Abstract
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. Comparing with triangular well pattern, quadrangular well pattern has more advantages in some cases and has broader application prospects. However, constructing an optimal quadrangular well pattern is more complicated and has not gain enough research. Facing this situation, a new method of constructing quadrangular adaptive well pattern is proposed in this paper. This quadrangular adaptive well pattern is generated using frontal Delaunay quad-mesh generation method. 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. 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. Two different examples are applied to demonstrate the proposed methodology. 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.
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Bittencourt, A.C., Horne, P., Roland, N.: Reservoir Development and Design Optimization. In: SPE Annual Technical Conference and Exhibition, San Antonio, Texas, 1 38895 (1997)
Guyaguler, B., Horne, R.N.: Uncertainty Assessment of Well Placement Optimization. In: SPE Annual Technical Conference and Exhibition, New Orleans, Louisiana, 1 71625 (2001)
Badru, O., Kabir, C.S.: Well Placement Optimization in Field Development. In: SPE Annual Technical Conference and Exhibition, Denver, Colorado, 1 84191 (2003)
Özdogan, U., Horne, R.N.: Optimization of Well Placement with a History Matching Approach. In: SPE Annual Technical Conference and Exhibition, Houston, Texas, 1 90091 (2004)
Ermolaev, A.I., Larionov, A.S., Nifantov, A.V.: Efficient Well Spacing Algorithms. In: 10th European Conference on Mathematics of Oil Recovery (2006)
Bangerth, W., Klie, H., Wheeler, M.F., et al.: On optimization algorithms for the reservoir oil well placement problem. Comput. Geosci. 10(3), 303–219 (2006)
Zandvliet, M.J., Handels, M., Brouwer, D.R., et al.: Adjoint Based Well-Placement Optimization under Production Constraints. In: SPE Reservoir Simulation Symposium, Houston, Texas, 1 105797 (2007)
Maschio, C., Nakajima, L.: Schiozer: Production Strategy of Optimization Using Genetic Algorithm and Quality Map. In: Europec/EAGE Conference and Exhibition, Rome, Italy, SPE 113483 (2008)
Onwunalu, J., Litvak, M., Durlofsky, L.J., et al.: Application of Statistical Prosies to Speed up Field Development Optimization Procedures. In: Abu Dhabi International Petroleum Exhibition and Conference, Abu Dhabi, SPE 117323 (2008)
Litvak, M., Onwunalu, J., Baxter, J.: Field Development Optimization with Subsurface Uncertainties. In: SPE Annual Technical Conference and Exhibition, Denver, 1 146512 (2011)
Wang, H.G., David, E.C., Durlofsky, L.J., et al.: Optimal well placement under uncertainty using a retrospective optimization framework. SPE J. 17(1), 112–121 (2012). SPE 141950
Ma, X., Plaksina, T., Gildin, E.: Integrated Horizontal Well Placement and Hydraulic Fracture Stages Design Optimization in Unconventional Gas Reservoirs. In: SPE Unconventional Resources Conference Canada, Calgary, Alberta, SPE 167246 (2013)
Mauranda, N., Barrere, V.: Prototype for the optimization of CO2 injection wells placement in a reservoir. Energy Procedia 63, 3097–3106 (2014)
Chen, M., Tompson, A.F.B., Mellors, R.J., Abdalla, O.: An efficient optimization of well placement and control for a geothermal prospect under geological uncertainty. Appl. Energy 137, 352–363 (2015)
Humphries, T.D., Haynes, R.D.: Joint optimization of well placement and control for nonconventional well types. J. Pet. Sci. Eng. 126, 242–253 (2015)
Ding, S., Jiang, H., Li, J., Tang, G.: Optimization of well placement by combination of a modified particle swarm optimization algorithm and quality map method. Comput. Geosci. 18(5), 747–762 (2014)
Zhang, K., Zhang, W., Zhang, L., Yao, J., Chen, Y., Lu, R.: A study on the construction and optimization of triangular adaptive well pattern. Comput. Geosci. 18(2), 139–156 (2014)
Blacker, TD, Stephenson, M.B.: Paving: A new approach to automated quadrilateral mesh generation. Int. J. Numer. Meth. Eng. 32(4), 811–847 (1991)
Frey, P., Marechal, L.: Fast adaptive quadtree mesh generation. Proceedings of the Seventh International Meshing Roundtable, Citeseer, pp. 211–224 (1998)
Lee, C.K., Lo, S.H.: A new scheme for the generation of a graded quadrilateral mesh. Comput. Struct. 52 (5), 847–857 (1994)
Borouchaki, H., Frey, P.: Adaptive triangular-quadrilateral mesh generation. Int. J. Numer. Meth. Eng. 45(5), 915–934 (1998)
Tchon, K., Camarero, R.: Quad-dominant mesh adaptation using specialized simplicial optimization. In: Proceedings of the 15th International Meshing Roundtable, Springer, pp. 21–38 (2006)
Remacle, J.-F., Henrotte, F., Carrier-Baudouin, T., Bechet, E., Marchandise, E., Geuzaine, C., Mouton, T.: A frontal Delaunay quad mesh generator using the L\(\infty \) norm. Int. J. Numer. Meth. Eng. 00, 1–6 (2010)
Frey, W.H.: Selective refinement: a new strategy for automatic node placement in graded triangular meshes. Int. J. Numer. Meth. Eng. 24(11), 2183–2200 (1987)
Frey, W.H., Field, D.A.: Mesh relaxation: a new technique for improving triangulations. Int. J. Numer. Meth. Eng. 31(6), 1121–1133 (1991)
Cavendish, J.C., Field, D.A., Frey, W.H.: An approach to automatic three-dimensional finite element mesh generation. Int. J. Numer. Meth. Eng. 21(2), 329–347 (1985)
Rebay, S.: Efficient unstructured mesh generation by means of Delaunay triangulation and Bowyer–Watson algorithm. Comput. Phys. 106(1), 125–138 (1993)
Anderson, W.K.: A grid generation and flow solution method for the Euler equations on unstructured grids. Comput. Phys. 110(1), 23–38 (1994)
Levy, B., Liu, Y.: Lp centroidal voronoi tesselation and its applications. ACM Trans. Graph. 29(4), 1–11 (2010)
Ross, S.A.: Uses, abuses, and alternatives to the net-present-value rule J. Financ. Manag. 24(3), 96–102 (1995)
Acknowledgments
The work is supported by “The National Natural Science Foundation of China” under Grant 61573018 and 51504277, “The Natural Science Foundation of Shan Dong Province” under Grant ZR2015EL014, “China Important National Science & Technology Specific Projects” under Grant 2016ZX05025001-006, “863 Important Project” under Grant 2013AA09A215, the Fundamental Research Funds for the Central Universities” under Grant 15CX05035A.
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Zhang, K., Zhang, H., Zhang, L. et al. A new method for the construction and optimization of quadrangular adaptive well pattern. Comput Geosci 21, 499–518 (2017). https://doi.org/10.1007/s10596-017-9626-3
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DOI: https://doi.org/10.1007/s10596-017-9626-3