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Mathematical Prediction of Frozen Wall Thickness in Shaft Sinking

Mathematical Prediction of Frozen Wall Thickness in Shaft Sinking A Stefan problem is analyzed for the case of rock freezing during shaft sinking. It is shown that the rate of thermal diffusion in rock mass is comparable with the velocity of the boundary between different phases. The Stefan problem is solved for a single shaft using the finite difference method. The procedure for generalizing the calculation data on thickness of the frozen wall in a single shaft for the case of many shafts is improved. The frozen wall thickness forming around freezing pipes is calculated in terms of shaft 1 in the mine of Petrikovsky Mining and Processing Plant of Belaruskali. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Mining Science Springer Journals

Mathematical Prediction of Frozen Wall Thickness in Shaft Sinking

Levin, L.; Semin, M.; Parshakov, O.
Journal of Mining Science , Volume 53 (5) – Jun 4, 2018
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Publisher
Springer Journals
Copyright
Copyright © 2017 by Pleiades Publishing, Ltd.
Subject
Earth Sciences; Geotechnical Engineering & Applied Earth Sciences; Geophysics/Geodesy; Earth Sciences, general; Mineral Resources
ISSN
1062-7391
eISSN
1573-8736
DOI
10.1134/S1062739117052970
Publisher site
See Article on Publisher Site

Abstract

A Stefan problem is analyzed for the case of rock freezing during shaft sinking. It is shown that the rate of thermal diffusion in rock mass is comparable with the velocity of the boundary between different phases. The Stefan problem is solved for a single shaft using the finite difference method. The procedure for generalizing the calculation data on thickness of the frozen wall in a single shaft for the case of many shafts is improved. The frozen wall thickness forming around freezing pipes is calculated in terms of shaft 1 in the mine of Petrikovsky Mining and Processing Plant of Belaruskali.

Journal

Journal of Mining Science – Springer Journals

Published: Jun 4, 2018

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