Sang Yu , Yi Song , Shouyi Wang , Yongjun Xiao , Junjie Hu , Yiting Wang , Liangping Yi , Zhaozhong Yang
{"title":"孔隙弹性介质中水力裂缝扩展相场模型及水力裂缝与天然裂缝相互作用的数值研究","authors":"Sang Yu , Yi Song , Shouyi Wang , Yongjun Xiao , Junjie Hu , Yiting Wang , Liangping Yi , Zhaozhong Yang","doi":"10.1016/j.petlm.2023.01.003","DOIUrl":null,"url":null,"abstract":"<div><div>A novel numerical model is established to study the hydraulic fracture extend in poroelastic media with natural fractures based on the phase field method. In this new model, the poroelasticity parameter (Biot's coefficient, Biot's modulus, and porosity) of rock is a function of the phase field value. Therefore, a new phase field evolution equation is derived. The finite element numerical discretization method and Newton–Raphson (NR) iterative method are adopted to establish the corresponding numerical solution iterative scheme. The stability and correctness of the model were verified by a series of numerical simulation cases. The fluid pressure within the fracture, the fracture length, and the fracture width calculated by the model that regards the poroelasticity parameter as a constant would be larger, longer, and smaller, respectively, compared with those calculated by the model established in this study. The effect of certain formation factors and engineering factors on the intersection behavior between hydraulic fracture and natural fracture is investigated based on the established model.</div></div>","PeriodicalId":37433,"journal":{"name":"Petroleum","volume":"10 4","pages":"Pages 672-695"},"PeriodicalIF":4.2000,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Novel phase field model of hydraulic fracture propagation in poroelastic media and numerical investigation of interaction between hydraulic fracture and natural fracture\",\"authors\":\"Sang Yu , Yi Song , Shouyi Wang , Yongjun Xiao , Junjie Hu , Yiting Wang , Liangping Yi , Zhaozhong Yang\",\"doi\":\"10.1016/j.petlm.2023.01.003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>A novel numerical model is established to study the hydraulic fracture extend in poroelastic media with natural fractures based on the phase field method. In this new model, the poroelasticity parameter (Biot's coefficient, Biot's modulus, and porosity) of rock is a function of the phase field value. Therefore, a new phase field evolution equation is derived. The finite element numerical discretization method and Newton–Raphson (NR) iterative method are adopted to establish the corresponding numerical solution iterative scheme. The stability and correctness of the model were verified by a series of numerical simulation cases. The fluid pressure within the fracture, the fracture length, and the fracture width calculated by the model that regards the poroelasticity parameter as a constant would be larger, longer, and smaller, respectively, compared with those calculated by the model established in this study. The effect of certain formation factors and engineering factors on the intersection behavior between hydraulic fracture and natural fracture is investigated based on the established model.</div></div>\",\"PeriodicalId\":37433,\"journal\":{\"name\":\"Petroleum\",\"volume\":\"10 4\",\"pages\":\"Pages 672-695\"},\"PeriodicalIF\":4.2000,\"publicationDate\":\"2024-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Petroleum\",\"FirstCategoryId\":\"1087\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2405656123000093\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENERGY & FUELS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Petroleum","FirstCategoryId":"1087","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2405656123000093","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENERGY & FUELS","Score":null,"Total":0}
Novel phase field model of hydraulic fracture propagation in poroelastic media and numerical investigation of interaction between hydraulic fracture and natural fracture
A novel numerical model is established to study the hydraulic fracture extend in poroelastic media with natural fractures based on the phase field method. In this new model, the poroelasticity parameter (Biot's coefficient, Biot's modulus, and porosity) of rock is a function of the phase field value. Therefore, a new phase field evolution equation is derived. The finite element numerical discretization method and Newton–Raphson (NR) iterative method are adopted to establish the corresponding numerical solution iterative scheme. The stability and correctness of the model were verified by a series of numerical simulation cases. The fluid pressure within the fracture, the fracture length, and the fracture width calculated by the model that regards the poroelasticity parameter as a constant would be larger, longer, and smaller, respectively, compared with those calculated by the model established in this study. The effect of certain formation factors and engineering factors on the intersection behavior between hydraulic fracture and natural fracture is investigated based on the established model.
期刊介绍:
Examples of appropriate topical areas that will be considered include the following: 1.comprehensive research on oil and gas reservoir (reservoir geology): -geological basis of oil and gas reservoirs -reservoir geochemistry -reservoir formation mechanism -reservoir identification methods and techniques 2.kinetics of oil and gas basins and analyses of potential oil and gas resources: -fine description factors of hydrocarbon accumulation -mechanism analysis on recovery and dynamic accumulation process -relationship between accumulation factors and the accumulation process -analysis of oil and gas potential resource 3.theories and methods for complex reservoir geophysical prospecting: -geophysical basis of deep geologic structures and background of hydrocarbon occurrence -geophysical prediction of deep and complex reservoirs -physical test analyses and numerical simulations of reservoir rocks -anisotropic medium seismic imaging theory and new technology for multiwave seismic exploration -o theories and methods for reservoir fluid geophysical identification and prediction 4.theories, methods, technology, and design for complex reservoir development: -reservoir percolation theory and application technology -field development theories and methods -theory and technology for enhancing recovery efficiency 5.working liquid for oil and gas wells and reservoir protection technology: -working chemicals and mechanics for oil and gas wells -reservoir protection technology 6.new techniques and technologies for oil and gas drilling and production: -under-balanced drilling/gas drilling -special-track well drilling -cementing and completion of oil and gas wells -engineering safety applications for oil and gas wells -new technology of fracture acidizing