EFFECT OF THE WAVE PROCESSES CAUSED BY EXTERNAL INFLUENCE ON THE FILTERING OF AQUEOUS SOLUTIONS IN THE EXPANDED LOADING LAYER
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Abstract
In this paper, the influence of traveling waves arising from external action on the filtering process of aqueous solutions in the expanded loading layer is investigated. A three-dimensional dynamic generalized model of fluid motion in a porous medium under a nonlinear external influence is used as the primary mathematical model. A model describing traveling waves is obtained. Nine particular cases of this model with three types of nonlinearity process of filtering are examined: power, exponential, and logarithmic. The external influence is also selected power, exponential, and logarithmic. The particular models describe both expansion and contraction of the loading layer on the type of filtration nonlinearity, the type of external influence, and the traveling wave parameters. For filtering with the expanding loading layer we found the time at which maximum it's expansion is achieved. When the loading layer contaminates we found the time at which it will be destroyed.
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