A fracturing height propagationevaluation method for multi-lithological laminated shale reservoirs based on the characterization of equivalent macroscopic mechanical properties
LIANG Shuang1, 2, YANG Gongchen1, SUN Shuo3*, WANG Di4, WEI Jianguang2, 3, SHEN Anqi1, 2
(1. School of Petroleum Engineering, Northeast Petroleum University, Daqing, Heilongjiang 163318, China; 2. Institute of Unconventional Oil and Gas, Northeast Petroleum University, Daqing, Heilongjiang 163318, China; 3. State Key Laboratory of Continental Shale Oil, Daqing, Heilongjiang 163318, China; 4. Research Institute of Petroleum Exploration and
Development, Sinopec, Beijing 100083, China)
Abstract:To accurately evaluate the fracture height propagation effect in multi-lithology laminated shale reservoirs during hydraulic fracturing, this study proposes an innovative mineral-composition-driven methodology for predicting equivalent macroscopic mechanical properties and enabling multi-parameter synergistic evaluation. First, a representative volume element (RVE) was constructed based on mineral composition. Through calibrated finite element simulations of uniaxial compression experiments, a meso-to-macro scale transition was achieved using periodic boundary conditions, allowing for the prediction and establishment of a quantitative relationship model between equivalent macroscopic mechanical properties and mineral composition. Subsequently, focusing on the shale-limestone interbedded reservoir within the Da?anzhai Formation, an integrated approach incorporating mineral-derived mechanical parameters, in-situ stress parameters, reservoir/interlayer parameters, and construction parameters was developed. The analytic hierarchy process (AHP) was employed to establish a fracture height propagation evaluation index. Parameter sensitivity charts were generated, identifying a critical index value of 0.512 as the penetration threshold for limestone interlayers. Validation was achieved by comparing calculated evaluation indices for Well A?s fracturing stages with field microseismic monitoring results, confirming the method?s accuracy. This research pioneers the integration of mineral mechanics and in-situ stress multi-source parameters for synergistic penetration evaluation, providing an effective tool for assessing and optimizing fracture height propagation in multi-lithology layered shale reservoirs.
[1] 谭 鹏. 多岩性组合层状储层水力裂缝垂向扩展的力学行为研究[博士学位论文][D]. 北京:中国石油大学(北京),2021.(TAN Peng. Mechanical behavior of hydraulic fracture vertical propagation for layered formation with multi-lithology combination[Ph. D. Thesis][D]. Beijing:China University of Petroleum(Beijing),2021.(in Chinese))
[2] 胡宗全,王濡岳,路 菁,等. 陆相页岩及其夹层储集特征对比与差异演化模式[J]. 石油与天然气地质,2023,44(6):1 393–1 404. (HU Zongquan,WANG Ruyue,LU Jing,et al. Storage characteristic comparison of pores between lacustrine shales and their interbeds and differential evolutionary patterns[J]. Oil and Gas Geology,2023,44(6):1 393–1 404.(in Chinese))
[3] 吴 丰,罗莹莹,李昱翰,等. 四川盆地公山庙油田大安寨段湖相灰岩–页岩裂缝特征与测井识别[J]. 地质科技通报,2022,41(5):55–67.(WU Feng,LUO Yingying,LI Yuhan,et al. Fracture characteristics and logging identification of lacustrine limestone-shale reservoirs in Da'anzhai Member,Gongshanmiao Oilfield,Sichuan Basin[J]. Bulletin of Geological Science and Technology,2022,41(5):55–67.(in Chinese))
[4] 祝海华,朱光仪,章海燕,等. 川东北下侏罗统大安寨段岩相特征及页岩油源储评价——以铁山金窝及梁平福禄镇剖面为例[J]. 沉积学报,2025,43(3):1 103–1 115.(ZHU Haihua,ZHU Guangyi,ZHANG Haiyan,et al. Lithofacies characteristics and shale oil source and reservoir evaluation of lower Jurassic Da?anzhai Member in the Northeast Sichuan Basin:Case study from Tieshan Jinwo and Liangping Fuluzhen[J]. Acta Sedimentologica Sinica,2025,43(3):1 103–1 115.(in Chinese))
[5] 金 衍,陈 勉,周 健,等. 岩性突变体对水力裂缝延伸影响的试验研究[J]. 石油学报,2008,(2):300–303.(JIN Yan,CHEN Mian,ZHOU Jian,et al. Experimental study on the effects of salutatory barrier on hydraulic fracture propagation of cement blocks[J]. Acta Petrolei Sinica,2008,(2):300–303.(in Chinese))
[6] 刘志远,陈 勉,金 衍,等. 泥夹层对巨厚砂泥互层储层一体化压裂的影响[J]. 科学技术与工程,2014,14(9):34–38.(LIU Zhiyuan,CHEN Mian,JIN Yan,et al. The effect of argillaceous interlayers on integrative fracturing of sandstone-mudstone interbedding reservoir with huge thickness[J]. Science Technology and Engineering,2014,14(9):34–38.(in Chinese))
[7] XING P J,YOSHIOKA K,ADACHI J,et al. Lattice simulation of laboratory hydraulic fracture containment in layered reservoirs[J]. Computers and Geotechnics,2018,100:62–75.
