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IssuesArchive of Issues2021-7pp.1340-1351

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M.A. Semin, L.Yu. Levin, M.S. Zhelnin, and O.A. Plekhov, "Determination of the Locations of Boreholes for Temperature Measurement during Artificial Ground Freezing," Mech. Solids. 56 (7), 1340-1351 (2021)
Year 2021 Volume 56 Number 7 Pages 1340-1351
DOI 10.3103/S0025654421070219
Title Determination of the Locations of Boreholes for Temperature Measurement during Artificial Ground Freezing
Author(s) M.A. Semin (Mining Institute, Ural Branch, Russian Academy of Sciences, Perm, 614007 Russia, seminma@outlook.com)
L.Yu. Levin (Mining Institute, Ural Branch, Russian Academy of Sciences, Perm, 614007 Russia)
M.S. Zhelnin (Institute of Continuous Media Mechanics, Ural Branch, Russian Academy of Sciences, Perm, 614013 Russia)
O.A. Plekhov (Institute of Continuous Media Mechanics, Ural Branch, Russian Academy of Sciences, Perm, 614013 Russia)
Abstract In this paper, a study of optimal locations of temperature measurement boreholes based on the criterion of the most rapid and reliable adjustment of the thermophysical model of the frozen rock mass using temperature measurements is presented. For this purpose, the sensitivity of the solution of the Stefan problem to variations of the thermophysical properties of the rock mass is investigated. Zones with the highest sensitivity of the solution to variations of the thermal conductivity and moisture of the rock mass are determined. It seems most appropriate to locate temperature measurement bore-holes in these zones. Next, a numerical solution of the inverse Stefan problem in the phase plane of adjustment parameters of the mathematical model is obtained. The conclusions about the choice of the borehole locations obtained by analyzing the sensitivity of the direct solution of the Stefan problem are substantiated. In addition, it is found that in the case of complex adjustment of thermophysical parameters of the rock mass, the optimal location of temperature measurement boreholes can significantly differ from their locations found when the adjustment parameters are considered individually.
Keywords artificial ground freezing, frozen wall, temperature measurement boreholes, borehole location, inverse Stefan problem, optimization
Received 08 July 2020Revised 29 September 2020Accepted 14 January 2021
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