胶结型天然裂缝对水力裂缝影响的数值计算模型及机理

doi:10.7623/syxb201911008

石油学报 ›› 2019, Vol. 40 ›› Issue (11): 1376-1387.DOI: 10.7623/syxb201911008

胶结型天然裂缝对水力裂缝影响的数值计算模型及机理

孙博, 周博

中国石油大学(华东)储运与建筑工程学院山东青岛 266580

收稿日期:2019-01-06 修回日期:2019-06-22 出版日期:2019-11-25 发布日期:2019-12-07
通讯作者: 孙博,男,1988年5月生,2011年获中国石油大学(华东)学士学位,现为中国石油大学(华东)储运与建筑工程学院博士研究生,主要从事油气田地下工程力学方面的研究。Email:sunnyboypdan@126.com
作者简介:孙博,男,1988年5月生,2011年获中国石油大学(华东)学士学位,现为中国石油大学(华东)储运与建筑工程学院博士研究生,主要从事油气田地下工程力学方面的研究。Email:sunnyboypdan@126.com
基金资助:
国家科技重大专项（2016ZX05006-003）资助。

Numerical modeling and mechanism analysis of a cemented natural fracture on hydraulic fracture

Sun Bo, Zhou Bo

College of Pipeline and Civil Engineering, China University of Petroleum, Shandong Qingdao 266580, China

Received:2019-01-06 Revised:2019-06-22 Online:2019-11-25 Published:2019-12-07

摘要/Abstract

摘要：

页岩等非常规储层中富含由矿物填充的胶结型天然裂缝，水力裂缝与胶结型天然裂缝间的相互作用机制是控制复杂裂缝网络形成的关键。基于流动-变形耦合的内聚力模型，采用断裂能参数对天然裂缝胶结强度进行简化表征，建立了水力裂缝与胶结型天然裂缝间相互作用的数值模型。通过与单条水力裂缝极限情况渐进解对比，验证了该方法的可行性。在此基础上，研究了地应力、逼近角、胶结强度比以及压裂液黏度和注入速率等因素对水力/天然裂缝相互作用的影响。研究结果表明：水平地应力差与最小水平地应力共同控制着水力裂缝的穿越行为；地应力差相同，最小水平地应力不同，水力裂缝最终几何形态及缝内压力分布可能不同；逼近角越小，水力裂缝越容易转向沿天然裂缝扩展；胶结强度比越大，水力裂缝越不容易转向沿天然裂缝扩展；忽略缝内流体滤失，相同的注入速率和流体黏度的乘积会导致相似的裂缝几何形状及注入点压力变化。裂缝尖端前缘区域形成低孔隙压力区与内聚力区大小有关：内聚力区越小，孔隙压力越低。

关键词: 胶结型天然裂缝, 水力裂缝, 相互作用, 内聚力模型, 流动-变形耦合

Abstract:

Mineral-filled cemented natural fractures are abundantly distributed in unconventional reservoirs such as shale. The interaction mechanism between hydraulic fractures and cemented natural fractures plays a key role in controlling the generation of complex fracture network. Using the cohesive zone model based on flow-deformation coupling, this study establishes the numerical model of the interaction between hydraulic fractures and cemented natural fractures. The cementing strength of natural fracture is simply characterized using the parameter of fracture energy. The feasibility of the proposed method has been verified by comparing with the asymptotic solutions of a single hydraulic fracture propagation model in limiting regimes. Furthermore, this study investigates the effects of in-situ stress, approaching angle, cementing strength ratio, fracturing fluid viscosity, injection rate and other factors on the interaction between hydraulic fracture and natural fracture. Research results show that both the horizontal in-situ stress difference and the minimum horizontal in-situ stress jointly control the crossing behavior of hydraulic fracture. Under the same horizontal in-situ stress difference, different minimum horizontal in-situ stresses may lead to a difference in the final geometries and pressure distribution inside the hydraulic fractures. The less the approaching angle is, the more easily the hydraulic fracture will deflect into the natural fracture. The larger the cementing strength ratio is, the more difficult the hydraulic fracture will turn into the natural fracture. The same product value of the injection rate and fluid viscosity would lead to similar fracture geometry and pressure profiles at the injection point if the internal fluid leak-off is ignored. In addition, the low pore pressure zone in front of the crack tip is relevant to the size of the cohesive zone:the smaller the cohesive zone is, the lower the pore pressure will be.

Key words: cemented natural fracture, hydraulic fracture, interaction, cohesive zone model, flow-deformation coupling

中图分类号:

TE357.1

孙博, 周博. 胶结型天然裂缝对水力裂缝影响的数值计算模型及机理[J]. 石油学报, 2019, 40(11): 1376-1387.

