Formal sedimentation runout of a sloping gravity current
= Formal sedimentation runout of a sloping gravity current
{title2=$x_{\max}-x_0\sim(h_0/E)[e^{3\beta_*EB_o^{1/3}/v_s}-1]$}
Extrapolating the leading <weak-settling attenuation of a sloping gravity current> to zero flux gives $x_{\max}-x_0=(h_0/E)[\exp(3\beta_*EB_o^{1/3}/v_s)-1]$. Since speed tends to zero there, the weak-settling assumption fails in the terminal region; this is a formal leading-model estimate, not a uniformly accurate full-flow runout.