ON THE PROBLEM OF CONSTRUCTION OF THE UNDERGROUND CONTOUR
OF WATER-DEVELOPMENT WORKS WITH PORTIONS OF CONSTANT FLOW
VELOCITY

É. N. Bereslavskii

UDC 532.546

The underground contour of a sunk rectangular apron whose 
angles are rounded off by the curves of constant filtration rate is 
constructed in the case where the water-permeable base is underlain 
by a confining layer with a curvilinear roof, characterized by a constant 
flow velocity, too. The corresponding boundary-value problem is solved 
by a semiinverse application of the velocity-hodograph method. The 
cases of the apron with a horizontal insert in flow and the rabbet 
in flow are studied in detail. The results of numerical calculations 
are given; the influence of the physical parameters of the model on 
the shape and dimensions of the underground contour of the dam is 
analyzed.

St. Petersburg State University of Civil Aviation, 38 
Pilotov Str., St. Petersburg, 196210, Russia; email: beres@nwgsm.ru. 
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 81, No. 5, pp. 
826-833, September-October, 2008. Original article submitted 
July 24, 2007.