Title: An efficient regularization method for a large scale ill-posed geothermal problem Authors: Fredrik Berntsson, Chen Lin, Tao Xu, Dennis Wokiyi Journal: Computers and Geosciences, 2017.
Contact and Information: Fredrik Berntsson (Email: [email protected]) for questions regadring the Matlab codes.
Abstract:
The inverse geothermal problem consists of finding the temperature and heat-flux in the interior of the earth using surface measurements. This is an ill-posed problem that has to be solved using regularization techniques. In the paper we present an efficient implementation of Tikhonov regularization for solving the inverse geothermal problem.
The Matlab codes used for creating the graphs in the paper are available in this repository. Read the file Contents.m for more information. To get started run PaperGraphs.m which generates most of the figures available in the paper. The codes are written in such a way that the thermal model can be changes relatively easily. The thermal parameters are seperated from the rest of the solution software and the assumption is that a function
[K,A]=ThermalModel(X,Z,T)
that calculates matrices K, containing thermal conductivities, and A, containing heat production, for a meshgrid X,Y and temperature T at the grid, is made available. Thus the codes are easily adapted to solve different thermal models.
Best wishes,
Fredrik Berntsson
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