Publication: Modeling Turbulent Hydraulic Fracture Near a Free Surface
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Date
2012
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American Society of Mechanical Engineers
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Tsai, Victor C., and James R. Rice. 2012. Modeling turbulent hydraulic fracture near a free surface. Journal of Applied Mechanics 79(3): 031003.
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Abstract
Motivated 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.
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