Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A heat production model for stable continental lithosphere by the
  inversion of the surface heat flows   Obtaining the heat production (HP) in the lithosphere has always been a
challenge for the geotherms and evolution of continents. By transforming the
nonlinear stable heat conduction equation into a linear Poisson's potential
one, we propose a method to infer the HP in the stable continental lithosphere.
This method estimates the HP through the inversion of the corresponding heat
flow (HF) observations. Either the distribution of HP within the lithosphere or
geometry of HP interfaces (even the both) can be inverted. Herein we focus on
the inversion of the geometry of the HP interface. An analogical
Parker-Oldenburg formula, which is often used in the inversion of potential
field, is deduced for this purpose. This analogical formula is based on a
relationship between the Fourier transform of the corresponding HF observations
and the sum of the Fourier transform for the powers of the interface geometry.
When the mean depth of the HP interface and the HP contrast between the two
media are given, one to three-dimensional geometry of the HP interface can be
iteratively calculated. As a case study, we construct a HP model for the
lithosphere of the Ordos geological block and its adjacent area in China, in
which three-dimensional geometry of the upper crustal HP interface is
estimated. It is found that the geometry of this HP interface distribute uneven
in a magnitude of dozens of km. With this HP model, the geotherms for the Ordos
geological block and its adjacent area is calculated further, which fit the
constraints from the studies on the xenolith and tectonics well.

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The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math