M Avlakulov¹ , I E Kodirov² , and Sh Sh Faiziev¹

¹ Karshi engineering-economics institute, Karshi, 180100, Uzbekistan

² Bukhara institute of natural resources management at NTU “TIIAME”, Bukhara, Uzbekistan

Abstract

The article discusses issues related to the creation of mathematical models that are used to solve various problems arising in the hydrological and hydrogeological cycles. The analysis of the mathematical correctness of the solved problems, which correspond to the initial boundary conditions, is given. When studying the phenomena associated with the exchange of mass between surface and groundwater flows, it becomes necessary to study several issues in order to hydraulically substantiate the models being developed and their numerical implementation. This circumstance is of great importance when creating a picture of the interacting processes of runoff and water infiltration.