[1] Gas Research Institute.Advanced stimulation technical description, GRI-95/0258:multiple hydraulic fractures[M].1995. [2] Mahrer K D.A review and perspective on far-field hydraulic fracture geometry studies[J].Journal of Petroleum Science and Engineering, 1999, 24(1):13-28. [3] McDaniel B W, McMechan D E, Stegent N A.Proper use of proppant slugs and viscous gel slugs can improve proppant placement during hydraulic fracturing applications[J].2001, SPE 71661:1-16. [4] Warpinski N R, Teufel L W.Influence of geologic discontinuities on hydraulic fracture propagation(includes associated papers 17011 and 17074)[J].Journal of Petroleum Technology, 1987, 39(2):209-220. [5] Teufel L W, Clark J A.Hydraulic fracture propagation in layered rock:experimental studies of fracture containment[J].SPE Journal, 1984, 24(1):19-32. [6] Urbancic T I, Maxwell S C.Microseismic imaging of fracture behavior in naturally fractured reservoirs[J].2002, SPE 78229:1-7. [7] Fisher M K, Wright C A, Davidson B M, et al.Integrating fracture mapping technologies to improve stimulations in the Barnett Shale[J].SPE Production & Facilities, 2005, 20(2):85-93. [8] Fisher M K, Heinze J R, Harris C D, et al.Optimizing horizontal completions in the Barnett shale with microseismic fracture mapping[J].Journal of Petroleum Technology, 2005, 57(3):41-42. [9] 吴奇, 胥云, 王晓泉, 等.非常规油气藏体积改造技术——内涵、优化设计与实现[J].石油勘探与开发, 2012, 39(3):352-357. Wu Qi, Xu Yun, Wang Xiaoquan, et al.Volume fracturing technology of unconventional reservoirs:connotation, optimization design and implementation[J].Petroleum Exploration and Development, 2012, 39(3):352-357. [10] Gu H, Weng X, Lund J B, et al.Hydraulic fracture crossing natural fracture at nonorthogonal angles:a criterion and its validation[J].SPE Production & Operations, 2012, 27(1):20-26. [11] Dahi-Taleghani A.Analysis of hydraulic fracture propagation in fractured reservoirs:An improved model for the interaction between induced and natural fractures[D].Austin:University of Texas at Austin, 2009. [12] Lamont N, Jessen F W.The effects of existing fractures in rocks on the extension of hydraulic fractures[J].Journal of Petroleum Technology, 1963, 15(2):203-209. [13] Daneshy A A.Hydraulic fracture propagation in the presence of planes of weakness[J].1974, SPE 4852:1-8. [14] Anderson G D.Effects of friction on hydraulic fracture growth near unbonded interfaces in rocks[J].SPE Journal, 1981, 21(1):21-29. [15] Blanton T L.An experimental study of interaction between hydraulically induced and pre-existing fractures[J].1982, SPE/DOE10847:559-561. [16] Warpinski N R.Hydraulic fracturing in tight, fissured media[J].Journal of Petroleum Technology, 1991, 43(2):146-151. [17] Olson J E, Bahorich B, Holder J.Examining hydraulic fracture:natural fracture interaction in hydrostone block experiments[J].2012, SPE 152618:1-10. [18] Chitrala Y, Moreno C, Sondergeld C, et al.An experimental investigation into hydraulic fracture propagation under different applied stresses in tight sands using acoustic emissions[J].Journal of Petroleum Science and Engineering, 2013, 108:151-161. [19] Renard F, Bernard D, Desrues J, et al.3D imaging of fracture propagation using synchrotron X-ray microtomography[J].Earth and Planetary Science Letters, 2009, 286(1):285-291. [20] 赵益忠, 曲连忠, 王幸尊, 等.不同岩性地层水力压裂裂缝扩展规律的模拟实验[J].中国石油大学学报(自然科学版), 2007, 31(3):63-66. Zhao Yizhong, Qu Lianzhong, Wang Xingzun, et al.Simulation experiment on prolongation law of hydraulic fracture for different lithologic formations[J].Journal of China University of Petroleum, 2007, 31(3):63-66. [21] 陈勉, 庞飞, 金衍.大尺寸真三轴水力压裂模拟与分析[J].