Various mining processes involve the injection of liquid under pressure into existing or newlyproduced points; examples are hydraulic fracturing in oil, fracturing in coal seams, and oil displacement at elevated pressures [1, 2]. Studies have been made [3, 4] of vertical and horizontal crack growth in response to a noninfiltrating liquid. In those cases, the actual pressure distribution in a joint was replaced by the statically equivalent uniform pressure on part of the joint surface. Here we propose a treatment that handles such topics reasonably effectively and does not involve the assumption of uniform pressure distribution. A system of equations has been derived for a vertical symmetrical crack to define the Cauchy problem for the crack volume. The quasistatic equilibrium condition for the crack and the solution are very much simplified if a system of mobile elliptical coordinates related to the crack is used. An analogous approach has been used in examining the growth of a circular horizontal crack.
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Translated from Zhurnal Prikladnoi Mekhanika i Tekhnicheskoi Fiziki, No. 3, pp. 156–163, May–June, 1975.
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Peslyak, Y.A. Crack growth in hydraulic rock fracturing. J Appl Mech Tech Phys 16, 443–448 (1975). https://doi.org/10.1007/BF00859869
- Cauchy Problem
- Pressure Distribution
- Industrial Mathematic
- Coal Seam
- Hydraulic Fracture