复杂裂缝网络页岩气藏自适应网格剖分方法
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摘要
网格是油气藏数值模拟的基础,传统网格剖分方法制约着复杂裂缝网络页岩气藏数值模拟技术的发展,研究裂缝性介质高效网格剖分方法具有重要意义。笔者以裂缝节点为基础,基于图像像素点原理、距离最近原则和对数加密方法,提出了一种网格数量少、计算精度高、可以处理任意复杂裂缝网络分布的自适应网格剖分方法(AMM)。研究结果表明,AMM中裂缝网格控制面积比NFFLOW中的控制面积更接近实际情况;AMM可以处理任意复杂裂缝网络和复杂边界条件模型;相比已有网格剖分方法,AMM可大幅度降低计算网格数量。在用于页岩气藏数值模拟时,AMM可以同时解决由复杂裂缝引起计算网格多、精度低等问题,为实现矿场尺度页岩气藏数值模拟奠定基础。
The computation mesh is a basic factor for reservoir simulation.The traditional mesh generation method restricts the development of numerical simulation technology of shale gas reservoir with complex fracture network.Therefore,it is of great significance to establish an efficient mesh generation method for fractured medium.On the basis of fracture nodes,an adaptive mesh method(AMM)is established based on the principles of pixel point and distance nearest as well as the logarithmic encryption method.The AMM can handle the arbitrary complex network with a small number of grids,showing high computing precision.The results show that the control area of fractured grid in AMM is closer to the actual situation than that in NFFLOW;AMM can also handle any arbitrary complex fracture network and complex boundary condition model.Compared with the existing mesh method,AMM greatly reduces the number of computational grids.When performing numerical simulation for shale gas reservoirs,AMM can solve the problems such as large amount of computational grids and low precision caused by complex fractures,so as to lay a foundation for the numerical simulation of field-scale shale gas reservoirs.
The computation mesh is a basic factor for reservoir simulation.The traditional mesh generation method restricts the development of numerical simulation technology of shale gas reservoir with complex fracture network.Therefore,it is of great significance to establish an efficient mesh generation method for fractured medium.On the basis of fracture nodes,an adaptive mesh method(AMM)is established based on the principles of pixel point and distance nearest as well as the logarithmic encryption method.The AMM can handle the arbitrary complex network with a small number of grids,showing high computing precision.The results show that the control area of fractured grid in AMM is closer to the actual situation than that in NFFLOW;AMM can also handle any arbitrary complex fracture network and complex boundary condition model.Compared with the existing mesh method,AMM greatly reduces the number of computational grids.When performing numerical simulation for shale gas reservoirs,AMM can solve the problems such as large amount of computational grids and low precision caused by complex fractures,so as to lay a foundation for the numerical simulation of field-scale shale gas reservoirs.
引文
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[16] BOYLE E J,SAMS W N.NFFLOW:a reservoir simulator incorporating explicit fractures[R].SPE153890,2012.
[17] MI Lidong,YAN Bicheng,JIANG Hanqiao,et al.An enhanced discrete fracture network model to simulate complex fracture distribution[J].Journal of Petroleum Science and Engineering,2017,156:484-496.
[18]糜利栋.离散裂缝网络页岩气藏多尺度渗流数值模拟方法研究[D].北京:中国石油大学(北京),2017:1-155.MI Lidong.Numerical simulation study of multiscale percolation in shale gas reservoir based on discrete fracture network[D].Beijing:China University of Petroleum,2017:1-155.
[19]姜汉桥,糜利栋.一种网格划分方法及装置:中国,CN107704685A[P].2018-02-16.JIANG Hanqiao,MI Lidong.Mesh generation method and device:China,CN107704685A[P].2018-02-16.
[20]MI Lidong,JIANG Haiqiao,WANG Yuhe,et al.A novel and adaptive mesh method for arbitrary discrete fracture networks DFN simulations[R].SPE183980,2017.
[2]赵金洲,彭瑀,林啸,等.考虑复杂应力分布的数值缝宽计算模型及其应用[J].石油学报,2016,37(7):914-920.ZHAO Jinzhou,PENG Yu,LIN Xiao,et al.Numerical fracture width model considering complex stress distribution and its application[J].Acta Petrolei Sinica,2016,37(7):914-920.
