A hydraulic fracture height mathematical model considering the influence of plastic region at fracture tip

作     者：LI Yuwei LONG Min TANG Jizhou CHEN Mian FU Xiaofei LI Yuwei;LONG Min;TANG Jizhou;CHEN Mian;FU Xiaofei

作者机构：School of Petroleum EngineeringNortheast Petroleum UniversityDaqing 163318China School of Engineering and Applied SciencesHarvard UniversityCambridge 02138USA School of Petroleum EngineeringChina University of PetroleumBeijing 102249China 

出 版 物：《Petroleum Exploration and Development》 (石油勘探与开发（英文版）)

年 卷 期：2020年第47卷第1期

页      面：184-195页

核心收录：

学科分类：0709[理学-地质学] 0819[工学-矿业工程] 0808[工学-电气工程] 08[工学] 0820[工学-石油与天然气工程] 0818[工学-地质资源与地质工程] 0708[理学-地球物理学] 0807[工学-动力工程及工程热物理] 0815[工学-水利工程] 0816[工学-测绘科学与技术] 0813[工学-建筑学] 082002[工学-油气田开发工程] 0814[工学-土木工程] 

基　　金：Supported by the Natural Science Foundation of Heilongjiang Province of China(YQ2019E007). 

主　　题：hydraulic fracturing fracture height plastic region at fracture tip fracture toughness multi-layered formation with high in-situ stresses 

摘      要：To predict fracture height in hydraulic fracturing, we developed and solved a hydraulic fracture height mathematical model aiming at high stress and multi-layered complex formations based on studying the effect of plastic region generated by stress concentration at fracture tip on the growth of fracture height. Moreover, we compared the results from this model with results from two other fracture height prediction models(MFEH, Frac Pro) to verify the accuracy of the model. Sensitivity analysis by case computation of the model shows that the hydraulic fracture growth in ladder pattern, and the larger the fracture height, the more obvious the ladder growth pattern is. Fracture height growth is mainly influenced by the in-situ stresses. Fracture toughness of rock can prohibit the growth of fracture height to some extent. Moreover, the increase of fracturing fluid density can facilitate the propagation of the lower fracture tip.