Sun Bo, Zhou Bo. Numerical modeling and mechanism analysis of a cemented natural fracture on hydraulic fracture[J]. Acta Petrolei Sinica, 2019, 40(11): 1376-1387.

参考文献

[1] 张东晓,杨婷云.页岩气开发综述[J].石油学报,2013,34(4):792-801.
ZHANG Dongxiao,YANG Tingyun.An overview of shale-gas production[J].Acta Petrolei Sinica,2013,34(4):792-801.
[2] 杨瑞召,李德伟,庞海玲,等.页岩气压裂微地震监测中的裂缝成像方法[J].天然气工业,2017,37(5):31-37.
YANG Ruizhao,LI Dewei,PANG Hailing,et al.Fracture imaging of the surface based microseismic monitoring in shale gas fracking:methods and application[J].Natural Gas Industry,2017,37(5):31-37.
[3] 刘顺,何衡,赵倩云,等.水力裂缝与天然裂缝交错延伸规律[J].石油学报,2018,39(3):320-326.
LIU Shun,HE Heng,ZHAO Qianyun,et al.Staggered extension laws of hydraulic fracture and natural fracture[J].Acta Petrolei Sinica,2018,39(3):320-326.
[4] 黄小娟,李治平,周光亮,等.裂缝性致密砂岩储层裂缝孔隙度建模——以四川盆地平落坝构造须家河组二段储层为例[J].石油学报,2017,38(5):570-577.
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.
[5] 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.
[6] KAISER P K,VALLEY B,DUSSEAULT M B,et al.Hydraulic fracturing mine back trials-Design rationale and project status[R].ISRM-ICHF 2013-023,2013.
[7] CIPOLLA C L,WARPINSKI N R,MAYERHOFER M J,et al.The relationship between fracture complexity,reservoir properties,and fracture treatment design[R].SPE 115769,2008.
[8] 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 of China University of Petroleum:Edition of Natural Science,2008,32(4):51-54.
[9] 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.
[10] BLANTON T L.Propagation of hydraulically and dynamically induced fractures in naturally fractured reservoirs[R].SPE 15261,1986.
[11] JEFFREY R G,KEAR J,KASPERCZYK D,et al.A 2D experimental method with results for hydraulic fractures crossing discontinuities[R].ARMA 2015-439,2015.
[12] GU Hongren,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.
[13] CHUPRAKOV D,MELCHAEVA O,PRIOUL R.Injection-sensitive mechanics of hydraulic fracture interaction with discontinuities[J].Rock Mechanics and Rock Engineering,2014,47(5):1625-1640.
[14] 孙博,薛世峰,周博.水力裂缝与天然裂缝相互作用与影响[J].科学技术与工程,2016,16(36):13-19.
SUN Bo,XUE Shifeng,ZHOU Bo.The interaction between hydraulic fracture and natural fracture and influencing factors[J].Science Technology and Engineering,2016,16(36):13-19.
[15] WU Kan,OLSON J E.Mechanics analysis of interaction between hydraulic and natural fractures in shale reservoirs[R].URTEC 1922946,2014.
[16] SHI Fang,WANG Xiaolong,LIU Chuang,et al.An XFEM-based method with reduction technique for modeling hydraulic fracture propagation in formations containing frictional natural fractures[J].Engineering Fracture Mechanics,2017,173:64-90.
[17] WHEELER M F,SRINIVASAN S,LEE S,et al.Unconventional reservoir management modeling coupling diffusive zone/phase field fracture modeling and fracture probability maps[R].SPE 193830,2019.
[18] ZHANG F,DONTSOV E,MACK M.Fully coupled simulation of a hydraulic fracture interacting with natural fractures with a hybrid discrete-continuum method[J].International Journal for Numerical and Analytical Methods in Geomechanics,2017,41(13):1430-1452.
[19] LI Y,DENG J G,LIU W,et al.Modeling hydraulic fracture propagation using cohesive zone model equipped with frictional contact capability[J].Computers and Geotechnics, 2017,91:58-70.
[20] BARENBLATT G I.The mathematical theory of equilibrium cracks in brittle fracture[J].Advances in Applied Mechanics, 1962,7:55-129.
[21] DUGDALE D S.Yielding of steel sheets containing slits[J].Journal of the Mechanics and Physics of Solids,1960,8(2):100-104.
