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In this article, in-situ leaching hydrodynamic processes was studied, in particular, the extraction of precious metals from ore deposits by dissolving them with acid was analyzed. Object properties deeply study, observation and forecasting to the underground for characteristic was filtration-convection and to diffusion processes based mathematical model work developed. This model of various hydrodynamic parameters influence, in particular, pressure level and process kinetics functions was liquid concentration coefficient and the dynamics of porosity with respect to pressure change was calculated. The research main purpose of underground mining wealth suffocated ore deposits dig in receiving other from methods cheap, fast and natural to the landscape damage not given in case dig to take focused, that is this in the method wells through ore solvent liquid poured other wells through melted mixture pushing to take research will be done. Another advantage of the research work was that it was taken into account that the injected molten liquid did not mix with groundwater, and this process was carried out through the porosity of the boundary of the field. In addition, the dispersion of a large amount of dust particles, which is one of the ecological problems in the mining area, is prevented. In-situ leaching is a mining technique used to extract valuable minerals directly from underground ore bodies without the need for conventional excavation. Unlike traditional underground or open-pit mining, In-situ leaching involves circulating a leaching solution through the ore deposit via a system of injection and recovery wells. The solution dissolves the target mineral, which is then pumped to the surface for processing. This method has gained increasing attention due to its economic and environmental advantages, particularly for low-grade and deeply buried deposits. In-situ leaching minimizes surface disturbance, reduces waste generation, and eliminates many of the safety hazards associated with underground mining operations. As a result, it is widely applied in the extraction of uranium and copper, and to a lesser extent gold and other soluble minerals. The results showed that within 10 days of the start of the test, the pressure distribution in the field reached a value of 0.06 P and a radius of about 20 m. In parallel with the pressure value, the concentration also spread. The velocity vectors spread throughout the field, creating equilibrium and increasing porosity. The velocity vectors initially decreased from 5.64e-03 m/s to 1.3 e-02 m/s. From day 10 to day 20 process of In-situ leaching was monotonous and distribution of pressure is increasing slightly. Other parameters almost did not change. Within the framework of this scientific research, several practical studies were carried out and the results corresponding to these studies were obtained. Software was created according to the proposed model and examples of changes in parameters over time were presented. Some examples of the results obtained are presented in the article. The results examined changes in pressure, porosity, flow rate and concentrations