Self-similar solution of a hydraulic fracture problem for a poroelastic medium

A solution of a coupled problem on the propagation of a hydraulic fracture (HF) with respect to the processes of deformation and flow in a poroelastic medium is considered. The fracture is formed and developed under the impact of a Newtonian fluid pumped into it through a well. The sets of self-similar solutions are constructed. These solutions are used to describe the evolution of a penny-shaped shallow fracture in a poroelastic medium with a uniform pressure inside the fracture. This work is a part of the HF publication series, which are based on splitting the original equations into components in accordance with the incomplete coupling principle.