The article presents a methodology to enhance the efficiency of mineral water extraction processes, focusing on the Caucasian Mineral Waters (CMW) region. The CMW region is a significant source of mineral water and therapeutic mud, with a rich history and diverse hydromineral resources. The study addresses the challenges of sustainable extraction, environmental protection, and the impact of industrial activities on groundwater quality. The research highlights the need for improved control systems to manage aquifer pressure and prevent pollution. The methodology involves determining modified link parameters to replace static and dynamic indicators of hydrodynamic processes. By recording parameters at different filtration coefficients along spatial coordinates, the environmental safety of aquifers can be increased, and reservoir pressure can be stabilized. The approach allows for more accurate control of reservoir pressure during extraction. The study also discusses the impact of technogenic activities, such as agricultural and industrial practices, on the environment and groundwater quality. These activities contribute to pollution, affecting the chemical composition and temperature of groundwater. The research emphasizes the importance of monitoring and managing these processes to ensure the sustainability of mineral water resources. The methodology includes mathematical modeling and simulation of hydro-lithospheric processes, using finite approximation methods to analyze distributed systems. The study proposes a method for approximating the dynamic and static characteristics of hydro-lithospheric processes, which can be used to verify discrete models of hydrodynamic processes. The results show that the proposed method can effectively control aquifer pressure and improve the efficiency of mineral water extraction. The research also explores the influence of well location on total production, emphasizing the need for optimal placement of production wells to maximize profit and minimize environmental impact. The study concludes that the proposed methodology provides a reliable and efficient way to manage mineral water extraction processes, ensuring the sustainability of the CMW region's resources. The findings have practical applications in engineering practices and contribute to the development of management strategies for natural systems.The article presents a methodology to enhance the efficiency of mineral water extraction processes, focusing on the Caucasian Mineral Waters (CMW) region. The CMW region is a significant source of mineral water and therapeutic mud, with a rich history and diverse hydromineral resources. The study addresses the challenges of sustainable extraction, environmental protection, and the impact of industrial activities on groundwater quality. The research highlights the need for improved control systems to manage aquifer pressure and prevent pollution. The methodology involves determining modified link parameters to replace static and dynamic indicators of hydrodynamic processes. By recording parameters at different filtration coefficients along spatial coordinates, the environmental safety of aquifers can be increased, and reservoir pressure can be stabilized. The approach allows for more accurate control of reservoir pressure during extraction. The study also discusses the impact of technogenic activities, such as agricultural and industrial practices, on the environment and groundwater quality. These activities contribute to pollution, affecting the chemical composition and temperature of groundwater. The research emphasizes the importance of monitoring and managing these processes to ensure the sustainability of mineral water resources. The methodology includes mathematical modeling and simulation of hydro-lithospheric processes, using finite approximation methods to analyze distributed systems. The study proposes a method for approximating the dynamic and static characteristics of hydro-lithospheric processes, which can be used to verify discrete models of hydrodynamic processes. The results show that the proposed method can effectively control aquifer pressure and improve the efficiency of mineral water extraction. The research also explores the influence of well location on total production, emphasizing the need for optimal placement of production wells to maximize profit and minimize environmental impact. The study concludes that the proposed methodology provides a reliable and efficient way to manage mineral water extraction processes, ensuring the sustainability of the CMW region's resources. The findings have practical applications in engineering practices and contribute to the development of management strategies for natural systems.