Interface control volume finite element method for modelling multi-phase fluid flow in highly heterogeneous and fractured reservoirs
Interface control volume finite element method for modelling multi-phase fluid flow in highly heterogeneous and fractured reservoirs
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DOI：
10.1016/j.jcp.2015.05.024
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发表时间：
2015-10
期刊：
影响因子：
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通讯作者：
A. Abushaikha;M. Blunt;O. Gosselin;C. Pain;M. Jackson
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文献类型：
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作者：
A. Abushaikha;M. Blunt;O. Gosselin;C. Pain;M. Jackson
本文提出了一种新的控制体有限元方法，它改进了高非均质裂缝性油藏多相流体渗流的模拟，称为界面控制体有限元方法。该方法在质量守恒性和数值一致性的同时，大大减少了其他CVFE方法中的涂抹效应。压力是在单元的交界处计算的，控制体是围绕它们构建的，而不是在单元的顶点。这确保了控制体积最多横跨两个元件，当它们的材料特性存在较大变化时，减少了相邻元件之间的流体涂抹。压力计算采用最低阶Raviart-Thomas矢量基函数，通量计算采用一阶Courant基函数。该方法是混合杂交有限元(MHFE)和CVFE方法的结合。用三维四面体单元表示非均质油藏，对其精度和收敛性能进行了检验。结果表明，我们的新方法比现有的CVFE方法更准确。
We present a new control volume finite element method that improves the modelling of multi-phase fluid flow in highly heterogeneous and fractured reservoirs, called the Interface Control Volume Finite Element (ICVFE) method. The method drastically decreases the smearing effects in other CVFE methods, while being mass conservative and numerically consistent. The pressure is computed at the interfaces of elements, and the control volumes are constructed around them, instead of at the elements' vertices. This assures that a control volume straddles, at most, two elements, which decreases the fluid smearing between neighbouring elements when large variations in their material properties are present. Lowest order Raviart–Thomas vectorial basis functions are used for the pressure calculation and first-order Courant basis functions are used to compute fluxes. The method is a combination of Mixed Hybrid Finite Element (MHFE) and CVFE methods. Its accuracy and convergence are tested using three dimensional tetrahedron elements to represent heterogeneous reservoirs. Our new approach is shown to be more accurate than current CVFE methods.