Dv. Ramana et Rn. Singh, EFFECTS OF TRANSIENT UPLIFT EROSION ON THE SURFACE HEAT-FLOW AND HEAT-GENERATION RELATIONSHIP IN PRESENCE OF SMALL-SCALE ASTHENOSPHERIC CONVECTION, Proceedings of the Indian Academy of Sciences. Earth and planetary sciences, 103(1), 1994, pp. 27-36
In this paper the effect of transient uplift/erosion on the relationsh
ip between surface heat flow and heat generation for truncated exponen
tial model of radiogenic heat source distribution and basal asthenosph
eric convection is investigated. Asthenospberic convection is describe
d by a parameterized model, in the form of a nonlinear heat flux bound
ary condition involving basal temperature and mantle internal temperat
ure. This boundary condition has been linearized and the analytical so
lution of the problem is obtained by the eigenvalue-eigenfunction expa
nsion method. The analytical solution is used to derive the nature of
surface heat flow and heat generation relationship. The results show t
hat the linear relationship is maintained during the uplift/erosion an
d the estimates of the slope of the linear relationship are different
from the depth scale of the exponential model and increase with the ra
te of uplift/erosion. The estimates of the reduced heat flow also incr
ease with the rate of uplift/erosion. These results would find applica
tions in the interpretation of linear surface heat flow and heat gener
ation relationship which is observed in different tectonic environment
.