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Obtaining the heat production (HP) in the lithosphere has always been achallenge for the geotherms and evolution of continents. By transforming thenonlinear stable heat conduction equation into a linear Poisson's potentialone, we propose a method to infer the HP in the stable continental lithosphere.This method estimates the HP through the inversion of the corresponding heatflow (HF) observations. Either the distribution of HP within the lithosphere orgeometry of HP interfaces (even the both) can be inverted. Herein we focus onthe inversion of the geometry of the HP interface. An analogicalParker-Oldenburg formula, which is often used in the inversion of potentialfield, is deduced for this purpose. This analogical formula is based on arelationship between the Fourier transform of the corresponding HF observationsand 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 twomedia are given, one to three-dimensional geometry of the HP interface can beiteratively calculated. As a case study, we construct a HP model for thelithosphere of the Ordos geological block and its adjacent area in China, inwhich three-dimensional geometry of the upper crustal HP interface isestimated. It is found that the geometry of this HP interface distribute unevenin a magnitude of dozens of km. With this HP model, the geotherms for the Ordosgeological block and its adjacent area is calculated further, which fit theconstraints from the studies on the xenolith and tectonics well.

A heat production model for stable continental lithosphere by the inversion of the surface heat flows