An effective numerical simulation model of multi-scale fractures in reservoir
Su Hao1,2,3, Lei Zhengdong3, Li Junchao4, Gong Bin4,5, Zhao Wenqi3, Ju Binshan1,2, Zhang Diqiu6, Qin He3
1. School of Energy Resources, China University of Geosciences, Beijing 100083, China;
2. Beijing Key Laboratory of Unconventional Natural Gas Geological Evaluation and Development Engineering, Beijing 100083, China;
3. PetroChina Research Institute of Petroleum Exploration & Development, Beijing 100083, China;
4. Nanjing Tracy Energy Technologies Inc., Jiangsu Nanjing 210019, China;
5. School of Earth Resources, China University of Geosciences, Hubei Wuhan 430074, China;
6. PetroChina Research Institute of Economics & Technology, Beijing 100724, China
In consideration of the mismatching between multi-scale feature of complex fractures in reservoir and their current numerical simulation method, an efficient triple-medium hybrid model for multi-scale fracture was proposed to classify multi-scale fractures. With high conductivity and wide span, the large-scale fractures were explicitly characterized by discrete fracture model, while the meso-scale and small-scale fractures featured with low conductivity and narrow span were upscaling to dual-medium grid and matrix grid through traditional continuum medium model respectively. Moreover, a property equivalent method of shape factor, fracture porosity and permeability in accordance with unstructured grid was put forward. The model reliability was validated by commercial simulators and actual well data of the field. The results show that the model can effectively simulate the reservoir with multi-scale complex fracture. By contrast with both traditional continuous medium model and discrete fracture model, the hybrid model can improve simulation efficiency greatly and remain a high accuracy as well.
苏皓, 雷征东, 李俊超, 龚斌, 赵文琪, 鞠斌山, 张荻萩, 秦鹤. 储集层多尺度裂缝高效数值模拟模型[J]. 石油学报, 2019, 40(5): 587-593,634.
Su Hao, Lei Zhengdong, Li Junchao, Gong Bin, Zhao Wenqi, Ju Binshan, Zhang Diqiu, Qin He. An effective numerical simulation model of multi-scale fractures in reservoir[J]. Acta Petrolei Sinica, 2019, 40(5): 587-593,634.
LIU Chun,ZHANG Ronghu,ZHANG Huiliang,et al.Genesis and reservoir significance of multi-scale natural fractures in Kuqa foreland thrust belt,Tarim Basin, NW China[J].Petroleum Exploration and Development,2017,44(3):463-472.
WANG Youjing,SONG Xinmin,TIAN Changbin,et al.Dynamic fractures are an emerging new development geological attribute in water-flooding development of ultra-low permeability reservoirs[J].Petroleum Exploration and Development, 2015,42(2):222-228.
[4]
WARREN J E,ROOT P J.The behavior of naturally fractured reservoirs[J]. Society of Petroleum Engineers Journal,1963,3(3):245-255.
[5]
KIM J G,DEO M D.Finite element,discrete-fracture model for multiphase flow in porous media[J]. AIChE Journal,2000,46(6):1120-1130.
[6]
KARIMI-FARD M,FIROOZABADI A.Numerical simulation of water injection in fractured media using the discrete-fracture model and the Galerkin method[J].SPE Reservoir Evaluation & Engineering,2003,6(2):117-126.
[7]
MOINFAR A,VARAVEI A,SEPEHRNOORI K,et al.Development of a novel and computationally-efficient discrete-fracture model to study IOR processes in naturally fractured reservoirs[R].SPE 154246,2012.
[8]
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.
[9]
KARIMI-FARD M,GONG Bin,DURLOFSKY L J.Generation of coarse-scale continuum flow models from detailed fracture characterizations[J].Water Resources Research,2006,42(10):W10423.
[10]
GONG Bin,KARIMI-FARD M,DURLOFSKY L J.Upscaling discrete fracture characterizations to dual-porosity,dual-permeability models for efficient simulation of flow with strong gravitational effects[J].SPE Journal,2008,13(1):58-67.
