A hydrodynamic model of an intercepting vacuum drainage in a descending flow of ground water
A boundary value problem is formulated describing two-dimensional steady filtration in a layer of soil of infinite capacity, towards a horizontal vacuum drainage which captures partly or wholly, at some specified rate of drainage, the ground water filtering downwards from the soil surface. A solution of the problem is constructed using conformal mapping and the solution contains two unknown mapping parameters. A system of equations is derived for the latter parameters, and their unique solvability is established analytically. At the same time, a restriction on the filtration capacity of the drainage is revealed, corresponding to the critical mode (complete interception of the flow). A computer program is written for the algorithm used to compute, for which given parameters of the medium, the flow characteristics in the critical mode, and at some value of the drainage output chosen arbitrarily from the interval of admissible values. Numerical examples are given.
scientific article; zbMATH DE number 4068510