MATHEMATICAL MODEL COUPLING SEEPAGE AND SEDIMENTATION OF SOLID PARTICLES IN POROUS MEDIA

Sedimentation and seepage of solid particles can be found widely in organism, oceans and rivers. Particle sedimentation and seepage mutually influence each other. The research on this physical phenomenon presents remarkable theoretical and practical significance, and is useful for the prevention and treatment of biological diseases, as well as sediment transport treatment in oceans and rivers. In our research, changes in permeability coefficient led by the solid particle sedimentation were focused. For this physical process, a sedimentation and seepage coupling mathematical model of solid particles and water was established. The relationship of flow velocity, porosity, particles infiltration velocity and total infiltration along different time and axes in sedimentation and seepage coupling was obtained through numerical calculation and analysis. Besides, a mathematical function between seepage velocity and porosity of porous media was established in the computation domain. This realized the acquisition of the other parameter by monitoring one parameter.