期刊
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
卷 79, 期 3, 页码 -出版社
ASME
DOI: 10.1115/1.4005879
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- National Science Foundation OPP [ANT-0739444]
- United States Geological Survey
- Office of Polar Programs (OPP)
- Directorate For Geosciences [0739444] Funding Source: National Science Foundation
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. [DOI: 10.1115/1.4005879]
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