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Universal Scaling Laws of Hydraulic Fracturing
Version 1
: Received: 9 June 2020 / Approved: 11 June 2020 / Online: 11 June 2020 (12:10:13 CEST)
Version 2 : Received: 12 October 2020 / Approved: 13 October 2020 / Online: 13 October 2020 (14:16:33 CEST)
Version 2 : Received: 12 October 2020 / Approved: 13 October 2020 / Online: 13 October 2020 (14:16:33 CEST)
How to cite: Sun, B. Universal Scaling Laws of Hydraulic Fracturing. Preprints 2020, 2020060138. https://doi.org/10.20944/preprints202006.0138.v1 Sun, B. Universal Scaling Laws of Hydraulic Fracturing. Preprints 2020, 2020060138. https://doi.org/10.20944/preprints202006.0138.v1
Abstract
Hydraulic fracturing has been studied by using dimensional analysis. The universal scaling law of the problem has been formulated. From this investigation, it has found that the key control variable in the process is total damage number $J=\frac{p+\frac{1}{2}\rho U^2}{\sigma_Y}$. The crack length is satisfied with the geometric similarity law if no response time is concerned, otherwise, it would not satisfy the similarity.
Keywords
hydraulic fracturing; scaling law; fracture
Subject
Engineering, Civil Engineering
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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