Features of Adjusting the Frozen Soil Properties Using Borehole Temperature Measurements

The paper examines the theoretical issues of using borehole temperature survey data to control a frozen wall formed around the sinking mine shafts of the Nezhinsk mining and processing plant potash mine. We consider adjusting the parameters of the mathematical model of the frozen soil based on tempe...

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Main Authors: Mikhail Semin, Lev Levin, Aleksandr Bogomyagkov, Aleksei Pugin
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Modelling and Simulation in Engineering
Online Access:http://dx.doi.org/10.1155/2021/8806159
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author Mikhail Semin
Lev Levin
Aleksandr Bogomyagkov
Aleksei Pugin
author_facet Mikhail Semin
Lev Levin
Aleksandr Bogomyagkov
Aleksei Pugin
author_sort Mikhail Semin
collection DOAJ
description The paper examines the theoretical issues of using borehole temperature survey data to control a frozen wall formed around the sinking mine shafts of the Nezhinsk mining and processing plant potash mine. We consider adjusting the parameters of the mathematical model of the frozen soil based on temperature measurements in boreholes. Adjustment of the parameters of the mathematical model (thermophysical properties of the soil) is usually carried out by minimizing the discrepancy functional between the experimentally measured and model temperatures in the temperature control boreholes. An important question about the form of this functional and the existence of minima remained after the previous studies. The study aimed at this question included analysis of heat transfer in two horizontal layers (sand and chalk) for two shafts under construction using artificial ground freezing. It was shown that the discrepancy functional minimum under certain conditions moves over time or is nonunique. This phenomenon results in ambiguity in adjusting the mathematical model parameters in the frozen soil to fit the borehole temperature survey data. At the stage of the frozen wall growth, the effective thermal conductivity in the frozen zone can be determined ambiguously from the temperature measurements in the boreholes—its value can change over time. At the stage of maintaining the frozen wall, the solution turns out to be dependent on the ratio of effective thermal conductivities in the frozen and unfrozen zones.
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institution Kabale University
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language English
publishDate 2021-01-01
publisher Wiley
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series Modelling and Simulation in Engineering
spelling doaj-art-0978a59b9e1d459392800d74a761f5262025-02-03T05:59:58ZengWileyModelling and Simulation in Engineering1687-56052021-01-01202110.1155/2021/8806159Features of Adjusting the Frozen Soil Properties Using Borehole Temperature MeasurementsMikhail Semin0Lev Levin1Aleksandr Bogomyagkov2Aleksei Pugin3Mining Institute of the Ural Branch of the Russian Academy of SciencesMining Institute of the Ural Branch of the Russian Academy of SciencesMining Institute of the Ural Branch of the Russian Academy of SciencesMining Institute of the Ural Branch of the Russian Academy of SciencesThe paper examines the theoretical issues of using borehole temperature survey data to control a frozen wall formed around the sinking mine shafts of the Nezhinsk mining and processing plant potash mine. We consider adjusting the parameters of the mathematical model of the frozen soil based on temperature measurements in boreholes. Adjustment of the parameters of the mathematical model (thermophysical properties of the soil) is usually carried out by minimizing the discrepancy functional between the experimentally measured and model temperatures in the temperature control boreholes. An important question about the form of this functional and the existence of minima remained after the previous studies. The study aimed at this question included analysis of heat transfer in two horizontal layers (sand and chalk) for two shafts under construction using artificial ground freezing. It was shown that the discrepancy functional minimum under certain conditions moves over time or is nonunique. This phenomenon results in ambiguity in adjusting the mathematical model parameters in the frozen soil to fit the borehole temperature survey data. At the stage of the frozen wall growth, the effective thermal conductivity in the frozen zone can be determined ambiguously from the temperature measurements in the boreholes—its value can change over time. At the stage of maintaining the frozen wall, the solution turns out to be dependent on the ratio of effective thermal conductivities in the frozen and unfrozen zones.http://dx.doi.org/10.1155/2021/8806159
spellingShingle Mikhail Semin
Lev Levin
Aleksandr Bogomyagkov
Aleksei Pugin
Features of Adjusting the Frozen Soil Properties Using Borehole Temperature Measurements
Modelling and Simulation in Engineering
title Features of Adjusting the Frozen Soil Properties Using Borehole Temperature Measurements
title_full Features of Adjusting the Frozen Soil Properties Using Borehole Temperature Measurements
title_fullStr Features of Adjusting the Frozen Soil Properties Using Borehole Temperature Measurements
title_full_unstemmed Features of Adjusting the Frozen Soil Properties Using Borehole Temperature Measurements
title_short Features of Adjusting the Frozen Soil Properties Using Borehole Temperature Measurements
title_sort features of adjusting the frozen soil properties using borehole temperature measurements
url http://dx.doi.org/10.1155/2021/8806159
work_keys_str_mv AT mikhailsemin featuresofadjustingthefrozensoilpropertiesusingboreholetemperaturemeasurements
AT levlevin featuresofadjustingthefrozensoilpropertiesusingboreholetemperaturemeasurements
AT aleksandrbogomyagkov featuresofadjustingthefrozensoilpropertiesusingboreholetemperaturemeasurements
AT alekseipugin featuresofadjustingthefrozensoilpropertiesusingboreholetemperaturemeasurements