Reconstruction of the temperature in the active layer of the glacier on the Western plateau of Elbrus for 1930–2008
The reconstruction of changes in the temperature of the base of the active layer (at a depth of 10 m) of the glacier on the Western plateau of Elbrus for the period 1930–2008 was performed. The temperature dynamics at this depth generally corresponds to the average annual changes in the air temperat...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | Russian |
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Nauka
2020-11-01
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| Series: | Лëд и снег |
| Subjects: | |
| Online Access: | https://ice-snow.igras.ru/jour/article/view/835 |
| _version_ | 1797878151879065600 |
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| author | S. A. Tyuflin O. V. Nagornov G. A. Chernyakov V. N. Mikhalenko P. A. Toropov S. S. Kutuzov |
| author_facet | S. A. Tyuflin O. V. Nagornov G. A. Chernyakov V. N. Mikhalenko P. A. Toropov S. S. Kutuzov |
| author_sort | S. A. Tyuflin |
| collection | DOAJ |
| description | The reconstruction of changes in the temperature of the base of the active layer (at a depth of 10 m) of the glacier on the Western plateau of Elbrus for the period 1930–2008 was performed. The temperature dynamics at this depth generally corresponds to the average annual changes in the air temperature at the height of the plateau (5100 m), since seasonal temperature fluctuations take place in the active layer. The initial data for the mathematical model are: 1) the temperature measurements in a borehole with a depth of 181.8 m, drilled on the plateau (2009); 2) vertical profile of the density of the firn/ice thickness; 3) vertical profile of the advection rate (ice speed), recently obtained from the analysis of the ice core (2015). Temperature changes are reconstructed by solving an incorrect inverse problem for the 1D heat equation with coefficients depending on the depth. The following conditions are added to the heat conduction equation: 1) the initial one that is calculated stationary temperature profile related to the beginning of the reconstruction period; 2) the boundary condition at the glacier bed – calculated permanent geothermal heat flux; 3) the condition of redefinition, i.e. distribution of the temperature measured in the borehole at the end of the reconstruction period. Solving the inverse problem, we obtain a previously unknown boundary condition on the surface which is the temperature of the active layer base as a function of time. The depth is reckoned from the base of the active layer. The method used for solving the inverse problem is the Tikhonov regularization, implemented numerically as an iterative procedure. The boundary condition on the surface (the restored function of the temperature changes) was found as a finite sum of harmonics with indeterminate coefficients. To improve the accuracy of the reconstruction, we used harmonic frequencies obtained from another indirect climate indicator – the tree-ring chronology for the Central Caucasus. Wavelet analysis was used to extract characteristic frequencies from the dendrochronological data. Our reconstruction determined the temperature changes within range from –17.7 to –15.3 °C for the investigated period. The reconstruction data were compared with independent polynomial smoothed temperature series from the studied region: with ENCEP/ENCAR reanalysis (significant correlation coefficient 0.76), as well as with temperature measurements at the Terskol (0.53) and Teberda weather stations. The reconstruction clearly reflects the main climate trends of the twentieth century: a warmer period in the 1940s, a colder period in the 1960s and 1980s, and extreme warming around 2000. |
| first_indexed | 2024-04-10T02:28:11Z |
| format | Article |
| id | doaj.art-67581d5539484ab594348e53daf12e30 |
| institution | Directory Open Access Journal |
| issn | 2076-6734 2412-3765 |
| language | Russian |
| last_indexed | 2024-04-10T02:28:11Z |
| publishDate | 2020-11-01 |
| publisher | Nauka |
| record_format | Article |
| series | Лëд и снег |
