Tsai, Victor C. and Rice, James R. (2012) Modeling Turbulent Hydraulic Fracture Near a Free Surface. Journal of Applied Mechanics, 79 (3). Art. No. 031003. ISSN 0021-8936. doi:10.1115/1.4005879. https://resolver.caltech.edu/CaltechAUTHORS:20120523-104717621
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Abstract
Motivated by observations of the subglacial drainage of water, we consider a hydraulic fracture problem in which the crack grows parallel to a free surface, subject to fully turbulent fluid flow. Using a hybrid Chebyshev/series-minimization numerical approach, we solve for the pressure profile, crack opening displacement, and crack growth rate for a crack that begins relatively short but eventually becomes long compared with the distance to the free surface. We plot nondimensionalized results for a variety of different times, corresponding with different fracture lengths, and find substantial differences when free-surface effects are important.
| Item Type: | Article | |||||||||
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| Additional Information: | © 2012 ASME. Received 19 September 2011; revised 11 January 2012; accepted manuscript posted 6 February 2012; published 4 April 2012. This research was supported by National Science Foundation OPP Grant No. ANT-0739444 to Harvard University and a Mendenhall Postdoctoral Fellowship of the United States Geological Survey to VCT. | |||||||||
| Group: | Seismological Laboratory | |||||||||
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| Issue or Number: | 3 | |||||||||
| DOI: | 10.1115/1.4005879 | |||||||||
| Record Number: | CaltechAUTHORS:20120523-104717621 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20120523-104717621 | |||||||||
| Official Citation: | Modeling Turbulent Hydraulic Fracture Near a Free Surface Victor C. Tsai and James R. Rice, J. Appl. Mech. 79, 031003 (2012), DOI:10.1115/1.4005879 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 31612 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 23 May 2012 22:27 | |||||||||
| Last Modified: | 09 Nov 2021 19:56 |
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