Application of Dynamic Programming Models for Improvement of Technological Approaches to Combat Negative Water Leakage in the Underground Space

Abstract

The article solves an urgent problem, which is to develop a new approach to finding solutions to improve technological methods to combat negative water leakage in underround spaces. We propose the use of dynamic programming methods to select the optimal technology to secure such spaces. In accordance with the algorithm proposed in this paper, the problem was broken into a number of stages. At each stage, an optimal solution was sought (organisation of transport, delivery of materials to the destination, selection of materials, etc.). Thus, we applied a decomposition approach that allowed us to take into account the variety of parameters that affect the efficiency of the process. All these stages and their corresponding technological solutions were formalised by building network models. In these network models, vertices corresponded to solutions, and the distances between vertices (edges) corresponded to the value of the optimisation parameter. Thus, the shortest route from the initial to the final vertex corresponded to the optimal technological solution to combat negative water leakage in underground spaces. Based on the systematisation of data on technologies to combat water inflow into underground spaces, basic and refined models were developed. These models allowed us to take into account the risks associated with water breakthroughs into underground spaces. To minimise the risks, additional measures to combat water inflows are envisaged. In the practical part of this study, the results of the selection of a method with which to control water inflows are presented. This method involves the use of anchoring to reduce water filtration. According to the results of field observations, no water breakthroughs into the underground space were recorded.