Hasanov A.
Doctor of Engineering, professor
Head of the Laboratory of Computer modeling of dynamic systems
Institute of Control Systems of the Ministry of Science and Education of the Republic of Azerbaijan
https://orcid.org/0000-0001-6612-7061

Guliyeva S.
Doctor of Philosophy in Mathematics
Head of Education Department
Institute of Control Systems of the Ministry of Science and Education of the Republic of Azerbaijan
https://orcid.org/0000-0002-4951-2926

Hasanova T.
Doctoral student of Institute of Information Technology of the Ministry of Science and Education of the Republic of Azerbaijan
https://orcid.org/0009-0004-1106-9418

Abstract
The solution of problems of filtration from channels and stream beds is considered. Depending on the geological structure of the soils in which filtration occurs, and other natural conditions (precipitation, evaporation, etc.), the problems of filtration without backwater (in homogeneous and inhomogeneous soil) from non-colmated channels and stream beds of arbitrary cross section are considered. It is assumed that the fluid is incompressible, its motion in the ground is steady and obeys Darcy’s law (linear filtration). Capillary uplift and inertial forces are not taken into account. It is also assumed that infiltration and evaporation are absent (evaporation can be considered as negative infiltration).

Keywords:  filtration from channels, heterogeneous soil, arbitrary cross section