Abstract

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.

中文翻译：

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以天然铀为例的矿产资源开采过程的数学模型

摘要

本文致力于开发矿产资源枯竭过程的数学模型。我们的新模型结合了先前模型的优点，并且没有缺点。该模型使用矿产资源开采的增长率到平稳值的过渡。该模型的初始已知参数包括探明的矿产资源的剩余量，其提取的初始量，其提取的初始增长率以及提取增长率降低的指标。该模型以天然铀的预计提取和消耗为例进行了应用。