岩石力学与工程学报, 2000, 19(增):868-872. Chen Mian, Pang Fei, Jin Yan.Experiments and analysis on hydraulic fracturing by a large-size triaxial simulator[J].Chinese Journal of Rock Mechanics and Engineering, 2000, 19(S):868-872. [22] 周健, 陈勉, 金衍, 等.多裂缝储层水力裂缝扩展机理试验[J].中国石油大学学报:自然科学版, 2008, 32(4):51-54. Zhou Jian, Chen Mian, Jin Yan, et al.Experiment of propagation mechanism of hydraulic fracture in multi-fracture reservoir[J].Journal ofChina University of Petroleum(Edition of Natural Science), 2008, 32(4):51-54. [23] 周健, 陈勉, 金衍, 等.裂缝性储层水力裂缝扩展机理试验研究[J].石油学报, 2007, 28(5):109-113. Zhou Jian, Chen Mian, Jin Yan, et al.Experimental study on propagation mechanism of hydraulic fracture in naturally fractured reservoir[J].Acta Petrolei Sinica, 2007, 28(5):109-113. [24] 陈勉, 周健, 金衍, 等.随机裂缝性储层压裂特征实验研究[J].石油学报, 2008, 29(3):431-434. Chen Mian, Zhou Jian, Jin Yan, et al.Experimental study on fracturing features in naturally fractured reservoir[J].Acta Petrolei Sinica, 2008, 29(3):431-434. [25] 姚飞, 陈勉, 吴晓东, 等.天然裂缝性地层水力裂缝延伸物理模拟研究[J].石油钻采工艺, 2008, 30(3):83-86. Yao Fei, Chen Mian, Wu Xiaodong, et al.Physical simulation of hydraulic fracture propagation in naturally formations[J].Oil Drilling & Production Technology, 2008, 30(3):83-86. [26] 周健, 陈勉, 金衍, 等.压裂中天然裂缝剪切破坏机制研究[J].岩石力学与工程学报, 2008, 27(增1):2637-2641. Zhou Jian, Chen Mian, Jin Yan, et al.Mechanism study of shearing slippage damage of natural fractue in hydraulic fracturing[J].2008, 27(S1):2637-2641. [27] Zhou Jian, Xue Chengjin.Experimental investigation of fracture interaction between natural fractures and hydraulic fracture in naturally fractured reservoirs[J].2011, SPE 142890:1-12. [28] Zhou Jian, Chen Mian, Jin Yan, et al.Analysis of fracture propagation behavior and fracture geometry using a tri-axial fracturing system in naturally fractured reservoirs[J].International Journal of Rock Mechanics and Mining Sciences, 2008, 45(7):1143-1152. [29] 程万, 金衍, 陈勉, 等.三维空间中水力裂缝穿透天然裂缝的判别准则[J].石油勘探与开发, 2014, 41(2):1-6. Cheng Wan, Jin Yan, Chen Mian, et al.A criterion for identifying hydraulic fractures crossing natural fractures in 3D space[J].Petroleum Exploration and Development, 2014, 41(2):1-6. [30] Guo Tiankui, Zhang Shicheng, Qu Zhanqing, et al.Experimental study of hydraulic fracturing for shale by stimulated reservoir volume[J].Fuel, 2014, 128:373-380. [31] Blanton T L.Propagation of hydraulically and dynamically induced fractures in naturally fractured reservoirs[J].1986, SPE 15261:613-627. [32] 任岚.裂缝性油气藏缝网压裂机理研究[D].成都:西南石油大学, 2011. Ren Lan.Mechanism of fracture-network fracturing for naturally fractured reservoirs[D].Chengdu:Petroleum Engineering, Southwest Petroleum University, 2011. [33] 翁定为, 雷群, 胥云, 等.缝网压裂技术及其现场应用[J].石油学报, 2011, 32(2):280-284. Weng Dingwei, Lei Qun, Xu Yun, et al.Network fracturing techniques and its application in the field[J].Acta Petrolei Sinica, 2011, 32(2):280-284. [34] Hossain M M, Rahman M K, Rahman S S.A shear dilation stimulation model for production enhancement from naturally fractured reservoirs[J].SPE Journal, 2002, 7(2):183-195. [35] Olson J E, Taleghani A D.Modeling simultaneous growth of multiple hydraulic fractures and their interaction with natural fractures[J].2009, SPE 119739:1-7. [36] Renshaw C E, Pollard D D.An experimentally verified criterion for propagation across unbounded frictional interfaces in brittle, linear elastic materials[J].International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1995, 32(3):237-249. [37] Gu H, Weng X.Criterion for fractures crossing frictional interfaces at non-orthogonal angles[J].2010, ARMA 10-198:1-6. [38] 李世愚, 和泰名, 尹祥础, 等.岩石断裂力学导论[M].