Abstract:
In the paper we present a self-similar solution of the coupling problem about slow movement in
the hydraulic fracture and corresponding deformation and fluid percolation in the external medium.
These movements are generated with fluid uploading into well. The flow in a crack is described
with the hydrodynamics Stokes equations in the approach of the lubricating layer. The
outer problem is described with the poroelasticity equations. We consider an option of the heterogeneous
pressure into a crack in three- and two-dimensions. In the second case one can have
the self-similar solution in the analytical form.