[8] XIE J Y,HOU B,HE M F,et al. Fracture-controlled fracturing mechanism and penetration discrimination criteria for thin sand-mud interbedded reservoirs in Sulige gas field,Ordos Basin,China[J]. Petroleum Exploration and Development,2024,51(5):1 150–1 159.
[9] EKELEN H A M. Hydraulic fracture geometry: fracture containment in layered formations[J]. Society of Petroleum Engineers Journal,1982,22(3):341–349.
[10] FUNG R L,VIJAYAKUMAR S,CORMACK D E. Calculation of vertical fracture containment in layered formations[J]. SPE Formation Evaluation,1987,518–522.
[11] GU H,SIEBRITS E. Effect of formation modulus contrast on hydraulic fracture height containment[J]. SPE Production and Operations,2008,23(2):170–176.
[12] BIOT M A,MEDLIN W L,MASSE L. Fracture penetration through an interface[J]. Society of Petroleum Engineers Journal,1983,23(6):857–869.
[13] 金 衍,程 万,陈 勉. 页岩气储层压裂数值模拟技术研究进展[J]. 力学与实践,2016,38(1):1–9.(JIN Yan,CHENG Wan,CHEN Mian. A review of numerical simulations of hydro-fracking in shale gas reservoir[J]. Mechanics in Engineering,2016,38(1):1–9.(in Chinese))
[14] 位云生,贾爱林,何东博,等. 中国页岩气与致密气开发特征与开发技术异同[J]. 天然气工业,2017,37(11):43–52.(WEI Yunsheng,JIA Ailin,HE Dongbo,et al. Comparative analysis of development characteristics and technologies between shale gas and tight gas in China[J]. Natural Gas Industry,2017,37(11):43–52.(in Chinese))
[15] LI G S,SHENG M,TIAN S C,et al. Key issues and investigation of horizontal well drilling and multistage fracturing in shale gas reservoir[J]. Chinese Science Bulletin,2016,61(26):2 883–2 890.
[16] CHEN Q,NEZHAD M M,FISHER Q,et al. Multi-scale approach for modeling the transversely isotropic elastic properties of shale considering multi-inclusions and interfacial transition zone[J]. International Journal of Rock Mechanics and Mining Sciences,2016,84:95–104.
[17] ABDALLAH Y,VANDAMME M,CHATEAU C,et al. Linking elastic properties of various carbonate rocks to their microstructure by coupling nan indentation and SEM-EDS[J]. International Journal of Rock Mechanics and Mining Sciences,2023,170:105456.
[18] 刘厚彬,王 爽,杜 爽,等. 页岩压裂储层地应力场动态演化规律研究[J]. 石油钻探技术,2026,54(3):91–99.(LIUHoubin,WANG Shuang,DU Shuang,et al. Dynamic Evolution law of in-situ stress field in fractured shale reservoirs[J]. Petroleum Drilling Techniques,2026,54(3):91–99.(in Chinese))
[19] WANG Z,WANG T H,WANG W Q,et al. Size of representative elementary volume for heterogeneous rocks evaluated using distinct element method[J]. Acta Geotechnica,2023,18:518–522.
