Tsai, Victor C.Rice, James2013-07-032012Tsai, Victor C., and James R. Rice. 2012. Modeling turbulent hydraulic fracture near a free surface. Journal of Applied Mechanics 79(3): 031003.0021-8936http://nrs.harvard.edu/urn-3:HUL.InstRepos:10859954Motivated by observations of subglacial drainage of water, we consider a hydraulic fracture problem in which the crack 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 non-dimensionalized results for a variety of different times, corresponding with different fracture lengths, and find substantial differences when free-surface effects are important.en-USJournal Article2013-07-0310.1115/1.4005879