合肥:中国科学技术大学出版社, 2010. Li Shiyu, He Taiming, Yin Xiangchu, et al., Introduction of rock fracture mechanics[M].Hefei:Press of University of Science and Technology of China, 2010. [39] Keshavarzi R, Mohammadi S.A new approach for numerical modeling of hydraulic fracture propagation in naturally fractured reservoirs[J].2012, SPE 152509:1-12. [40] Mohammadi, S.Extended finite element method for fracture analysis of structure[M].UK:Blackwell Publishing, 2008. [41] Xu W, Thiercelin M J, Walton I C.Characterization of hydraulically-induced shale fracture network using an analytical/semi-analytical model[J].2009, SPE124697:1-7. [42] Xu W, Le Calvez J H, Thiercelin M J.Characterization of hydraulically-induced fracture network using treatment and microseismic data in a tight-gas sand formation:a geomechanical approach[J].2009, SPE 125237:1-5. [43] Xu W, Thiercelin M J, Ganguly U, et al.Wiremesh:a novel shale fracturing simulator[J].2010, SPE 132218:1-6. [44] Meyer B R, Bazan L W.A discrete fracture network model for hydraulically induced fractures-theory parametric and case studies[J].2011, SPE 140514:1-36. [45] Potluri N K.Effect of a natural fracture on hydraulic fracture propagation[D].Austin:University of Texas at Austin, 2004. [46] 赵金洲, 任岚, 胡永全, 等.裂缝性地层水力裂缝非平面延伸模拟[J].西南石油大学学报(自然科学版), 2012, 34(4):174-180. Zhao Jinzhou, Ren Lan, Hu Yongquan, et al.Numerical simulation on non-planar propagation of hydraulic fracture in naturally fractured formations[J].Journal of Southwest Petroleum University:Science & Technology Edition, 2012, 34(4):174-180. [47] Kresse O, Weng X, Wu R, et al.Numerical modeling of hydraulic fractures interaction in complex naturally fractured formations[J].2012, ARMA2012-292:1-11. [48] Kresse O, Weng X, Gu H, et al.Numerical modeling of hydraulic fractures interaction in complex naturally fractured formations[J].Rock Mechanics and Rock Engineering, 2013, 46(3):555-568. [49] Kresse O, Wu R, Weng X, et al.Modeling of interaction of hydraulic fractures in complex fracture networks[C]//AGU Fall Meeting Abstracts.2011, 1:8. [50] Wu R, Kresse O, Weng X, et al.Modeling of interaction of hydraulic fractures in complex fracture networks[J].2012, SPE 152052:1-14. [51] Kresse O, Cohen C, Weng X, et al.Numerical modeling of hydraulic fracturing in naturally fractured formations[J].2011, ARMA11-363:1-11. [52] Weng X, Kresse O, Cohen C E, et al.Modeling of hydraulic-fracture-network propagation in a naturally fractured formation[J].SPE Production & Operations, 2011, 26(4):368-380. [53] Zhang Z, Ghassemi A.Simulation of hydraulic fracture propagation near a natural fracture using virtual multidimensional internal bonds[J].International Journal for Numerical and Analytical Methods in Geomechanics, 2011, 35(4):480-495. [54] Moes N, Dolbow J, Belytschko T.A finite element method for crack growth without remeshing[J].International Journal for Numerical Methods in Engineering, 1999, 46:131-150. [55] Duax C, Moes N, Dolbow J, et al.Arbitrary branched and intersecting cracks with the extended finite element method[J].International Journal for Numerical Methods in Engineering, 2000, 48(12):1741-1760. [56] 李录贤, 王铁军.扩展有限元法(XFEM)及其应用[J].力学进展, 2005, 35(1):5-20. Li Luxian, Wang Tiejun.The extended finite element method and its applications:a Review[J].Advances in Mechanics, 2005, 35(1):5-20. [57] 庄茁, 柳占立, 成斌斌, 等.扩展有限单元法[M].