Topographic Correction of Geothermal Heat Flux in Greenland and Antarctica

We present a new approach to account for the influence of subglacial topography on geothermal heat flux beneath Greenland and Antarctic ice sheets. first establish simple empirical proportionality between local topographic relief within given radius, based synthesis existing observations these properties elsewhere Earth. This analysis essentially yields high-pass filter that can be readily applied large-scale fields render them consistent with known topography. avoids both geometric limitations analytic models complex boundary conditions required by numerical flow models, yet it also produces results are those methods, example, increased valleys decreased along ridges. Comparison borehole-derived suggests our correction is valid non-ice-covered areas Earth borehole location uncertainty >100 m limit value its inferred flux. Ice-sheet-wide application this indicates effect upon as important choice regional field across small portion Antarctica (2%) larger (13%), where best resolved. suggest spatial variability in due most consequential slower-flowing portions sheets, there no frictional heating basal sliding. conclude studies interactions sheets must consider at sub-kilometer horizontal scales.