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Branching of hydraulic cracks enabling permeability of gas or oil shale with closed natural fractures
Contributed by Zdeněk P. Bažant, November 21, 2018 (sent for review October 29, 2018; reviewed by Huajian Gao and John Hutchinson)

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Significance
Development of a realistic model of fracking would allow better control. It should make it possible to optimize various parameters such as the history of pumping, its rate or cycles, changes of viscosity, etc. This could lead to an increase of the percentage of gas extraction from the deep shale strata, which currently stands at about 5% and rarely exceeds 15%.
Abstract
While hydraulic fracturing technology, aka fracking (or fraccing, frac), has become highly developed and astonishingly successful, a consistent formulation of the associated fracture mechanics that would not conflict with some observations is still unavailable. It is attempted here. Classical fracture mechanics, as well as current commercial software, predict vertical cracks to propagate without branching from the perforations of the horizontal well casing, which are typically spaced at 10 m or more. However, to explain the gas production rate at the wellhead, the crack spacing would have to be only about 0.1 m, which would increase the overall gas permeability of shale mass about 10,000×. This permeability increase has generally been attributed to a preexisting system of orthogonal natural cracks, whose spacing is about 0.1 m. However, their average age is about 100 million years, and a recent analysis indicated that these cracks must have been completely closed by secondary creep of shale in less than a million years. Here it is considered that the tectonic events that produced the natural cracks in shale must have also created weak layers with nanocracking or microcracking damage. It is numerically demonstrated that seepage forces and a greatly enhanced permeability along the weak layers, with a greatly increased transverse Biot coefficient, must cause the fracking to engender lateral branching and the opening of hydraulic cracks along the weak layers, even if these cracks are initially almost closed. A finite element crack band model, based on a recently developed anisotropic spherocylindrical microplane constitutive law, demonstrates these findings [Rahimi-Aghdam S, et al. (2018) arXiv:1212.11023].
Footnotes
- ↵1To whom correspondence should be addressed. Email: z-bazant{at}northwestern.edu.
Author contributions: S.R.-A. and Z.P.B. designed research and conceived the mathematical model; S.R.-A., V.-T.C., H.L., H.N., W.L., S.K., E.R., H.V., G.S., and Z.P.B. performed research; S.R.-A. analyzed data; and S.R.-A. and Z.P.B. directed the research and wrote the paper.
Reviewers: H.G., Brown University; and J.H., Harvard University.
The authors declare no conflict of interest.
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- Article
- Abstract
- Fluid Flow in Porous Solid, Without or With Cracking Damage
- Equilibrium in Two-Phase Solid and Biot Coefficient
- Two-Phase FE Simulations for a Single Damage Band
- Do the Seepage Forces Suffice to Induce Crack Branching?
- Hydraulic Crack Branching in Two-Phase Porous Solid with Closed Natural Fractures
- Conclusions
- Acknowledgments
- Footnotes
- References
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