A New approach to 3-dimensional optimization of ultimate pit geometry for open pit mines with variable overall slope angles

Altuntov, Firdevs Kübra
The mining activities have high economic risks and the determination of the optimum ultimate pit limit of an ore body greatly affects the economic feasibility of an open pit mine. Due to necessity of determining optimum pit limit, many researchers proposed different algorithms and heuristic methods which maximize economic value of a mine while satisfying operational constraints and extraction sequence constraints. In most of the proposed methods, overall slope angle variation in the pit is constant. However, in real situations, overall slope angle varies in different parts of the mine due to geotechnical reasons. Since overall slope angle is an important constraint in open pit optimization and it is a significant factor in terms of slope stability, overall slope angle variation should be taken into consideration in optimization algorithms. In previous studies, methods that include overall slope angle variation were generally formed according to precedency relationships among blocks, but these methods also have problems in creating variable overall slope angles. To overcome this problem, in this study, it is aimed to apply a new approach which includes overall slope angle variation in optimization of ultimate pit limits. For this purpose, mixed integer programming and cubic spline interpolation were utilized, and the application was performed by coding in Python Programming Language. The proposed method was verified by applying it to the four case studies.


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In this comprehensive LCA comparison study, main objectives are to investigate life cycle environmental impacts of off-highway mining trucks and belt conveyors in surface mining. The research methodology essentially entails determination of the functional unit as 20,000 tons/day coal production transported for 5 km distance. After the system boundary was selected as the entire life cycle of material handling systems including pre-manufacturing of steel parts and plastic components, manufacturing, transporta...
A New Approach to Optimize Ultimate Geometry of Open Pit Mines with Variable Overall Slope Angles
Altuntov, Firdevs Kübra; Erkayaoğlu, Mustafa (2021-01-01)
© 2021, International Association for Mathematical Geosciences.The optimization method for determining open pit limit is important, as it is crucial to achieve the most profitable outcome from the limited amount of reserves available. However, importance must be also given to geotechnical aspects to ensure that safety requirements are met. Thus, overall slope angle (OSAs) must be incorporated in the optimization process. In the conventional methods, there were problems in incorporating various OSAs, or they...
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Citation Formats
F. K. Altuntov, “A New approach to 3-dimensional optimization of ultimate pit geometry for open pit mines with variable overall slope angles,” Thesis (M.S.) -- Graduate School of Natural and Applied Sciences. Mining Engineering., Middle East Technical University, 2019.