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A Letter from the Past, Part II

Sam Herreid
samherreid.github.io — May 2026

Abstract

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Introduction

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The uniform debris cover hypothesis predicts that a sufficiently thick and laterally continuous debris mantle will drive the glacier surface toward thermal equilibrium with its surroundings. For a debris layer of thickness $h$ and thermal conductivity $k$, the melt rate $\dot{m}$ scales approximately as: $$\dot{m} \approx \frac{k \, \Delta T}{h \, L_f \, \rho_i}$$ where $\Delta T$ is the temperature difference across the layer, $L_f$ is the latent heat of fusion, and $\rho_i$ is the density of ice.

Discussion

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