Modeling the Movement of Groundwater VOD in a Rectangular Jumper with a Screen

Within the framework of planar steady-state filtration of incompressible fluid
according to Darcy’s law, an exact analytical solution of the problem of flow in a
rectangular cofferdam with a screen in the presence of evaporation from the free
surface of groundwater is given. The limiting cases of the considered motion -
filtration in unconfined reservoir to imperfect gallery, as well as the flow in the
absence of evaporation - are noted.
The solution of the problem of fluidinfl ow to an imperfect well with a flooded
filter (i.e. axisymmetric problem) in the exact hydrodynamic formulation, is
associated with great mathematical difficulties (especially for flows with a free
surface) and so far does not exist [1-6] (numerous numerical and approximate
solutions are not considered here). Therefore, as a fi rst approximation to the
solution of this problem, its fl at analogues-problems about fluid fl ow to a
rectangular cofferdam with a screen and to an imperfect rectilinear gallerywere considered [1,5-8], which give a certain qualitative insight into the possible
dependence of filtration characteristics on the degree of well imperfection. Exact
analytical solution of the problem of groundwater movement in unconfined
reservoir to imperfect gallery in presence of evaporation from free surface is given
in work [9]. As well as an approximate solution of the problem in the case when the
fl ow area on the left is limited by some equipotential defined from the solution. It
is shown that the flow pattern near the impermeable screen significantly depends
not only on the imperfection of the gallery, but also on the presence of evaporation,
which strongly affects the fl ow rate of the gallery and the ordinate of the exit point
of the depression curve on the impermeable wall.