RECONSTRUCTION OF THE SURFACE TEMPERATURE OF ARCTIC GLACIERS 
FROM THE DATA OF TEMPERATURE MEASUREMENTS IN WELLS
O. V. Nagornov,a Yu. V. Konovalov,a
V. S. Zagorodnov,b and L. G. Thompsonb                                    

UDC 551.51

Consideration is given to the problem of reconstruction 
of the surface temperature of a glacier from the data of measuring 
the temperature in a well. Mathematically this problem is an inverse 
problem for a heat-conduction equation and refers to a number of incorrectly 
formulated (ill-posed) problems. For the reconstruction of the surface 
temperature, the Tikhonov regularization method has been used. A model 
that takes into account the vertical advection of the annual layers 
has been adopted as a mathematical model that describes the propagation 
of heat in a glacier. The boundary temperatures have been reconstructed 
from the results of temperature measurements in wells obtained for 
certain glaciers of the Arctic. The effect of the initial temperature 
distribution, the accumulation rate, and the magnitude of the geothermal 
heat flux on the reconstructed boundary temperature has been investigated.

aMoscow Engineering Physics Institute (Technical 
University), Moscow, Russia; email: nagornov@dpt39.mephi.ru; 
bOhio State University, Columbus, Ohio. Translated from Inzhenerno-Fizicheskii 
Zhurnal, Vol. 74, No. 2, pp. 3-12, March-April, 2001. 
Original article submitted August 15, 2000.

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