PHYSICS AND MATHEMATICS

Modeling of liquid flows in pervious ground layers with use of Hele–Shaw solution

N. M. Sherykhalina, A. A. Zaripov

Ufa State Aviation Technical University

Abstract: The problem of underground hydrodynamics is solved for water leaks modeling during the construction of hydroconstructions of reservoir type. The compressibility of the liquid and soil is neglected, which allows us to use the Hele–Shaw problem as a model. A numerical-analytical method for solving the problem using the theory of functions of a complex variable is developed. Two modes of pressure change are considered: jumplike and linear in time with constraint. Problems with different border configurations were solved.

Keywords: underground hydrodynamics; incompressible fluid; two-dimensional problem; complex potential.

DOI: 10.23670/IRJ.2018.71.027