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本文提出了一个依据颗粒大小分布能预先计算滤饼孔隙率、孔隙大小分布、流动阻力的物理模型。首先，假定了一个穿过横截面为拱三角形的柱形孔隙的流动微观过程。对于滤饼填充结构形成的宏观过程，随机圆柱填充被转换成等价的圆球填充。圆球填充的流动用力能预先计算出来。由于这是此问题的一个分析解，故计算能在普通的个人计算机上进行，而无需许多的编程。就单分散和双分散体系而言，计算值同测量值吻合良好。
In this paper, a physical model based on particle size distribution, which can calculate the porosity, pore size distribution and flow resistance of filter cake in advance, is proposed. First, we assumed a flow-through microscopic process through a cylindrical pore of triangular cross-section. For the macroscopical process of filter cake filling structure formation, random cylindrical packing is converted into equivalent spherical packing. The filling force of the ball can be calculated in advance. Since this is an analytical solution to this problem, calculations can be made on a common personal computer without requiring much programming. In the case of monodisperse and doubly dispersed systems, the calculated values agree well with the measured values.