|
|
|
| Simulation of supercritical CO2 fracturing based on the cohesive phase-field method |
| YANG Zhaozhong1, LIU Jianping1, YI Liangping2, YI Duo1, WU Zhonghu3, PU Junhong4, ZHU Sitao5 |
(1. Petroleum Engineering School, Southwest Petroleum University, Sichuan Chengdu 610500, China; 2. School of Mechatronic Engineering, Southwest Petroleum University, Sichuan Chengdu 610500, China; 3. College of Civil Engineering, Guizhou
University, Guiyang, Guizhou 550025, China; 4. Development Division of PetroChina Southwest Oil and Gasfield Company,
Chengdu, Sichuan 610066, China; 5. School of Civil and Resource Engineering, Beijing University of Science and
Technology, Beijing 100083, China) |
|
|
|
|
Abstract Considering the heat transfer between the fracturing fluid and the rock, a thermo-hydro-mechanical coupled cohesive phase-field model is proposed to address the dynamic fracture propagation problem in supercritical CO? fracturing. The failure mode of the rock is assumed to be dynamic quasi-brittle fracture, facilitated by the introduction of an inertial term and the traction-separation law. CO? property parameters under varying temperature and pressure conditions are obtained using REFPROP software and integrated with the governing equations for fluid flow and heat transfer through interpolation functions. A two-dimensional numerical model for supercritical CO? fracturing was established to investigate the fracture propagation behavior under different injection rates, viscosities, reservoir horizontal stress differentials, and initial temperatures. The results indicate that: (1) There exists an optimal displacement for supercritical CO? fracturing, maximizing both fracture length and stimulated area; (2) Provided that the wellhead pressure does not exceed the limit, increasing the viscosity of the supercritical CO? fracturing fluid can reduce leak-off and enhance the stimulated reservoir area; (3) The magnitude of the horizontal stress differential has minimal impact on temperature and pressure changes within the formation, yet it significantly influences fracture morphology; (4) The initial temperature of the reservoir primarily affects rock fracture through thermal stress; higher initial temperatures lead to more complex fracture morphologies. By examining the branching patterns of fractures and their fluid pressure responses, the fracturing effects of supercritical CO? under various engineering and geological parameters are elucidated, providing valuable guidance for the design of field supercritical CO? fracturing operations.
|
|
|
|
|
|
[1] 屈小磊,赫建明,陈 杰,等. 页岩水力压裂微裂纹扩展演化试验研究及力学机制分析[J]. 岩石力学与工程学报,2023,42(增1):3 151–3 159.(QU Xiaolei,HAO Jianming,CHEN Jie,et al. Experimental study on micro-crack propagation and mechanical mechanism analysis of hydraulic fracturing in shale[J]. Chinese Journal of Rock Mechanics and Engineering,2023,42(Supp.1):3 151– 3 159.(in Chinese))
[2] WU Z W,CUI C Z,JIA P F,et al. Advances and challenges in hydraulic fracturing of tight reservoirs:A critical review[J]. Energy Geoscience,2022,3(4):427–435.
[3] WU M Y,CHANG X,GUO Y T,et al. Advances,challenges,and opportunities for hydraulic fracturing of deep shale gas reservoirs[J]. Advances in Geo-Energy Research,2025,15(1):1–4.
[4] ZHAO J Z,WU T,PU W F,et al. Application status and research progress of CO2 fracturing fluid in petroleum engineering:A brief review[J]. Petroleum,2024,10(1):1–10.
[5] 王 磊,梁卫国. 超临界CO2/清水压裂煤体起裂和裂缝扩展试验研究[J]. 岩石力学与工程学报,2019,38(增1):2 680–2 689.(WANG Lei,LIANG Weiguo. Experimental study on fracture initiation and growth in coal using hydraulic fracturing with supercritical CO2 and normal water[J]. Chinese Journal of Rock Mechanics and Engineering,2019,38(Supp.1):2 680–2 689.(in Chinese))
[6] RANJITH P G,ZHANG C P,ZHANG Z Y. Experimental study of fracturing behaviour in ultralow permeability formations:a comparison between CO2 and water fracturing[J]. Engineering Fracture Mechanics,2019,217(16):106541.
