In this paper the effect of transient uplift/erosion on the relationship between surface heat flow and heat generation for truncated exponential model of radiogenic heat source distribution and basal asthenospheric convection is investigated. Asthenospheric convection is described by a parameterized model, in the form of a nonlinear heat flux boundary condition involving basal temperature and mantle internal temperature. This boundary condition has been linearized and the analytical solution of the problem is obtained by the eigenvalue-eigenfunction expansion method. The analytical solution is used to derive the nature of surface heat flow and heat generation relationship. The results show that the linear relationship is maintained during the uplift/erosion and the estimates of the slope of the linear relationship are different from the depth scale of the exponential model and increase with the rate of uplift/erosion. The estimates of the reduced heat flow also increase with the rate of uplift/erosion. These results would find applications in the interpretation of linear surface heat flow and heat generation relationship which is observed in different tectonic environment.
Volume 131, 2022
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