Mathematical Modeling of Hydraulic Fracturing in Coal Seams

Yu. P. Zheltov, Rock Deformation [in Russian], Nedra, Moscow (1966).

G. I. Barenblatt, “Some problems of elasticity theory in investigating the mechanism of hydraulic fracturing of oil-bearing seam,” Prikl. Mat. Mekh., 20, Issue4 (1956).

Yu. P. Zheltov and S. A. Khristianovich, “Hydraulic fracturing of oil-bearing seam,” Izv. AN SSSR, No. 5 (1955).

Yu. P. Zheltov, “Formation of vertical cracks by filterable fluid,” Izv. ANSSSR, No. 8 (1957).

S. A. Khristianovich, “Investigations into the mechanisms of hydraulic fracturing of a seam,” in: Proceedings of the Institute of Geology and Combustible Mineral Recovery [in Russian], 12, AN SSSR, Moscow (1960).

Yu. A. Norvatov and A. G. Olovyanny, “Modeling of hydraulic and geomechanical processes around mine workings,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 4 (2002).

A. G. Olovyanny, Some Problems of Rock Mass Mechanics [in Russian], VNIMI, Saint Petersburg (2003).

O. P. Alekseenko and A. M. Vaisman, “Certain aspects of a two-dimensional problem on the hydraulic fracturing of an elastic medium,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 3 (1999).

O. P. Alekseenko and A. M. Vaisman, “Growth of almost filled axial-symmetric hydraulic fracture under small and great leakages,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 3 (2003).