Mathematical modeling as a tool for research and decision-making support in land reclamation

Abstract

Goal. To justify the expediency and directions of applying mathematical modeling to solve research tasks and support decision-making in land reclamation. Methods. The methods of mathematical modeling, theoretical generalizations, and expert analysis were used. Results. The increased demand for the use of hydrotechnical reclamations in the conditions of climate change requires the performance of a large volume of complex studies on the justification of technical and technological parameters of irrigation and drainage systems at the stage of their design and support of management decision-making to ensure effective environmentally safe operation of exis­ting and newly created systems. Such tasks for various methods of irrigation and water regulation are proposed to be performed by the method of solving direct problems using the Richards equation in terms of pressures in a one-dimensional (sprinkling, water regulation using drainage) or two-dimensional setting (all types of drip irrigation). Solving inverse problems using the aforementioned Richards equation makes it possible to determine the design parameters of subsoil drip irrigation and drainage systems. An important class of problems that need to be solved at the stages of designing irrigation and drainage systems are the problems of determining crop rotation and water consumption norms. The choice of the optimal crop rotation was proposed for the first time to be carried out precisely by the methods of mathema­tical modeling. Conclusions. The restoration and development of irrigation and drainage systems in order to compensate for losses in the agricultu­ral sector of the economy caused by the military aggression of the Russian Federation, as well as for the implementation of plans for the post-war reconstruction of Ukraine, should be based on the use of energy- and resource-saving and environmentally safe irrigation and drainage systems, the application of which will require significant amounts of research from substantiation of their design parameters and operating modes. As the main tool of such research, it is proposed to use mathe­matical modeling methods, in particular, methods developed and tested by the authors of the article.