Abstract
AbstractModels of transport and filtration of fine particles in porous media are used in the design of foundations, tunnels and hydraulic structures. During the particles transport, some of the particles get stuck in narrow pores and form a sediment. The suspension or colloid flow washes out the retained particles and increases the concentration of suspended particles. Consider a model of the suspension/colloid transport in one-dimensional homogeneous porous media with the simultaneous action of forces aimed at sedimentation and release of particles. The model consists of an equation for mass exchange between particles and an equation describing the rate of sediment formation, taking into account the retention and release of particles. Exact solutions are obtained at entrance of the porous medium, on the front separating the injected fluid and the clean water, and ahead of the front. A solution to the problem is found in the form of a traveling wave.KeywordsParticles transportParticles retention and releasePorous mediumExact solution
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