Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heat flows inferred from a Parker's-like formula for stable or
  quasi-stable continents   Surface heat flow is a key parameter for the geothermal structure, rheology,
and hence the dynamics of continents. However, the coverage of heat flow
measurements is still poor in many continental areas. By transforming the
stable nonlinear heat conduction equation into a Poisson's one, we develop a
method to infer surface heat flow for a stable or quasi-stable continent from a
Parker's-like formula. This formula provides the relationship between the
Fourier transform of surface heat flow and the sum of the Fourier transform of
the powers of geometry for the heat production (HP) interface in the
continental lithosphere. Once the interface geometry is known, one to three
dimensional distribution of the surface heat flow can be calculated accurately
by this formula. As a case study, we estimate the three-dimensional surface
heat flows for the Ordos geological block and its adjacent areas in China on a
$1^\circ \times 1^\circ$ grid based on a simple layered constant HP model.
Comparing to the measurements, most relative errors of the heat flows inferred
are less than 20\%, showing this method is a favorable way to estimate surface
heat flow for stable or quasi-stable continental regions where measurements are
rare or absent.

7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
18
The categories of this paper are: econ
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an