Physics
Scientific paper
Sep 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984pepi...34..261h&link_type=abstract
Physics of the Earth and Planetary Interiors, Volume 34, Issue 4, p. 261-270.
Physics
1
Scientific paper
The class of three-dimensional radiogenic heat source functions, which satisfy a linear relation between heat flow and surface heat production, is constructed by expanding the source in terms of Fourier transforms in the horizontal directions and Laguerre functions in the vertical. The linear relation then becomes a set of linear equations among the expansion coefficients. In particular, it is shown that the preferred exponential decay model can only hold if heat flow is constant at the Earth's surface. Furthermore, if a heat source function has any lateral variation, then the linear relation cannot survive erosion of any uniformly thick slab. For a given heat flow data set, construction of a source solution, closest in the mean-square sense to the exponential decay model, is demonstrated. When applied to a heat flow data set from central England, the construction gives vertical profiles which locally show significant departures from the exponential model.
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