[11]
LI Liyong,LEE S H.Efficient field-scale simulation of black oil in a naturally fractured reservoir through discrete fracture networks and homogenized media[J].SPE Reservoir Evaluation & Engineering,2008,11(4):750-758.
[12]
HAJIBEYGI H,KARVOUNIS D,JENNY P.A hierarchical fracture model for the iterative multiscale finite volume method[J].Journal of Computational Physics, 2011,230(24):8729-8743.
WANG Ruyue,DING Wenlong,GONG Dajian,et al.Development characteristics and major controlling factors of shale fractures in the Lower Cambrian Niutitang Formation,southeastern Chongqing-northern Guizhou area[J].Acta Petrolei Sinica,2016,37(7):832-845.
ZHU Rukai,WU Songtao,SU Ling,et al.Problems and future works of porous texture characterization of tight reservoirs in China[J].Acta Petrolei Sinica,2016,37(11):1323-1336.
XUE Yanmei,XIA Dangling,SU Zongfu,et al.Fracture modeling at different scales based on convergent multi-source information[J].Journal of Southwest Petroleum University:Science & Technology Edition,2014,36(2):57-63.
YAN Yongxin,ZHANG Yonghua,CHEN Xiang,et al.The application of micro-seismic technology in fracture monitoring[J].Earth Science Frontiers,2013,20(3):270-274.
LIU Zhenwu,SA Liming,WU Furong,et al.Microseismic monitor technology status for unconventional resource E&P and its future development in CNPC[J].Oil Geophysical Prospecting,2013,48(5):843-853.
HE Wei,MA Shizhong,YUAN Jiangru,et al.Modeling method of the multi-scale and multiple medium unconventional tight oil-reservoir:a case study of the upper reservoir in Lucaogou Formation of Junggar Basin[J].Progress in Geophysics,2017,32(2):618-625.
HUANG Xiaojuan,LI Zhiping,ZHOU Guangliang,et al.Fracture porosity modeling of fractured tight sandstone reservoir:a case study of the reservoir in Member 2 of Xujiahe Formation,Pingluoba structure,Sichuan Basin[J].Acta Petrolei Sinica,2017,38(5):570-577.
YUAN Yingzhong,XIANG Zuping,QI Zhilin,et al.Numerical simulation research of discrete fracture reservoir based on PEBI grid[J].Chinese Journal of Hydrodynamics,2016,31(3):379-386.
[21]
KARIMI-FARD M,DURLOFSKY L J,AZIZ K.An efficient discrete-fracture model applicable for general-purpose reservoir simulators[J].SPE Journal,2004,9(2):227-236.
FANG Wenchao,JIANG Hanqiao,LI Junjian,et al.A numerical simulation model for multi-scale flow in tight oil reservoirs[J].Petroleum Exploration and Development,2017,44(3):415-422.
[23]
袁士义,宋新民,冉启全.裂缝性油藏开发技术[M].北京:石油工业出版社,2004.
YUAN Shiyi,SONG Xinmin,RAN Qiquan.Exploitation technology of fractured reservoirs[M].Beijing:Petroleum Industry Press,2004.
[24]
KAZEMI H,MERRILL JR L S,PORTERFIELD K L,et al.Numerical simulation of water-oil flow in naturally fractured reservoirs[J].Society of Petroleum Engineers Journal,1976,16(6):317-326.
[25]
ZHANG Yongbin,GONG Bin,LI Junchao,et al.Discrete fracture modeling of 3D heterogeneous enhanced coalbed methane recovery with prismatic meshing[J]. Energies,2015,8(6):6153-6176.
[26]
DERSHOWITZ B,LAPOINTE P,EIBEN T,et al.Integration of discrete feature network methods with conventional simulator approaches[J].SPE Reservoir Evaluation & Engineering,1998,3(2):165-170.
[27]
ODA M.Permeability tensor for discontinuous rock masses[J].Geotechnique,1985,35(4):483-495.