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. | |
发表期刊 | PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES |
2016 | |
卷号 | 374期号:2078页码:20150418 |
ISSN | 1364-503X |
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'. |
关键词 | Hydraulic Fracturing Shale Porous Medium Crack Band Model Fracking |
DOI | 10.1098/rsta.2015.0418 |
URL | 查看原文 |
收录类别 | SCI ; EI |
语种 | 英语 |
WOS记录号 | WOS:000391138300001 |
关键词[WOS] | hydraulic fracturing ; shale ; porous medium ; crack band model ; fracking |
WOS研究方向 | Science & Technology - Other Topics |
WOS类目 | Multidisciplinary Sciences |
项目资助者 | US Department of Energy [37008] ; Los Alamos National Laboratory [37008] ; Institute for Sustainable Energy (ISEN) of Northwestern University [36126] ; ARO grant [W911NF-15-101240] |
论文分区 | 二类 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://dspace.imech.ac.cn/handle/311007/59966 |
专题 | 非线性力学国家重点实验室 |
通讯作者 | Bazant, ZP (reprint author), Northwestern Univ, Dept Civil & Environm Engn, 2145 Sheridan Rd, Evanston, IL 60208 USA. |
推荐引用方式 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,Su YW,&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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