Calculation of the reserves of an ore deposit located on the horizon and undercut in depth by means of a borehole
Abstract
When calculating mineral reserves in deposits, instead of the volume of the actual ore body, the volume of a body that is sufficiently close to it and has the correct geometric shape is usually calculated. An unsuccessful choice of such a geometric body can lead to a significant decrease in the calculation accuracy or greatly complicate the calculations. In the practice of calculating reserves with such exploration data, the volume of the explored body was sometimes calculated as the volume of a cone with a base equal to the contoured area on the horizon, and with the apex at the point where the drill well exits the deposit, without taking into account the thickness of this latter. The calculation made in this way gave reserves below the minimum determined by exploration data, and the discrepancy reached a significant value of several tens of percent. Below are methods for calculating the volume of a conoidal body, which can serve to calculate the reserves of a part of an ore deposit limited by a contoured area at a certain horizon and cut by a drill hole at depth.
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References
- V.I. Bauman. Mining Journal for Gornyi Zhurnal, 1908. (in Russian)
- A.M. Zhuravskii. On a Generalization of one V.I. Bauman's Formula. Proceedings of the All-Russian Geological Prospecting Association Trudy Vseros. Geologo-razvedyvatel’nogo ob'yedineniya, issue 201b, 1933. (in Russian)