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\begin{document}

\title{Modeling Active Layer Depth of Permafrost Changing Surface Boundary
Conditions}



\author[1]{MODI ZHU}%
\author[1]{Jingfeng Wang}%
\author[1]{Husayn Sharif}%
\author[2]{Valeriy Ivanov}%
\author[3]{Aleksey Sheshukov}%
\affil[1]{Gatech}%
\affil[2]{University of Michigan}%
\affil[3]{Kansas State University}%


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  \date{June 18, 2024}


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\begin{abstract}
A physically based model is formulated for the active layer depth of
permafrost under changing boundary condition instead of constant
boundary condition considered in the traditional Stefan problem. Time
varying ground heat flux is obtained from net radiation and surface
temperature using the Maximum Entropy Production (MEP) model as the
driver of the active layer melting process. Conductive heat flux at the
melting front is approximated in terms of an analytical function of
ground heat flux. The simulated active layer depth is in good agreement
with the field observations.%
\end{abstract}%



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