[22] SONG S H,PAULINO G H,BUTTLAR W G.A bilinear cohesive zone model tailored for fracture of asphalt concrete considering viscoelastic bulk material[J].Engineering Fracture Mechanics,2006,73(18):2829-2848.
[23] CHANDRA N,LI H,SHET C,et al.Some issues in the application of cohesive zone models for metal-ceramic interfaces[J].International Journal of Solids and Structures,2002,39(10):2827-2855.
[24] FREED Y,BANKS-SILLS L.A new cohesive zone model for mixed mode interface fracture in bimaterials[J].Engineering Fracture Mechanics, 2008,75(15):4583-4593.
[25] ZHU W,YANG L,GUO J W,et al.Determination of interfacial adhesion energies of thermal barrier coatings by compression test combined with a cohesive zone finite element model[J].International Journal of Plasticity,2015,64:76-87.
[26] CHEN Zuorong.Finite element modelling of viscosity-dominated hydraulic fractures[J].Journal of Petroleum Science and Engineering,2012,88-89:136-144.
[27] YAO Yao.Linear elastic and cohesive fracture analysis to model hydraulic fracture in brittle and ductile rocks[J].Rock Mechanics and Rock Engineering,2012,45(3):375-387.
[28] GALE J F W,LAUBACH S E,OLSON J E,et al.Natural fractures in shale:a review and new observations[J].AAPG Bulletin,2014,98(11):2165-2216.
[29] 王秀平,牟传龙,王启宇,等.川南及邻区龙马溪组黑色岩系成岩作用[J].石油学报,2015,36(9):1035-1047.
WANG Xiuping,MOU Chuanlong,WANG Qiyu,et al.Diagenesis of black shale in Longmaxi Formation,southern Sichuan Basin and its periphery[J].Acta Petrolei Sinica,2015,36(9):1035-1047.
[30] 孔令明,万茂霞,严玉霞,等.四川盆地志留系龙马溪组页岩储层成岩作用[J].天然气地球科学,2015,26(8):1547-1555.
KONG Lingming,WAN Maoxia,YAN Yuxia,et al.Reservior diagenesis research of Silurian Longmaxi Formation in Sichuan Basin[J].Natural Gas Geoscience,2015,26(8):1547-1555.
[31] 王超,张柏桥,陆永潮,等.焦石坝地区五峰组-龙马溪组一段页岩岩相展布特征及发育主控因素[J].石油学报,2018,39(6):631-644.
WANG Chao,ZHANG Baiqiao,LU Yongchao,et al.Lithofacies distribution characteristics and main development controlling factors of shale in Wufeng Formation-Member 1 of Longmaxi Formation in Jiaoshiba area[J].Acta Petrolei Sinica,2018,39(6):631-644.
[32] 范存辉,李虎,钟城,等.川东南丁山构造龙马溪组页岩构造裂缝期次及演化模式[J].石油学报,2018,39(4):379-390.
FAN Cunhui,LI Hu,ZHONG Cheng,et al.Tectonic fracture stages and evolution model of Longmaxi Formation shale,Dingshan structure,Southeast Sichuan[J].Acta Petrolei Sinica,2018,39(4):379-390.
[33] 舒逸,陆永潮,刘占红,等.海相页岩中斑脱岩发育特征及对页岩储层品质的影响——以涪陵地区五峰组-龙马溪组一段为例[J].石油学报,2017,38(12):1371-1380.
SHU Yi,LU Yongchao,LIU Zhanhong,et al.Development characteristics of bentonite in marine shale and its effect on shale reservoir quality:a case study of Wufeng Formation to Member 1 of Longmaxi Formation,Fuling area[J].Acta Petrolei Sinica,2017,38(12):1371-1380.
[34] 朱海燕,邓金根,刘书杰,等.定向射孔水力压裂起裂压力的预测模型[J].石油学报,2013,34(3):556-562.
ZHU Haiyan,DENG Jingen,LIU Shujie,et al.A prediction model for the hydraulic fracture initiation pressure in oriented perforation[J].Acta Petrolei Sinica,2013,34(3):556-562.
[35] BATCHELOR G K.An introduction to fluid dynamics[M].Cambridge:Cambridge University Press,2000.
[36] COUSSY O.Poromechanics[M].2nd ed.Chichester:John Wiley & Sons,2004.
[37] GONZALEZ-CHAVEZ M,TALEGHANI A D,OLSON J E.A cohesive model for modeling hydraulic fractures in naturally fractured formations[R].SPE 173384,2015.
[38] DETOURNAY E.Mechanics of hydraulic fractures[J].Annual Review of Fluid Mechanics,2016,48:311-339.
[39] HU J,GARAGASH D I.Plane-strain propagation of a fluid-driven crack in a permeable rock with fracture toughness[J].Journal of Engineering Mechanics,2010,136(9):1152-1166.

胶结型天然裂缝对水力裂缝影响的数值计算模型及机理

Numerical modeling and mechanism analysis of a cemented natural fracture on hydraulic fracture

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