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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Three-dimensional unstructured gridding for complex wells and geological features in subsurface reservoirs, with CVD-MPFA discretization performance
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Three-dimensional unstructured gridding for complex wells and geological features in subsurface reservoirs, with CVD-MPFA discretization performance

机译：具有CVD-MPFA离散化性能的复杂井和地质特征的三维非结构化网格。

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Grid generation for reservoir simulation, must honour classical key geological features and multilateral wells. The features to be honoured are classified into two groups; (1) involving layers, faults, pinchouts and fractures, and (2) involving well distributions. In the former, control-volume boundary aligned grids (BAGs) are required, while in the latter, control-point (defined as the centroid of the control-volume) well aligned grids (WAGs) are required. Depending on discretization method type and formulation, a choice of control-point and control-volume type is made, i.e. for a cell-centered method the primal grid cells act as control-volumes, otherwise for a vertex-centered method the dual-grid cells act as control-volumes. Novel three-dimensional unstructured grid generation methods are proposed that automate control-volume boundary alignment to geological features and control point alignment to complex wells, yielding essentially perpendicular bisector (PEBI) meshes either with respect to primal or dual-cells depending on grid type. Both grid types use tetrahedra, pyramids, prisms and hexahedra as grid elements. Primal-cell feature aligned grids are generated using special boundary surface protection techniques together with constrained cell-centered well trajectory alignment. Dual-cell feature aligned grids are generated from underlying primal-meshes, whereby features are protected such that dual-cell control-volume faces are aligned with interior feature boundaries, together with protected vertex-centered (control point) well trajectory alignment. The novel methods of grid generation presented enable practical application of both method types in 3-D for the first time. The primal and dual grids generated here demonstrate the gridding methods, and enable the first comparative performance study of cell-vertex versus cell centered control-volume distributed multi-point flux approximation (CVD-MPFA) finite-volume formulations using equivalent mesh resolution on challenging problems in 3-D. Pressure fields computed by the cell-centered and vertex-centered CVD-MPFA schemes are compared and contrasted relative to the respective degrees of freedom employed, and demonstrate the relative benefits of each approximation type. Stability limits of the methods are also explored. For a given mesh the cell-vertex method uses approximately a fifth of the unknowns used by a cell-centered method and proves to be the most beneficial with respect to accuracy and efficiency. Numerical results show that vertex-centered CVD-MPFA methods outperform cell-centered CVD-MPFA method. Crown Copyright (C) 2020 Published by Elsevier B.V. All rights reserved.
机译：储层模拟网格生成，必须尊重经典的关键地质特征和多边井。尊敬的功能分为两组; （1）涉及层，断层，碎石和骨折，（2）涉及井分布。在前者中，需要控制体积边界对齐的网格（袋），而在后者中，需要控制点（定义为控制体积的质心）阱对准网格（WAG）。根据离散化方法类型和配方，进行控制点和控制量类型的选择，即用于以细胞为中心的方法，原始网格单元充当控制卷，否则是双网格的顶点居中方法细胞充当对照量。提出了新的三维非结构化电网生成方法，以使控制体积边界对对齐与地质特征和控制点对准到复杂的孔，产生基本上垂直的分子（PEBI），其根据网格型相对于原始或双电池。两种网格类型都使用四面体，金字塔，棱镜和六边形作为网格元素。使用特殊的边界表面保护技术以及受约束的细胞中心井轨迹对齐产生原始电池特征对准网格。双电池特征对准网格由底层引流网格产生，由此保护特征，使得双单元控制体面与内部特征边界对齐，以及受保护的顶点居中（控制点）井轨迹对齐。第一次提出了一种新的网格生成方法，可以在3-D中实际应用两种方法类型。这里产生的原始和双电网证明了网格化方法，并通过对具有挑战性的等效网格分辨率实现了细胞 - 顶点与细胞中心控制体积分布式多点通量的多点通量近似（CVD-MPFA）有限体积配方的第一种比较性能研究3-D中的问题。将由细胞居中和顶点的CVD-MPFA方案计算的压力场比较和相对于所用的各自的自由度对比，并展示每个近似类型的相对益处。还探讨了该方法的稳定性限制。对于给定的网格，细胞 - 顶点方法使用细胞中心方法使用的大约五分之一，并且证明是关于准确性和效率最有益的。数值结果表明，以顶点为中心的CVD-MPFA方法优于细胞中心CVD-MPFA方法。皇家版权（c）2020由elestvier b.v发布。保留所有权利。

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