= Wave-driven ice-band compaction
{title2=$-\partial_xF=\kappa F$}
If forward-going <surface-gravity-wave energy> decays as $a^2(x)=a_0^2e^{-\kappa x}$ and local wave force is $F=C\rho_wgR^2a^2$, its spatial decrease is $-\partial_xF=C\rho_wgR^2\kappa a^2$. In a weak-reflection independent-layer approximation, $\kappa\simeq pR^2/d$. Standard deep-water <wave radiation stress> gives $C=1/2$, hence a compaction-force density $\rho_wgpR^4a^2/(2d)$. Different amplitude or force conventions change the coefficient; the force formula alone does not fix $\kappa$. This quantity is force per horizontal area, not automatically the three-dimensional <stress> in the ice skeleton.
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