WSEAS Transactions on Heat and Mass Transfer
Print ISSN: 1790-5044, E-ISSN: 2224-3461
Volume 10, 2015
Reliability of the Past Climate Reconstructions Based on the Borehole Measurements
Authors: , ,
Abstract: There were many past climate reconstructions based on the borehole measurements. The measured temperature-depth profiles both in rock and glaciers present the input data for solutions of the inverse problems for determination of the boundary conditions at the surface. However, the properties of such solutions have not been derived with mathematical point of view. We find out that the solution of this problem is not unique and stable. The uniqueness and stability properties take place for the inverse problems that assume solution in the form of the finite segments of the Fourier series for the temperature. We formulate the algorithm that provides reliable temperature reconstructions.