A phase-field model for simulating the propagation behavior of mixed-mode cracks during the hydraulic fracturing process in fractured reservoirs  

作　　者：Dan ZHANG Liangping YI Zhaozhong YANG Jingqiang ZHANG Gang CHEN Ruoyu YANG Xiaogang LI 

机构地区：[1]State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation,Southwest Petroleum University,Chengdu 610500,China [2]State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation,Chengdu University of Technology,Chengdu 610059,China [3]Tarim Oilfield Company,PetroChina,Bayingolin Mongolian Autonomous Prefecture 841000,Xinjiang Uygur Autonomous Region,China [4]Wuqi Oil Production Plant,Shaanxi Yanchang Petroleum,Xi'an 716000,China [5]Exploration Division of PetroChina Southwest Oil and Gasfield Company,Chengdu 610041,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2024年第5期911-930,共20页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.42202314)。

摘　　要：A novel phase-field model for the propagation of mixed-mode hydraulic fractures,characterized by the formation of mixed-mode fractures due to the interactions between fluids and solids,is proposed.In this model,the driving force for the phase field consists of both tensile and shear components,with the fluid contribution primarily manifesting in the tension driving force.The displacement and pressure are solved simultaneously by an implicit method.The numerical solution's iterative format is established by the finite element discretization and Newton-Raphson(NR)iterative methods.The correctness of the model is verified through the uniaxial compression physical experiments on fluid-pressurized rocks,and the limitations of the hydraulic fracture expansion phase-field model,which only considers mode I fractures,are revealed.In addition,the influence of matrix mode II fracture toughness value,natural fracture mode II toughness value,and fracturing fluid injection rate on the hydraulic fracture propagation in porous media with natural fractures is studied.

关 键 词：mixed-mode crack hydraulic fracturing poro-elasticity phase-field method(PFM) 

分 类 号：TE357.1[石油与天然气工程—油气田开发工程]