[7] ZHOU D W,ZHANG G Q,WANG Y Y,et al. Experimental investigation on fracture propagation modes in supercritical carbon dioxide fracturing using acoustic emission monitoring[J]. International Journal of Rock Mechanics and Mining Sciences,2018,110(5):111–119.
[8] 郭武豪,郭印同,常 鑫,等. 实时高温高应力真三轴压裂试验系统研制与应用[J]. 岩石力学与工程学报,2025,44(6):1 539–1 552. (GUO Wuhao,GUO Yintong,CHANG Xin,et al. Development and application of a real-time high-temperature and high-stress true triaxial fracturing test system[J]. Chinese Journal of Rock Mechanics and Engineering,2025,44(6):1 539–1 552.(in Chinese))
[9] 周德华,杨 勇,王运海,等. 超临界二氧化碳混合压裂技术机制及应用——以渤海湾盆地济阳坳陷页岩油为例[J]. 石油与天然气地质,2025,46(2):575–585.(ZHOU Dehua,YANG Yong,WANG Yunhai,et al. Mechanism and application of supercritical carbon dioxide hybrid fracturing:A case study of shale oil in the Jiyang Depression,Bohai Bay Basin[J]. Oil and Gas Geology,2025,46(2):575–585.(in Chinese))
[10] 卢义玉,周军平,鲜学福,等. 超临界CO2强化页岩气开采及地质封存一体化研究进展与展望[J]. 天然气工业,2021,41(6):60–73.(LU Yiyu,ZHOU Junping,XIAN Xuefu,et al. Research progress and prospect of the integrated supercritical CO2 enhanced shale gas recovery and geological equestration[J]. Natural Gas Industry,2021,41(6):60–73.(in Chinese))
[11] 蔡 鑫. 非常规储层超临界CO2压裂复杂裂缝扩展模型[J]. 断块油气田,2022,29(01):107–110.(CAI Xin. Complex fracture propagation model of supercritical CO2 fracturing in unconventional reservoirs[J]. Fault-Block Oil and Gas Field,2022,29(1):107–110.(in Chinese))
[12] 张矿生,齐 银,薛小佳,等. 鄂尔多斯盆地页岩油水平井CO2区域增能体积压裂技术[J]. 石油钻探技术,2023,51(5):15–22. (ZHANG Kuangsheng,QI Yin,XUE Xiaojia,et al. CO2 regional enhanced volumetric fracturing technology for shale oil horizontal wells in Ordos Basin[J]. Petroleum Drilling Techniques,2023,51(5):15–22.(in Chinese))
[13] JIANG C B,JING C,WANG H L,et al. Phase-field simulation of CO2 fracturing crack propagation in thermo-poroelastic media[J]. International Journal of Rock Mechanics and Mining Sciences,2025,187(2):106052.
[14] WU L,HOU Z M,XIE Y C,et al. Fracture initiation and propagation of supercritical carbon dioxide fracturing in calcite-rich shale:a coupled thermal-hydraulic-mechanical-chemical simulation[J]. International Journal of Rock Mechanics and Mining Sciences,2023,167(4):105389.
[15] 李小刚,何建冈,杨兆中,等. 基于离散元法的压裂裂缝特征研究[J]. 油气藏评价与开发,2023,13(3):348–357.(LI Xiaogang,HE Jiangang,YANG Zhaozhong,et al. Fracture characteristics based on discrete element method[J]. Petroleum Reservoir Evaluation and Development,2023,13(3):348–357.(in Chinese))
[16] 李明耀,李绍金,彭 磊,等. 基于相场法的花岗岩弹塑性损伤模型及其细观力学行为研究[J]. 岩石力学与工程学报,2024,43(3):611–622.(LI Mingyao,LI Shaojin,PENG Lei,et al. Study on the mesoscopic fracture behaviors of granite based on the elastoplastic phase–field model[J]. Chinese Journal of Rock Mechanics and Engineering,2024,43(3):611–622.(in Chinese))
[17] YU S,SONG Y,WANG S Y,et al. Novel phase ?eld model of hydraulic fracture propagation in poroelastic media and numerical investigation of interaction between hydraulic fracture and natural fracture[J]. Petroleum,2024,10(4):672–695.
