Mathematical Modeling of Exhaustion Process of Extracted Mineral Resources Using the Example of Natural Uranium

This paper is devoted to the development of mathematical models of exhaustion process of extracted mineral resources. Our new model combines the advantages of previous models and is devoid of their disadvantages. The model uses the transition of the growth rate of extraction of mineral resource to stationary value. The initial known parameters of the model include the explored residual volume of the mineral resource, the initial volume of its extraction, the initial growth rate of its extraction, and the indicator of decreasing rate of extraction growth. The model is applied using the example of predicted extraction and exhaustion of natural uranium.