[3]郭小哲,王晶,刘学锋.页岩气储层压裂水平井气-水两相渗流模型[J].石油学报,2016,37(9):1165-1170.GUO Xiaozhe,WANG Jing,LIU Xuefeng.Gas-water two phase porous flow model of fractured horizontal well in shale gas reservoir[J].Acta Petrolei Sinica,2016,37(9):1165-1170.
[4]纪文明,宋岩,姜振学,等.四川盆地东南部龙马溪组页岩微-纳米孔隙结构特征及控制因素[J].石油学报,2016,37(2):182-195.JI Wenming,SONG Yan,JIANG Zhenxue,et al.Micro-nano pore structure characteristics and its control factors of shale in Longmaxi Formation,southeastern Sichuan Basin[J].Acta Petrolei Sinica,2016,37(2):182-195.
[5]李武广,钟兵,杨洪志,等.页岩储层基质气体扩散能力评价新方法[J].石油学报,2016,37(1):88-96.LI Wuguang,ZHONG Bing,YANG Hongzhi,et al.A new method for gas diffusivity evaluation in matrix rocks of shale reservoir[J].Acta Petrolei Sinica,2016,37(1):88-96.
[6] WARREN J E,ROOT P J.The behavior of naturally fractured reservoirs[J].Society of Petroleum Engineers Journal,1963,3(3):245-255.
[7] BARENBLATT G,ZHELTOV I P,KOCHINA I N.Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks[J].Journal of Applied Mathematics and Mechanics,1960,24(5):1286-1303.
[8] BRANETS L V,GHAI S S,LYONS S L,et al.Challenges and technologies in reservoir modeling[J].Communications in Computational Physics,2009,6(1):1-23.
[9] OLORODE O,FREEMAN C M,MORIDIS G,et al.High-resolution numerical modeling of complex and irregular fracture patterns in shale-gas reservoirs and tight gas reservoirs[J].SPE Reservoir Evaluation&Engineering,2013,16(4):443-455.
[10] ROMAIN M,CAUMON G,LEVY B,et al.Building centroidal voronoi tessellations for flow simulation in reservoirs using flow information[C]∥SPE Reservoir Simulation Symposium.Woodlands,Texas,USA:SPE,2011.
[11] SARDA S,JEANNIN L,BOURBIAUX B.Hydraulic characterization of fractured reservoirs:simulation on discrete fracture models[R].SPE66398,2001.
[12] BASQUET R,BOURBIAUX B J,COHEN C E.Fracture flow property identification:an optimized implementation of discrete fracture network models[R].SPE93748,2005.
[13] MOINFAR A.Development of an efficient embedded discrete fracture model for 3D compositional reservoir simulation in fractured reservoirs[D].Austin:The University of Texas at Austin,2013.
[14] MOINFAR A,VARAVEI A,SEPEHRNOORI K,et al.Development of an efficient embedded discrete fracture model for 3D compositional reservoir simulation in fractured reservoirs[J].SPE Journal,2014,19(2):289-303.
[15] MCKOY M L,SAMS W N.Tight gas reservoir simulation:modeling discrete irregular strata-bound fracture networks and network flow,including dynamic recharge from the matrix[C]∥Proceedings of the Natural Gas Conference.Houston,TX,United States:US Department of Energy's Federal Energy Technology Center Publication,1997.
[16] BOYLE E J,SAMS W N.NFFLOW:a reservoir simulator incorporating explicit fractures[R].SPE153890,2012.
[17] MI Lidong,YAN Bicheng,JIANG Hanqiao,et al.An enhanced discrete fracture network model to simulate complex fracture distribution[J].Journal of Petroleum Science and Engineering,2017,156:484-496.
[18]糜利栋.离散裂缝网络页岩气藏多尺度渗流数值模拟方法研究[D].北京:中国石油大学(北京),2017:1-155.MI Lidong.Numerical simulation study of multiscale percolation in shale gas reservoir based on discrete fracture network[D].Beijing:China University of Petroleum,2017:1-155.
[19]姜汉桥,糜利栋.一种网格划分方法及装置:中国,CN107704685A[P].2018-02-16.JIANG Hanqiao,MI Lidong.Mesh generation method and device:China,CN107704685A[P].2018-02-16.
[20]MI Lidong,JIANG Haiqiao,WANG Yuhe,et al.A novel and adaptive mesh method for arbitrary discrete fracture networks DFN simulations[R].SPE183980,2017.