[20] GUDMUNDSSON A,SIMMENES T H,LARSEN B,et al. Effects of internal structure and local stresses on fracture propagation,deflection,and arrest in fault zones[J]. Journal of Structural Geology,32(11):1 643–1 655.
[21] 舒志国,舒 逸,陈绵琨,等. 陆相页岩岩相非均质性及储层孔隙发育特征:以四川盆地自流井组东岳庙段页岩为例[J]. 地质科技,2024,43(2):115.(SHU Zhiguo,SHU Yi,CHEN Jinkun,et al. Lithofacies heterogeneity and reservoir pore development characteristics of continental shale:A case study of the Dongyuemiao shale of the Ziliujing Formation in the Sichuan Basin[J]. Bulletin of Geological Science and Technology,2024,43(2):115.(in Chinese))
[22] CLARKSON C R,SOLANO N,BUSTIN R M,et al. Pore structure characterization of North American shale gas reservoirs using USANS/SANS,gas adsorption,and mercury intrusion[J]. Fuel,2013,103(1):606–616.
[23] 王濡岳,胡宗全,赖富强,等. 川东北地区下侏罗统自流井组大安寨段陆相页岩脆性特征及其控制因素[J]. 石油与天然气地质,2023,44(2):366–378.(WANG Ruyue,HU Zongquan,LAI Fuqiang,et al. Brittleness features and controlling factors of continental shale from Da′anzhai Member of the Lower Jurassic Ziliujing Formation,Northeastern Sichuan Basin[J]. Oil and Gas Reservoirs,2023,44(2):366–378.(in Chinese))
[24] YU H,TALEGHANI A D,LIAN Z H. A new look at rock mechanical behavior from the meso-scale grain[J]. Journal of Petroleum Science and Engineering,2021,200:108373.
[25] 陈玉丽,马 勇,潘 飞,等. 多尺度复合材料力学研究进展[J]. 固体力学学报,2018,39(1):1–68.(CHEN Yuli,MA Yong,PAN Fei,et al. Research progress in multi-scale mechanics of composite materials[J]. Chinese Journal of Solid Mechanics,2018,39(1):1–68.(in Chinese))
[26] TIAN W L,QI L H,CHAO X J,et al. Periodic boundary condition and its numerical implementation algorithm for the evaluation of effective mechanical properties of the composites with complicated micro-structures[J]. Composites Part B: Engineering,2019,162:139–149.
[27] 翟 勇,郭雅宁,丁 乙,等. 页岩储集层脆性特征及评价方法[J]. 新疆石油地质,2025,46(1):22–28.(ZAI Yong,GUO Yaning,DING Yi,et al. Shale reservoir brittleness and its evaluation method[J]. Xinjiang Petroleum Geology,2025,46(1):22–28.(in Chinese))
[28] 陈立超,张典坤,肖宇航,等. 页岩微观力学纳米压痕表征及储层可压裂性评价[J]. 煤炭学报,2025,50(3):1 659–1 667.(CHEN Lichao,ZHANG Diankun,XIAO Yuhang,et al. Nanoindentation characterization of shale micromechanics and fracturing ability evaluation of reservoir[J]. Journal of China Coal Society,2025,50(3):1 659–1 667.(in Chinese))
[29] WANG D B,GE H K,WANG X Q,et al. A novel experimental approach for fracability evaluation in tight-gas reservoirs[J]. Journal of Natural Gas Science and Engineering,2015,23:239–249.
[30] WANG M,WILKINS R W T,SONG G Q,et al. Geochemical and geological characteristics of the Es3L lacustrine shale in the Bonan Sag,Bohai Bay Basin,China[J]. International Journal of Coal Geology,2015,138:16–29.
