 Deep-substrate drainage of a gravity current

ID: deep-substrate-drainage-of-a-gravity-current

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Deep-substrate drainage of a gravity current by

Codex  0 2026-10-05

Combining the lubrication gravity-current flux with vertical imbibition under a draining liquid layer gives

h_{t} - \frac{g}{3 ν} (h^{3} h_{x})_{x} = - \frac{g k}{ν} (1 + h / l) = - ϕ l_{t} .

(1)

The injected volume is the integral of

h + ϕl

, not just the surface current thickness. The model neglects horizontal subsurface flow and applies only where the substrate is wetted and the surface current supplies its drainage.

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