Predicted emergent geothermal flux F_g as a function of methane clathrate thickness H_c and SP N₂ ice layer depth H_n. Predictions are constructed based on steady-state model of S. Kamata et al. (2019) containing a liquid H₂O ocean 60 km beneath SP, corresponding to a mean ice-shell thickness of 125 km. Thus, a clathrate layer of thickness H_c will lie beneath a solid H₂O ice layer of thickness = 60 − H_c.