[31] 原 园,姜振学,喻 宸,等. 柴北缘中侏罗统湖相泥页岩储层矿物组成与脆性特征[J]. 高校地质学报,2015,21(1):117–123. (YUAN Yuan,JIANG Zhenxue,YU Chen,et al. Mineral compositions and brittleness of the middle Jurassic lacustrine shale reservoir in Northern Qaidam Basin[J]. Geological Journal of China Universities,2015,21(1):117–123.(in Chinese))
[32] 朱 彤,张 哲,冯动军,等. 梁平福禄镇剖面大安寨段泥页岩地质特征[J]. 油气藏评价与开发,2022,12(1):139–149.(ZHU Tong,ZHANG Zhe,FENG Dongjun,et al. Geological characteristics of mud shale in Da'anzhai section of Fulu Town,Liangping[J]. Petroleum Reservoir Evaluation and Development,2022,12(1):139–149.(in Chinese))
[33] 潘 睿. 薄互层岩石断裂特性研究及在水力压裂中的应用[D]. 北京:中国石油大学(北京),2021.(PAN Rui. Fracture Characteristics of Thin Interbedded Rocks and Its Application in Hydraulic Fracturing[D]. Beijing:China University of Petroleum(Beijing),2021.(in Chinese))
[34] 王汉青,陈军斌,张 杰,等. 基于权重分配的页岩气储层可压性评价新方法[J]. 石油钻探技术,2016,44(3):88–94.(WANG Hanqing,CHEN Junbin,ZHANG Jie,et al. A New Method of Fracability Evaluation of Shale Gas Reservoir Based on Weight Allocation[J]. Petroleum Drilling Techniques,2016,44(3):88–94.(in Chinese))
[35] 索 彧,苏显蘅,何文渊,等. 松辽盆地大情字井地区砂-页复合储层可压性评价[J]. 岩石力学与工程学报,2024,43(9):2 140–2 151. (SUO Yu,SU Xianheng,HE Wenyuan,et al. Fracability evaluation of sandstone-shale interbedded reservoir in Daqingzijing area,Songliao Basin[J]. Chinese Journal of Rock Mechanics and Engineering,2024,43(9):2 140–2 151.(in Chinese))
[36] 张 军. 储层岩石脆性对压裂裂缝起裂延伸的影响机制研究[博士学位论文][D]. 大庆:东北石油大学,2019.(ZHANG Jun. Study on the effect of reservoir rock? brittleness on initiation and propagation mechanism of hydraulic fracture[Doctoral Dissertation][D]. Daqing:Northeast Petroleum University,2019.(in Chinese))
[37] 蒋廷学,肖 博,沈子齐,等. 陆相页岩油气水平井穿层体积压裂技术研究与现场试验[J]. 石油钻探技术,2023,51(5):8–14.(JIANG Tingxue,XIAO Bo,SHEN Zhiqi,et al. Research and application of vertical penetration of network fracturing technology for horizontal wells of continental shale oil and gas play[J]. Petroleum Drilling Techniques,2023,51(5):8–14.(in Chinese))
[38] 张云逸. 页岩油水平井穿层压裂先导性试验——以鄂尔多斯盆地庆城油田华H100平台为例[J]. 中国石油勘探,2023,28(4):92–104. (ZHANG Yunyi. Pilot test of cross-layer fracturing in horizontal shale oil well:A case study of Hua H100 platform in Qingcheng Oilfield[J]. China Petroleum Exploration,2023,28(4):92–104.(in Chinese))
[39] 潘丽燕,阮 东,惠 峰,等. 玛湖凹陷风城组薄互层分层压裂优化方法[J]. 新疆石油地质,2022,43(2):221–226.(PAN Liyan,RUAN Dong,HUI Feng,et al. Methods for separate-layer fracturing optimization of thin interbeds in Fengcheng Formation,Mahu Sag[J]. Xinjiang Petroleum Geology,2022,43(2):221–226.(in Chinese))
[40] 赖富强,罗 涵,覃栋优,等. 基于层次分析法的页岩气储层可压裂性评价研究[J]. 特种油气藏,2018,25(3):154–159.(LAI Fuqiang,LUO Han,TAN Dongyou,et al. Crushability evaluation of shale gas reservoir based on analytic hierarchy process[J]. Special Oil and Gas Reservoirs,2018,25(3):154–159.(in Chinese))