ASYMPTOTICS OF THE FILTRATION PROBLEM WITH ALMOST CONSTANT COEFFICIENTS
During the construction of hydraulic and underground structures, a grout solution is pumped into the ground
to create waterproof partitions. The liquid grout is filtered in the porous rock and clogs the pores when hardened. The
mathematical model of deep bed filtration describes the transfer of suspension particles and colloids by a fluid flow through
the pores of a rock. For a one-dimensional filtration problem in a homogeneous porous medium with almost constant
coefficients, an asymptotic solution is constructed. The asymptotics is compared with the numerical solution.