In the process of deep bed filtration there is an occurrence of clogging the filters bonds by particles of size comparable to the size of the bonds. In this paper it is examined how the structure of connections of a filter's bonds influences the time of its clogging as well as the efficiency of the filtering process. It is shown that the clogging time depends on two things: the network coordinating number - it means the average number of bonds with a common node and on a percolation threshold - it means the fraction of clogged bonds when the statistic lose of communication between the entrance and exit of the system occurs.
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