MATHEMATICAL MODELING OF THE FILTRATION PROCESS IN DRAINAGE-SCREENED MODULE AT DEEP AQUICLUDE AND SCREEN PLACEMENT DIRECTLY NEAR DRAINS

Abstract

After the construction of drainage systems, they reduce the level ofground water not only the area of the drained array, but also deplete the water horizons of the adjoining areas. In order to reduce the negative impact on the adjacent territory, in the process of designing new or during modernization or reconstruction of existing drainages systems, developed has been in National University of Water Management and Nature Management an improved design of the boundary drainage system or the end drainage tube of the regulatory network in the form of drainage-screened modules. Placement next to a drainage a waterproof polymeric screen (anti-filtration screen (AFS)) allows you to redistribute zones of influence of this drainage. In this article we consider the mathematical modeling of a partial case of placement of AFS directly next to drainage tube on the end of the drainage system. In neglecting the influence of the deep aquiclude, the study of the motion of the filtration flow to the drain with AFS iscarried out on the basis of the known equation of the characteristicflow function of F.B. Nelson-Skornyakov. The solution of the resulting system of nonlinear equations with sufficient accuracy was obtained using the Minerr function in the Mathcad system. The requirements for entering initial approximation values are given, in particular the values should be close to the expected roots of the equations, and the interval had no gaps and local max and min. The obtained results confirm the nonlinear increase in the effectiveness of AFS in its deepening. The resistance of the groundwater flow is increased more intensively at the initial stage (when the bottom edge is deepened from 0 to 2 m, the resistance increases from 0 to 0.45 m), and then the intensity of the increase in pressure gradually decreases.