[18] CHEN B,BARBOZA B R,SUN Y N,et al. A review of hydraulic fracturing simulation[J]. Archives of Computational Methods in Engineering,2022,29(4):1–58.
[19] WU J Y. A unified phase-field theory for the mechanics of damage and quasi-brittle failure[J]. Journal of the Mechanics and Physics of Solids,2017,103(6):72–99.
[20] WU J Y. A generalized phase-field cohesive zone model(μPF-CZM) for fracture[J]. Journal of the Mechanics and Physics of Solids,2024,192(11):105841.
[21] BORDEN M J,HUGHES T J R,LANDIS C M,et al. A phase-field formulation for fracture in ductile materials:Finite deformation balance law derivation,plastic degradation,and stress triaxiality effects[J]. Computer Methods in Applied Mechanics and Engineering,2016,312(23):130–166.
[22] LIU J P,YANG Z Z,YI L P,et al. Coupled thermo-hydro-mechanical cohesive phase–field model for hydraulic fracturing in deep coal seams[J]. Applied Mathematics and Mechanics,2025,46(4):663–682.
[23] WU J Y. A geometrically regularized gradient-damage model with energetic equivalence[J]. Computer Methods in Applied Mechanics and Engineering,2018,328(1):612–637.
[24] MIEHE C,WELSCHINGER F,HOFACKER M. Thermodynamically consistent phase–field models of fracture:Variational principles and multi–field FE implementations[J]. International Journal for Numerical Methods in Engineering,2010,83(10):1 273–1 311.
[25] BOURDIN B,FRANCFORT G A,MARIGO J J. Numerical experiments in revisited brittle fracture[J]. Journal of the Mechanics and Physics of Solids,2000,48(4):797–826.
[26] MIEHE C,HOFACKER M,WELSCHINGER F. A phase field model for rate-independent crack propagation:Robust algorithmic implementation based on operator splits[J]. Computer Methods in Applied Mechanics and Engineering,2010,199(45/48):2 765–2 778.
[27] 戴一凡,侯 冰,廖志豪. 基于相场法的深层干热岩储层水力压裂模拟研究[J]. 石油钻探技术,2024,52(2):229–235.(DAI Yifan,HOU Bing,LIAO Zhihao. Simulation of hydraulic fracturing in deep hot dry rock reservoir based on phase-field method[J]. Petroleum Drilling Techniques,2024,52(2):229–235.(in Chinese))
[28] 吕茂淋,朱珍德,周露明,等. 基于相场法的预制双裂隙岩体水力压裂扩展数值模拟研究[J]. 岩土力学,2024,45(6):1 850–1 862. (LV Maolin,ZHU Zhende,ZHOU Luming,et al. Numerical simulation of hydraulic fracture propagation in rock masses with pre-existing double fractures using the phase field method[J]. Rock and Soil Mechanics,2024,45(6):1 850–1 862.(in Chinese))
[29] LIU J P,YANG Z Z,YI L P,et al. Cohesive phase-field model for dynamic fractures in coal seams[J]. International Journal of Mechanical Sciences,2024,282(11):109617.
[30] NGUYEN T T,YVONNET J,ZHU Q Z,et al. A phase field method to simulate crack nucleation and propagation in strongly heterogeneous materials from direct imaging of their microstructure[J]. Engineering Fracture Mechanics,2015,139(10):18–39.
[31] WANG X F,HU S B,WANG E Y. Experimental research and fractal analysis of supercritical CO2 pneumatic fracturing under true triaxial stress[J]. Energy and Fuels,2023,37(16):12 113–12 122.
[32] YI D,YI L P,YANG Z Z,et al. Coupled thermo-hydro-mechanical-phase field modelling for hydraulic fracturing in thermo-poroelastic media[J]. Computers and Geotechnics,2024,166(1):105949.
[33] 张建智,吴文涛,张 婷. 岩石I,II型单裂纹破坏前兆过程与短临预报模型研究[J]. 岩石力学与工程学报,2026,待刊.(ZHANG Jianzhi,WU Wentao,ZHANG Ting,et al. Precursory processes and short-term forecasting model of mode I and mode II single-crack failure in rocks[J]. Chinese Journal of Rock Mechanics and Engineering,2026,to be Pressed.(in Chinese)) |
|
|
|