Abstract
Mathematical modeling of a fluid-driven fracture has attracted numerous contributions since the 1950’s, see e.g. Khristianovic and Zheltov (1955), Barenblatt (1962), Perkins and Kern (1961), Nordgren (1972), Geerstma and Haafkens (1979) for some early contributions. These studies have been mainly motivated by hydraulic fracturing (a technique used widely in the oil and gas industry to enhance the recovery of hydrocarbons from underground reservoirs), although other applications exist such as magma-driven fracture (Spence and Turcotte, 1985).
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Detournay, E. (1999). Fluid and Solid Singularities at the Tip of a Fluid-Driven Fracture. In: Durban, D., Pearson, J.R.A. (eds) IUTAM Symposium on Non-linear Singularities in Deformation and Flow. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4736-1_4
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DOI: https://doi.org/10.1007/978-94-011-4736-1_4
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