Filtration in Porous Medium with Particle Release

The transport of small particles in soil voids is a common problem construction. Filtering determines the creation foundations by pumping liquid grout and building watertight walls soil. A 1-D model depth filtration for slurry porous medium considered. It assumed that velocity carrier high enough to detach deposited from carcass medium. To take into account effect sediment lifting, particle release function introduced standard model. For with deposit release, analytic solutions are found at inlet sample concentration front. An asymptotics near front traveling wave solution constructed.