北京:清华大学出版社, 2012. Zhuang Zhuo, Liu Zhanli, Cheng Binbin, et al.Extended finite element method[M].Beijing:Tsinghua University Press, 2012. [58] Pommier S, Gravouil A, Moes N, et al.Extended finite element me-thod for crack propagation[M].Hoboken:John Wiley & Sons, 2013. [59] Sukumar N, Prévost J H.Modeling quasi-static crack growth with the extended finite element method Part Ⅰ:computer implementation[J].International Journal of Solids and Structures, 2003, 40(26):7513-7537. [60] Huang R, Sukumar N, Prévost J H.Modeling quasi-static crack growth with the extended finite element method Part Ⅱ:numerical applications[J].International Journal of Solids and Structures, 2003, 40(26):7539-7552. [61] 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. [62] Keshavarzi R, Jahanbakhshi R.Investigation of Hydraulic and Natural Fracture Interaction:Numerical Modeling or Artificial Intelligence[C]//Bunger A P, McLennan J, Jeffrey R, eds.Effective and sustainable hydraulic fracturing.Croatia:Intech, 2013:1039-1057. [63] Gordeliy E, Peirce A.Coupling schemes for modeling hydraulic fracture propagation using the XFEM[J].Computer Methods in Applied Mechanics and Engineering, 2013, 253:305-322. [64] Mohammadnejad T, Khoei A R.An extended finite element method for hydraulic fracture propagation in deformable porous media with the cohesive crack model[J].Finite Elements in Analysis and Design, 2013, 73:77-95. [65] Chen Z.An ABAQUS implementation of the XFEM for hydraulic fracture problems[C]//Bunger A P, McLennan J, Jeffrey R, eds.Effective and sustainable hydraulic fracturing.Croatia:Intech, 2013:725-739. [66] Chen Z.Finite element modelling of viscosity-dominated hydraulic fractures[J].Journal of Petroleum Science and Engineering, 2012, 88-89:136-144. [67] Lamb A R.Coupled deformation, fluid flow and fracture propagation in porous media[D].London:Imperial College, 2011. [68] Lamb A R, Gorman G J, Gosselin O R, et al.Coupled deformation and fluid flow in fractured porous media using dual permeability and explicitly defined fracture geometry[J].2010, SPE 131725:1-15. [69] Lamb A R, Gorman G J, Elsworth D.A fracture mapping and extended finite element scheme for coupled deformation and fluid flow in fractured porous media[J].International Journal for Numerical and Analytical Methods in Geomechanics, 2013, 37(17):2916-2936. [70] Cuevas N H.Electrokinetic coupling in hydraulic fracture propagation[D].Berkeley:University of California, 2009. [71] 倪春中, 刘春学, 张世涛.从岩石露头裂隙迹线估算裂隙三维空间方向[J].石油与天然气地质, 2013, 34(1):102-105. Ni Chunzhong, Liu Chunxue, Zhang Shitao.Estimation of three-dimensional distribution of fissures according to fissure traces on outcrops[J].Oil & Gas Geology, 2013, 34(1):102-105. [72] 倪春中, 刘春学, 张世涛, 等.基于体视学技术的二维数据模拟三维裂隙网络[J].石油与天然气地质, 2014, 35(1):148-152. Ni Chunzhong, Liu Chunxue, Zhang Shitao, et al.Stereology-based simulation of 3D fracture network with 2D data[J].Oil & Gas Geology, 2014, 35(1):148-152. [73] 杨勉, 徐梓洋, 杨柏松, 等.贝尔凹陷基岩潜山致密储层裂缝分布预测[J].石油与天然气地质, 2014, 35(2):253-257. Yang Mian, Xu Ziyang, Yang Baisong, et al.Fracture prediction of bedrock buried hill tight reservoirs in Beier Depression[J].Oil & Gas Geology, 2014, 35(2):253-257. [74] 罗小龙, 汤良杰.塔里木盆地雅克拉断凸古构造应力场数值模拟[J].石油与天然气地质, 2013, 34(6):841-846. Luo Xiaolong, Tang Liangjie.Numerical simulation of palaeotectonic stress field in Yakela faulted salient, the Tarim Basin[J].Oil & Gas Geology, 2013, 34(6):841-846. [75] 苟波, 郭建春.基于精细地质模型的大型压裂裂缝参数优化[J].石油与天然气地质, 2013, 34(6):809-815. Gou Bo, Guo Jianchun.Fracture parameter optimization of large hydraulic fracturing based on the fine geological model[J].Oil & Gas Geology, 2013, 34(6):809-815. [76] 苏建政, 黄志文, 龙秋莲, 等.基于ANSYS软件的降低破裂压力机理模拟[J].石油与天然气地质, 2012, 33(4):640-645. Su Jianzheng, Huang Zhiwen, Long Qiulian, et al.ANSYS-based simulation of fracturing pressure reducing mechanism[J].Oil & Gas Geology, 2012, 33(4):640-645. |