CHEN Jun-bin, WEI Bo, XIE Qing, WANG Han-qing, LI Tao-tao, WANG Hao. Simulation of Multi-Hydrofracture Horizontal Wells in Shale Based on the Extended Finite Element Method[J]. Applied Mathematics and Mechanics, 2016, 37(1): 73-83. doi: 10.3879/j.issn.1000-0887.2016.01.006
Citation: CHEN Jun-bin, WEI Bo, XIE Qing, WANG Han-qing, LI Tao-tao, WANG Hao. Simulation of Multi-Hydrofracture Horizontal Wells in Shale Based on the Extended Finite Element Method[J]. Applied Mathematics and Mechanics, 2016, 37(1): 73-83. doi: 10.3879/j.issn.1000-0887.2016.01.006

Simulation of Multi-Hydrofracture Horizontal Wells in Shale Based on the Extended Finite Element Method

doi: 10.3879/j.issn.1000-0887.2016.01.006
Funds:  The National Natural Science Foundation of China((51374170)
  • Received Date: 2015-07-08
  • Rev Recd Date: 2015-10-09
  • Publish Date: 2016-01-16
  • The cluster spacing optimization of segmented multi-cluster hydrofracture of horizontal wells makes a key point for the hydrofracturing technology in shale reservoir. The fluid-solid coupling mathematical model for the horizontal well hydrofracture was established. Based on the extended finite element method, the propagation process of multiple cracks was simulated. The turning law of simultaneously propagating multiple cracks, as well as the relationships between the stress interference, horizontal principal stress difference, fracture spacing and the crack turning angle, were studied. The results show that the stress interference has restrictive effects on the crack width, and the opening width of 1 single crack is 1.3 times that of 2 concomitant cracks. The crack turning angle increases with the decrease of the stress difference and the lengthening of the fracturing time. The smaller the cluster spacing is, the stronger the stress interference is and the greater the crack turning angle is. For the sake of uniform propagation of the primary fracture, easy packing of the proppant and effective formation of the complex crack network, the optimal cluster spacing is determined as 30 m to 40 m. In the case of the multiple simultaneously propagating cracks, the middle cracks are restricted by those on both sides. The smaller the cluster spacing is, the stronger the restriction is, which results in a longer time of crack development and a lower propagation rate.
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  • [1]
    姚军, 孙海, 黄朝琴, 张磊, 曾青冬, 隋宏光, 樊冬艳. 页岩气藏开发中的关键力学问题[J]. 中国科学: 物理学 力学 天文学, 2013,43(12): 1527-1547.(YAO Jun, SUN Hai, HUANG Zhao-qin, ZHANG Lei, ZENG Qing-dong, SUI Hong-guang, FAN Dong-yan. Key mechanical problems in the development of shale gas reservoirs[J]. Scientia Sinica: Physica, Mechanica & Astronomica,2013,43(12): 1527-1547.(in Chinese))
    [2]
    赵金洲, 王松, 李勇明. 页岩气藏压裂改造难点与技术关键[J]. 天然气工业, 2012,32(4): 46-49, 122.(ZHAO Jin-zhou, WANG Song, LI Yong-ming. Difficulties and key techniques in the fracturing treatment of shale gas reservoirs[J]. Natural Gas Industry,2012,32(4): 46-49, 122.(in Chinese))
    [3]
    姚同玉, 黄延章, 李继山. 页岩中页岩气渗流系数计算模型[J]. 应用数学和力学, 2014,35(8): 983-948.(YAO Tong-yu, HUANG Yan-zhang, LI Ji-shan. Calculation model for the permeability coefficient of shale gas in shale matrix[J]. Applied Mathematics and Mechanics,2014,35(8): 983-948.(in Chinese))
    [4]
    郭建春, 尹建, 赵志红. 裂缝干扰下页岩储层压裂形成复杂裂缝可行性[J]. 岩石力学与工程学报,2014,33(8): 1589-1596.(GUO Jian-chun, YIN Jian, ZHAO Zhi-hong. Feasibility of formation of complex fractures under cracks interference in shale reservoir fracturing[J]. Chinese Journal of Rock Mechanics and Engineering,2014,33(8): 1589-1596.(in Chinese))
    [5]
    Roussel N P, Sharma M M. Strategies to minimize frac spacing and stimulate natural fractures in horizontal completions[C]// SPE Annual Technical Conference and Exhibition.Society of Petroleum Engineers. Denver, Colorado, USA, 2011. doi: org/10.2118/146104-MS.
