Plane-radial anomalous filtration of liquid in homogeneous porous medium

The problem of anomalous liquid filtration in a plane-radial porous medium with fractal structure is considered. The process is described by the piezoconductivity equation on derived from the generalized Darcy's law including the local fractional derivative of the pressure gradient. A one-dimensional plane-radial filtration problem has been developed and numerically solved. The problem is solved by the finite difference method. The pressure and filtration velocity fields were determined and analyzed based on the results of calculations.