![]() Contrary to the 2D case, a 100% recombination rate is seldom attained in 3D. In this paper, a similar indirect approach is applied to the three-dimensional case, i.e., a method to recombine tetrahedra into hexahedra. ![]() This way, high-quality full-quad meshes suitable for finite element calculations can be generated for arbitrary two-dimensional geometries. ![]() So called triangle-merge techniques are then used to recombine the triangles of the initial mesh into quadrilaterals. Indirect quad mesh generation methods rely on an initial triangular mesh. The results show that the method proposed can be successfully applied to the construction and optimization of well pattern for large-scale reservoirs and improve the ultimate recovery significantly. Two different examples are applied to demonstrate the proposed methodology. Comparing to conventional regular well pattern, the new well pattern will adjust its shape according to the heterogeneity in different parts of the reservoir, achieving the optimal effect using fewest wells. Boundaries, faults, and existing wells can be constrained and treated as control variables to determine the well spacing, a gradient-based algorithm coupled with reservoir numerical simulator is used to optimize the well pattern. This quadrangular adaptive well pattern is generated using frontal Delaunay quad-mesh generation method. Facing this situation, a new method of constructing quadrangular adaptive well pattern is proposed in this paper. However, constructing an optimal quadrangular well pattern is more complicated and has not gain enough research. Comparing with triangular well pattern, quadrangular well pattern has more advantages in some cases and has broader application prospects. A proper well pattern will have considerable effects on the oil field production, with the ultimate recovery of hydrocarbon enhanced and the water production rate reduced.
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