| spelling | doaj.art-67581d5539484ab594348e53daf12e302023-03-13T08:01:20ZrusNaukaЛëд и снег2076-67342412-37652020-11-0160448549710.31857/S2076673420040054630Reconstruction of the temperature in the active layer of the glacier on the Western plateau of Elbrus for 1930–2008S. A. Tyuflin0O. V. Nagornov1G. A. Chernyakov2V. N. Mikhalenko3P. A. Toropov4S. S. Kutuzov51Национальный исследовательский ядерный университет «МИФИ»1Национальный исследовательский ядерный университет «МИФИ»Институт географии РАНИнститут географии РАНИнститут географии РАН; Московский государственный университет имени М.В. ЛомоносоваИнститут географии РАНThe reconstruction of changes in the temperature of the base of the active layer (at a depth of 10 m) of the glacier on the Western plateau of Elbrus for the period 1930–2008 was performed. The temperature dynamics at this depth generally corresponds to the average annual changes in the air temperature at the height of the plateau (5100 m), since seasonal temperature fluctuations take place in the active layer. The initial data for the mathematical model are: 1) the temperature measurements in a borehole with a depth of 181.8 m, drilled on the plateau (2009); 2) vertical profile of the density of the firn/ice thickness; 3) vertical profile of the advection rate (ice speed), recently obtained from the analysis of the ice core (2015). Temperature changes are reconstructed by solving an incorrect inverse problem for the 1D heat equation with coefficients depending on the depth. The following conditions are added to the heat conduction equation: 1) the initial one that is calculated stationary temperature profile related to the beginning of the reconstruction period; 2) the boundary condition at the glacier bed – calculated permanent geothermal heat flux; 3) the condition of redefinition, i.e. distribution of the temperature measured in the borehole at the end of the reconstruction period. Solving the inverse problem, we obtain a previously unknown boundary condition on the surface which is the temperature of the active layer base as a function of time. The depth is reckoned from the base of the active layer. The method used for solving the inverse problem is the Tikhonov regularization, implemented numerically as an iterative procedure. The boundary condition on the surface (the restored function of the temperature changes) was found as a finite sum of harmonics with indeterminate coefficients. To improve the accuracy of the reconstruction, we used harmonic frequencies obtained from another indirect climate indicator – the tree-ring chronology for the Central Caucasus. Wavelet analysis was used to extract characteristic frequencies from the dendrochronological data. Our reconstruction determined the temperature changes within range from –17.7 to –15.3 °C for the investigated period. The reconstruction data were compared with independent polynomial smoothed temperature series from the studied region: with ENCEP/ENCAR reanalysis (significant correlation coefficient 0.76), as well as with temperature measurements at the Terskol (0.53) and Teberda weather stations. The reconstruction clearly reflects the main climate trends of the twentieth century: a warmer period in the 1940s, a colder period in the 1960s and 1980s, and extreme warming around 2000.https://ice-snow.igras.ru/jour/article/view/835горные ледникикавказобратная задачарегуляризация тихоновареконструкция температурыскважинная термометрияэльбрус |
| spellingShingle | S. A. Tyuflin O. V. Nagornov G. A. Chernyakov V. N. Mikhalenko P. A. Toropov S. S. Kutuzov Reconstruction of the temperature in the active layer of the glacier on the Western plateau of Elbrus for 1930–2008 Лëд и снег горные ледники кавказ обратная задача регуляризация тихонова реконструкция температуры скважинная термометрия эльбрус |
| title | Reconstruction of the temperature in the active layer of the glacier on the Western plateau of Elbrus for 1930–2008 |
| title_full | Reconstruction of the temperature in the active layer of the glacier on the Western plateau of Elbrus for 1930–2008 |
| title_fullStr | Reconstruction of the temperature in the active layer of the glacier on the Western plateau of Elbrus for 1930–2008 |
| title_full_unstemmed | Reconstruction of the temperature in the active layer of the glacier on the Western plateau of Elbrus for 1930–2008 |
| title_short | Reconstruction of the temperature in the active layer of the glacier on the Western plateau of Elbrus for 1930–2008 |
| title_sort | reconstruction of the temperature in the active layer of the glacier on the western plateau of elbrus for 1930 2008 |
| topic | горные ледники кавказ обратная задача регуляризация тихонова реконструкция температуры скважинная термометрия эльбрус |
| url | https://ice-snow.igras.ru/jour/article/view/835 |
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