Analysis of the pressure distribution for viscoplastic oil filtration in the stationary case

The article is devoted to the calculating analysis of established filtering process. The results of calculations are presented in graphical form. We calculate the pressure distribution of the viscoplastic oil layer in the problem of stationary filtration. It is assumed that the process of filtering is radially symmetric. The model of finite layer is used. Predetermined pressure is maintained on the boundary of the layer. Oil is considered weakly fluid and its density is determined by formula. At the same time it is assumed that oil viscosity depends on pressure gradient and this dependence is approximated by the sigmoid function. The proposed problem is solved by the method of finite differences using Newton´s method to solve the nonlinear system of equations.