Numerical simulation of multi-cluster fractures propagation in naturally fractured shale reservoir based on finite element method-discrete #br#
fracture network
ZHU Haiyan，HUANG Chuhao，TANG Xuanhe
(State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation，Chengdu University of Technology，
Chengdu，Sichuan 610059，China)
Abstract：To effectively simulate the random propagation of hydraulic fractures and accurately describe the tensile，shear and mixed damage behaviour in naturally fractured shale reservoirs，a finite element method-discrete fracture network model coupled with seepage-stress-damage is established. The viscosity-dominated analytical model is utilized to verify the accuracy of the model. The effect of the approach angle，cluster spacing，horizontal stress difference and pumping rate on multi-cluster fractures propagation is investigated and the interaction mechanism between hydraulic and natural fractures is discussed. The results show that：(1) There are three main interaction mechanisms between hydraulic fracture and natural fracture: crossing through natural fracture，opening natural fracture and arrested by natural fracture；(2) With the increase of the approach angle，the natural fracture is easier to deflect the propagation direction of hydraulic fracture and even prevent the propagation of hydraulic fracture；(3) The increase of cluster spacing，horizontal stress difference and pumping rate can promote the uniform growth of multi-cluster fractures to a certain extent. The model can more accurately describe the propagation behaviour of multi-cluster fractures，and provide a new method for numerical simulation of hydraulic fracturing in naturally fractured shale reservoir.
[1] 雷 群，胥 云，才 博，等. 页岩油气水平井压裂技术进展与展望[J]. 石油勘探与开发，2022，49(1)：166–172.(LEI Qun，XU Yu，CAI Bo，et al. Progress and prospects of horizontal well fracturing technology for shale oil and gas reservoirs[J]. Petroleum Exploration and Development，2022，49(1)：166–172.(in Chinese))
[2] 赵金洲，任 岚，蒋廷学，等. 中国页岩气压裂十年：回顾与展望[J]. 天然气工业，41(8)：121–142.(ZHAO Jinzhou，REN Lan，JIANG Tingxue，et al. Research progress in key mechanical theories of deep shale network fracturing[J]. Natural Gas Industry，2021，41(8)：121–142.(in Chinese))
[3] 郭建春，赵志红，路千里，等. 深层页岩缝网压裂关键力学理论研究进展[J]. 天然气工业，2021，41(1)：102–117.(GUO Jianchun，ZHAO Zhihong，LU Qianli，et al. Research progress in key mechanical theories of deep shale network fracturing[J]. Natural Gas Industry，2021，41(1)：102–117.(in Chinese))
[4] SUN J，GAMBOA E S，DCHECHTER D，et al. An integrated workflow for characterization and simulation of complex fracture networks utilizing microseismic and horizontal core data[J]. Journal of Natural Gas Science and Engineering，2016，34：1 347–1 360.
[5] HUANG N，LIU R，JIAN Y，et al. Shear-flow coupling characteristics of a three-dimensional discrete fracture network-fault model considering stress-induced aperture variations[J]. Journal of Hydrology，2019，571：416–424.
[6] ZHU H，TANG X，SONG Y，et al. An infill well fracturing model and its microseismic events barrier effect: a case in Fuling shale gas reservoir[J]. SPE Journal，2021，26(1)：113–134.
[7] WU K，OLSON J E. Simultaneous multifracture treatments: fully coupled fluid flow and fracture mechanics for horizontal wells[J]. SPE Journal，2014，20(2)：337–346.
[8] TANG H，WANG S，ZHANG R，et al. Analysis of stress interference among multiple hydraulic fractures using a fully three-dimensional displacement discontinuity method[J]. Journal of Petroleum Science and Engineering，2019，179：378–393.
[9] LI J，LIU Y，WU K. A new higher order displacement discontinuity method based on the joint element for analysis of close-spacing planar fractures[J]. SPE Journal，2022，27(2)：1 123–1 139.
[10] 曾青东，姚 军. 水平井多裂缝同步扩展数值模拟[J]. 石油学报，2015，36(12)：1 571–1 579.(ZENG Qingdong，YAO Jun. Numerical simulation of multiple fractures simultaneous propagation in horizontal wells[J]. Acta Petrolei Sinica，2015，36(12)：1 571– 1 579.(in Chinese))
[11] 龚迪光，曲占庆，李建雄，等. 基于ABAQUS平台的水力裂缝扩展有限元模拟研究[J]. 岩土力学，2016，37(5)：1 512–1 520. (GONG Diguang，QU Zhanqing，LI Jianxiong，et al. Extended finite element simulation of hydraulic fracture based on ABAQUS platform[J]. Rock and Soil Mechanics，2016，37(5)：1 512–1 520.(in Chinese))
[12] WANG X，SHI F，LIU C，et al. Extended finite element simulation of fracture network propagation in formation containing frictional and cemented natural fractures[J]. Journal of Natural Gas Science and Engineering，2018，50：309–324.
