0 pewnym matematycznym modelu procesu kolmatacji wymiarowej w szczelinach i jego zastosowaniu

The work presents the phenomenological model of a phenomenon accompanying the flow of suspension through a microgap. The phenomenon is called the colmatage process and depends on trapping the dispersion phase particles. The particles beeing trapped in the gap divide its area on separate segments. There was assumed that a single particle stopped in the crack segment can divide or remove the segment, depending on their mutual dimensions. The number of segments and the characteristic dimension of flow width after flowing of the volume of liquid have been calculated. The analysis based on the computer solved results of the set of formulated, nonlinear differential equations. Also the approximate, analytical solution of the set have been obtained.