Formation of Crack on Hydraulic Fracturing of Bed in a Medium with Double Porosity

A study is made of a two-dimensional bound problem on slow motions of a liquid in a hydraulic fracturing crack and on deformations and filtration caused by these motions in a poroelastic medium with double porosity involving two components — the porosity proper and jointing. The motions are induced by the pumping of a liquid into a well. The motion inside the crack is described by hydrodynamics equations in hydrostatic approximation. Some ordered sequence of interdependent geomechanical processes occurring on hydraulic fracturing is established in conformity with the principle of incomplete connection. In the main space surrounding the crack, the liquid moves in the porous component of the two-phase medium. In the boundary layer the motion dominates in the jointy component. In distinction to the classical problem with double porosity, the indicated problem is solved rigorously with account for elastic deformations of the skeleton. The motion regimes in the main volume and in the boundary layer differ significantly due to the permeability of the medium.