[13] TALEGHANI A D，GONZALEZ-CHAVEZ M，YU H，et al. Numerical simulation of hydraulic fracture propagation in naturally fractured formations using the cohesive zone model[J]. Journal of Petroleum Science and Engineering，2018，165(8)：42–57.
[14] 李 军，翟文宝，陈朝伟，等. 基于零厚度黏聚力单元的水力裂缝随机扩展方法研究[J]. 岩土力学，2021，42(1)：265–279.(LI Jun，ZHAI Wenbao，CHEN Chaowei，et al. Research on the method of random propagation of hydraulic fracture based on zero-thickness cohesive element[J]. Rock and Soil Mechanics，2021，42(1)：265–279.(in Chinese))
[15] 朱海燕，徐鑫勤，钟安海，等. 深层页岩油水平井密切割裂缝均衡扩展数值模拟——以胜利油田YYP1井为例[J]. 石油与天然气地质，2022，43(1)：229–240.(ZHU Haiyan，XU Xinqin，ZHONG Anhai，et al. Numerical simulation of evenly propagating hydraulic fractures with smaller cluster spacing in the horizontal well YYP1 for deep shale oil in the Shengli Oilfield[J]. Oil and Gas Geology，2022，43(1)：229–240.(in Chinese))
[16] HUANG C，ZHU H，WANG J，et al. A FEM-DFN model for the interaction and propagation of multi-cluster fractures during variable fluid-viscosity injection in layered shale oil reservoir[J]. Petroleum Science，2022，19(6)：2 796–2 809.
[17] 唐煊赫，朱海燕，车明光，等. 裂缝性页岩暂堵压裂复杂裂缝扩展模型与暂堵时机[J]. 石油勘探与开发，2023，50(1)：139–151.(TANG Xuanhe，ZHU Haiyan，CHE Mingguang，et al. Complex fracture propagation model and plugging timing optimization for temporary plugging fracturing in naturally fractured shale[J]. Petroleum Exploration and Development，2023，50(1)：139–151.(in Chinese))
[18] 唐煊赫，朱海燕，李奎东. 基于FEM-DFN 的页岩气储层水力压裂复杂裂缝交错扩展模型[J]. 天然气工业，2023，43(1)：162–176.(TANG Xuanhe，ZHU Haiyan，LI Kuidong. A FEM-DFN-based complex fracture staggered propagation model for hydralic fracturing of shale gas reservoirs[J]. Natural Gas Industry，2023，43(1)：162–176.(in Chinese))
[19] GUO J，LUO B，LU C，et al. Numerical investigation of hydraulic fracture propagation in a layered reservoir using the cohesive zone method[J]. Engineering Fracture Mechanics，2017，186：195–207.
[20] HILLERBORG A，MODÉER M，PETERSSON P E. Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements[J]. Cement and Concrete Research，1976，6(6)：773–781.
[21] IDA Y. Cohesive force across the tip of a longitudinal-shear crack and Griffith's specific surface energy[J]. Journal of Geophysical Research，1972，77(20)：3 796–3 805.
[22] SNOZZI L，MOLINARI J F. A cohesive element model for mixed mode loading with frictional contact capability[J]. International Journal for Numerical Methods in Engineering，2013，93(5)： 510–526.
[23] HUTCHINSON J W，SUO Z. Mixed mode cracking in layered materials[J]. Advances in Applied Mechanics，1991，29：63–191.
[24] CRUMP J，CONWAY M. Effects of perforation-entry friction on bottom hole treating analysis[J]. Journal of Petroleum Technology，1988，40(8)：1 041–1 048.
[25] ZHU H，HUANG C，TANG X，et al. Multi-cluster fractures propagation during temporary plugging fracturing in naturally fractured reservoirs integrated with dynamic perforation erosion[J]. SPE Journal，2023，https://doi.org/10.2118/214666-PA.
[26] CORDERO R A J，MEJIA C，QUEVEDO R，et al. Impacts of natural fractures on hydraulic fracturing treatment in all asymptotic propagation regimes[J]. Computer Methods in Applied Mechanics and Engineering，2020，371：113296.
[27] 霍 建，王星皓，罗 超，等. 川南地区龙马溪组页岩储层裂缝特征[J]. 工程地质学报，2021，29(1)：171–182.(HUO Jian，WANG Xinghao，LUO Chao，et al. Fracture Characteristics of Longmaxi Shale in Southern Sichuan[J]. Journal of Engineering Geology，2021，29(1)：171–182.(in Chinese))
[28] LIU C，LIU H，ZHANG Y，et al. Optimal spacing of staged fracturing in horizontal shale-gas well[J]. Journal of Petroleum Science and Engineering，2015，132：86–93.
[29] WANG X，LIU C，WANG H，et al. Comparison of consecutive and alternate hydraulic fracturing in horizontal wells using XFEM-based cohesive zone method[J]. Journal of Petroleum Science and Engineering，2016，143：14–25.
2023, Vol. 42 
