We propose a mathematical model of production of multilayer filtering porous permeable materials (PPM) with variable porosity by the method of dry radial-isostatic pressing of ShKh15 steel powder together with a pore-forming material. We find the distribution of density along the radius of a hollow PPM obtained by radial-isostatic pressing. On the basis of theoretical calculations, we analyze the factors responsible for the inhomogeneity of the distribution of porosity in PPM. The fact that the distribution of porosity in a cylindrical pressed PPM is inhomogeneous is established and confirmed by the results of computer simulations. It is shown that the degree of porosity increases with the radius.

我们提出了一种通过ShKh15钢粉的干向径向等静压方法与造孔材料一起生产具有可变孔隙率的多层过滤多孔可渗透材料（PPM）的数学模型。我们找到了通过径向等静压获得的中空PPM沿半径的密度分布。在理论计算的基础上，我们分析了造成PPM中孔隙分布不均匀的因素。计算机模拟的结果证实并证实了圆柱形压制PPM中孔隙率分布不均匀的事实。结果表明，孔隙度随半径的增加而增加。