Published May 2012
| Published
Journal Article
Open
Modeling Turbulent Hydraulic Fracture Near a Free Surface
- Creators
-
Tsai, Victor C.
- Rice, James R.
Chicago
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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.
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.Attached Files
Published - Tsai2012p18181J_Appl_Mech-T_Asme.pdf
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Tsai2012p18181J_Appl_Mech-T_Asme.pdf
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Additional details
- Eprint ID
- 31612
- Resolver ID
- CaltechAUTHORS:20120523-104717621
- NSF
- ANT-0739444
- USGS
- Created
-
2012-05-23Created from EPrint's datestamp field
- Updated
-
2021-11-09Created from EPrint's last_modified field
- Caltech groups
- Seismological Laboratory