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Growth model for large branched three-dimensional hydraulic crack system in gas or oil shale
Chau VT; Bazant ZP; Su YW(苏业旺); Bazant, ZP (reprint author), Northwestern Univ, Dept Civil & Environm Engn, 2145 Sheridan Rd, Evanston, IL 60208 USA.
Source PublicationPHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
2016
Volume374Issue:2078Pages:20150418
ISSN1364-503X
AbstractRecent analysis of gas outflow histories at wellheads shows that the hydraulic crack spacing must be of the order of 0.1m (rather than 1m or 10 m). Consequently, the existing models, limited to one or several cracks, are unrealistic. The reality is 10(5)-10(6) almost vertical hydraulic cracks per fracking stage. Here, we study the growth of two intersecting near-orthogonal systems of parallel hydraulic cracks spaced at 0.1 m, preferably following pre-existing rock joints. One key idea is that, to model lateral cracks branching from a primary crack wall, crack pressurization, by viscous Poiseuille-type flow, of compressible (proppant-laden) frac water must be complemented with the pressurization of a sufficient volume of micropores and microcracks by Darcy-type water diffusion into the shale, to generate tension along existing crack walls, overcoming the strength limit of the cohesive-crack or crack-band model. A second key idea is that enforcing the equilibrium of stresses in cracks, pores and water, with the generation of tension in the solid phase, requires a new three-phase medium concept, which is transitional between Biot's two-phase medium and Terzaghi's effective stress and introduces the loading of the solid by pressure gradients of diffusing pore water. A computer program, combining finite elements for deformation and fracture with volume elements for water flow, is developed to validate the new model. This article is part of the themed issue 'Energy and the subsurface'.
KeywordHydraulic Fracturing Shale Porous Medium Crack Band Model Fracking
DOI10.1098/rsta.2015.0418
URL查看原文
Indexed BySCI
Language英语
WOS IDWOS:000391138300001
WOS Keywordhydraulic fracturing ; shale ; porous medium ; crack band model ; fracking
WOS Research AreaScience & Technology - Other Topics
WOS SubjectMultidisciplinary Sciences
Funding OrganizationUS Department of Energy [37008] ; Los Alamos National Laboratory [37008] ; Institute for Sustainable Energy (ISEN) of Northwestern University [36126] ; ARO grant [W911NF-15-101240]
Classification二类
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Cited Times:17[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/59966
Collection非线性力学国家重点实验室
Corresponding AuthorBazant, ZP (reprint author), Northwestern Univ, Dept Civil & Environm Engn, 2145 Sheridan Rd, Evanston, IL 60208 USA.
Recommended Citation
GB/T 7714
Chau VT,Bazant ZP,Su YW,et al. Growth model for large branched three-dimensional hydraulic crack system in gas or oil shale[J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,2016,374(2078):20150418.
APA Chau VT,Bazant ZP,苏业旺,&Bazant, ZP .(2016).Growth model for large branched three-dimensional hydraulic crack system in gas or oil shale.PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,374(2078),20150418.
MLA Chau VT,et al."Growth model for large branched three-dimensional hydraulic crack system in gas or oil shale".PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 374.2078(2016):20150418.
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