Growth model for large branched three-dimensional hydraulic crack system in gas or oil shale

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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)
刊名	PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
	2016
通讯作者邮箱	z-bazant@northwestern.edu
卷号	374 期号:2078 页码:20150418
关键词	hydraulic fracturing shale porous medium crack band model fracking
ISSN号	1364-503X
通讯作者	Bazant, ZP (reprint author), Northwestern Univ, Dept Civil & Environm Engn, 2145 Sheridan Rd, Evanston, IL 60208 USA.
产权排序	[Chau, Viet T.; Bazant, Zdenek P.] Northwestern Univ, Dept Civil & Environm Engn, 2145 Sheridan Rd, Evanston, IL 60208 USA; [Su, Yewang] Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China
中文摘要	Recent 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'.
分类号	二类
类目[WOS]	Multidisciplinary Sciences
研究领域[WOS]	Science & Technology - Other Topics
关键词[WOS]	hydraulic fracturing ; shale ; porous medium ; crack band model ; fracking
收录类别	SCI
原文出处	http://dx.doi.org/10.1098/rsta.2015.0418
语种	英语
WOS记录号	WOS:000391138300001
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/59966]
专题	力学研究所_非线性力学国家重点实验室
推荐引用方式 GB/T 7714	Chau VT,Bazant ZP,Su YW. 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.(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.