Abstract
The problem of a disc-shaped hydraulic fracture crack [1] in a fluid-saturated poroelastic medium is considered. The crack is opened by a flow of viscous fluid infiltrating into the fracture layer. The stressed state and strains of the poroelastic medium are described by the Biot equations [2]. The solution of the spatial axisymmetrical problem of a disc-shaped hydraulic fracture crack in a poroelastic medium is obtained by the methods of the theory of generalized analytic functions [3]. Unlike in an elastic medium, in a poroelastic medium crack opening is governed not only by the pressure of the fluid of the fracture at its sides, but also by the distribution of the rate of leakage of the fluid into the layer. An analytic solution is obtained for a stationary “ideal” crack along which the pressure is constant.
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