Title: Computation of filtration bed porosity based on selected filtration coefficient equations by applicationof numerical methods

Alternative title:

Obliczenia porowatości złoża filtracyjnego na podstawie wybranych równań współczynnika filtracji przy wykorzystaniu metod numerycznych


Gravitational filtration is a process of solid and liquid phase separation. Wastewater suspension conveyed to a porous bed makes a single-phase solution or is a mixture of solid impurities contained in liquid phase. Stopping of such impurities is based on mechanical action of a filtration bed mostly through wedging of the solid phase in its pores. However, the relationship between size of the solid phase fraction contained in wastewater and size of grains of the filtration bed is important because it determines the type of the process as gravitational filtration may proceed, among other things, on a porous bed, in the very porous bed, simultaneously on and in the porous bed, in the porous bed with a colmatation barrier and accumulated sediment layer etc. Gravitational filtration process is a complex phenomenon and to provide possibly accurate characteristic of such process it is necessary to perform experiments within possibly broad range of parameters variability. Mathematical description of the gravitational filtration process requires determination of values of a number of parameters. This pertains to the presentation of the filtration barrier through determination (based on the grain size analysis) of sizes of characteristic diameters as well as the characteristic of medium flow through the filtration bed computing e.g. filtration or permeability coefficient values. The filtration coefficient is a feature specific for given bed and it depends on its porosity, grain size and flowing medium temperature. In this paper an interesting combination of a direct laboratory method and computational indirect method based on Slichter’s analytical and empirical mathematical formula in order to determine variations in filtration bed porosity values has been presented using FILTRA application.

Place of publishing:



Politechnika Koszalińska





Is part of:

Rocznik Ochrona Środowiska. Vol. 22, s. 1084-1096


Biblioteka Politechniki Koszalińskiej

Access rights:



Creative Commons BY-SA 4.0

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