Gradient clogging in depth filtration
نویسندگان
چکیده
We investigate clogging in depth filtration, in which a dirty fluid is ‘‘cleaned’’ by the trapping of dirt particles within the pore space during flow through a porous medium. This leads to a self-generated gradient percolation process that exhibits a power-law distribution for the density of trapped particles at downstream distance x from the input. To achieve a nonpathological clogging ~percolation! threshold, the system length L should scale no faster than a power of ln w, where w is the system width. Nontrivial behavior for the permeability arises only in this extreme anisotropic geometry. @S1063-651X~98!51208-1#
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