Review of research on mathematical modeling of the process of in-situ leaching of mineral resources

The paper presents a summary of the work done on the application of underground mining methods in the backfilling of ore deposits. In addition, basic information for future research is provided. The analysis of the numerical calculations showed that at the initial stage of ore deposit development, the active reaction of the reagent supplied by injection wells occurs around the wells, and as shown by numerical calculations in the computer system, this area expands over time depending on the permeability and porosity of the ore deposit. In this study, an extensive literature review and gap analysis are used to identify the limitations and opportunities for further research on the in-situ leaching (ISL) method for ore mining for integrated resource development planning. Moreover, our goal is to improve the methods of mining various minerals using the underground leaching method and to create a mathematical model for it based on the work performed. We believe that the extraction of minerals, especially ores, has always been and will be a pressing economic and political issue. Therefore, the demand for research in this area will continue to grow.