（MFE）和不连续Galerkin（DG）方法的成分建模在均匀和非均匀多孔介质。在这项工作中，我们将我们的数值方法扩展到二维裂缝介质。本文采用离散裂隙模型（错流平衡）来近似裂隙介质中有质量传递的两相流。离散裂缝模型在数值上上级单孔隙度模型，并克服了双孔隙度模型的局限性，包括使用形状因子。MFE方法用于求解压力方程，其中调用总速度的概念。DG方法与斜率限制器被用来近似物种平衡方程。适用于离散裂缝模型的基于单元格的有限体积格式在计算跨越三个或更多相交裂缝分支的裂缝/裂缝通量方面存在不足。在我们的工作中，这个问题得到了明确的解决，因为MFE制定。几个数值算例在裂隙介质中，以证明我们的方法的优越性，经典的有限差分方法。
In a recent work, we introduced a numerical approach that combines the mixed-finite-element (MFE) and the discontinuous Galerkin (DG) methods for compositional modeling in homogeneous and heterogeneous porous media. In this work, we extend our numerical approach to 2D fractured media. We use the discrete-fracture model (crossflow equilibrium) to approximate the two-phase flow with mass transfer in fractured media. The discrete-fracture model is numerically superior to the single-porosity model and overcomes limitations of the dual-porosity model including the use of a shape factor. The MFE method is used to solve the pressure equation where the concept of total velocity is invoked. The DG method associated with a slope limiter is used to approximate the species-balance equations. The cell-based finite-volume schemes that are adapted to a discrete-fracture model have deficiency in computing the fracture/fracture fluxes across three and higher intersecting-fracture branches. In our work, the problem is solved definitively because of the MFE formulation. Several numerical examples in fractured media are presented to demonstrate the superiority of our approach to the classical finite-difference method.