    [6]
    Dahi-Taleghani A, Olson J E. Numerical modeling of multistranded-hydraulic-fracture propagation: accounting for the interaction between induced and natural fractures[J]. SPE Journal,2011,16(3): 575-581.
    [7]
    Castonguay S T, Mear M E, Dean R H, Schmidt J H. Predictions of the growth of multiple interacting hydraulic fractures in three dimensions[C]// SPE Annual Technical Conference and Exhibition.Society of Petroleum Engineers. New Orleans, Louisiana, USA, 2013.
    [8]
    Wu K, Olson J E. Simultaneous multifracture treatments: fully coupled fluid flow and fracture mechanics for horizontal wells[J].SPE Journal,2015,20(2): 337-346.
    [9]
    Fries T P, Baydoun M. Crack propagation with the extended finite element method and a hybrid explicit-implicit crack description[J].International Journal for Numerical Methods in Engineering,2012,89(12): 1527-1558.
    [10]
    Arlanoglu C, Feng Y, Podnos E, Becker E, Gray K E. Finite element studies of wellbore strengthening[C]//IADC/SPE Drilling Conference and Exhibition.Society of Petroleum Engineers. Fort Worth, Texas, USA, 2014.
    [11]
    Fries T P, Belytschko T. The extended/generalized finite element method: an overview of the method and its applications[J].International Journal for Numerical Methods in Engineering,2010,84(3): 253-304.
    [12]
    Keshavarzi R, Mohammadi S. A new approach for numerical modeling of hydraulic fracture propagation in naturally fractured reservoirs[C]// Proceedings of SPE/EAGE European Unconventional Resources Conference & Exhibition—From Potential to Prodution.Vienna, Austria, 2012.
    [13]
    CHEN Zuo-rong. An ABAQUS implementation of the XFEM for hydraulic fracture problems[C]//ISRM International Conference for Effective and Sustainable Hydraulic Fracturing.International Society for Rock Mechanics. Brisbane, Australia, 2013.
    [14]
    曾青冬, 姚军. 基于扩展有限元的页岩水力压裂数值模拟[J]. 应用数学和力学, 2014,35(11): 1239-1248.(ZENG Qing-dong, YAO Jun. Numerical simulation of shale hydraulic fracturing based on the extended finite element method[J]. Applied Mathematics and Mechanics,2014,35(11): 1239-1248.(in Chinese))
    [15]
    Sepehri J, Soliman M Y, Morse S M. Application of extended finite element method to simulate hydraulic fracture propagation from oriented perforations[C]// SPE Hydraulic Fracturing Technology Conference.Society of Petroleum Engineers. The Woodlands, Texas, USA, 2015.
    [16]
    Weber N, Siebert P, Willbrand K W, Feinendegen M, Clauser C, Fries T P. The XFEM with an explicit-implicit crack description for hydraulic fracture problems[C]//ISRM International Conference for Effective and Sustainable Hydraulic Fracturing.International Society for Rock Mechanics. Brisbane, Australia, 2013.
    [17]
    Geersma J, Klerk F D. A rapid method of predicting width and extent of hydraulically induced fractures[J]. Journal of Petroleum Technology,1969,21(12): 1571-1581.
    [18]
    Olson J E, Dahi-Taleghani A. Modeling simultaneous growth of multiple hydraulic fractures and their interaction with natural fractures[C]// SPE Hydraulic Fracturing Technology Conference.Society of Petroleum Engineers. The Woodlands, Texas, USA, 2009.
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