| Issue |
E3S Web Conf.
Volume 123, 2019
Ukrainian School of Mining Engineering - 2019
|
|
|---|---|---|
| Article Number | 01049 | |
| Number of page(s) | 13 | |
| DOI | https://doi.org/10.1051/e3sconf/201912301049 | |
| Published online | 22 October 2019 | |
Methodological approach to creation of the 3D model of an oval-shaped open pit mine
1 Satbayev University, Institute of Geology, Oil and Mining, 22 Satbayev St., 050013 Almaty, Republic of Kazakhstan
2 International University of Information Technologies, Information Technologies and Mathematic Modelling Department, 8 Manas St., 050000 Almaty, Republic of Kazakhstan
* Corresponding author: moldabaev_s_k@mail.ru
A 3D model of optimal contours phased development of oval-shaped open pit mines is proposed in the article. It is assumed that with enough accuracy the volumetric contour of the open pit mine is interpolated by an elongated elliptic hyperboloid. The calculation formulas for mineral resources are derived and optimal volumes of overburden are determined depending on the mining phase. In this case, the total number of mining phases is set in advance. The stripping ratio is used as a quality criterion of the optimization task. The problem of optimal control is solved using the Bellman function in dynamic programming. All the necessary calculation formulas are obtained in the final form by solving the optimization problem. Their simplicity and substantiation of each conclusion ensure that the results of this study can be successfully applied in practical calculations of the design and planning of mining operations in open pit mining.
© The Authors, published by EDP Sciences, 2019
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