Deep Bed Filtration Asymptotics at the Filter Inlet

Problems of deep bed filtration of the suspension in a porous soil are important for the design and construction of tunnels and hydrotechnical structures. A size-exclusion model of solid particle capture in a porous media is considered. For deep bed filtration equations an asymptotic solution for the concentrations of suspended and retained particles is constructed at the filter inlet. The asymptotics is compared with numerical solution. A new condition on equation coefficients is obtained.