commit 73e1999a3de80acf4ccf935e47a6650b4aa928b7
parent 479cc97e83f83f54ab751cb3cf4b88d84fcd71ef
Author: Anders Damsgaard <anders@adamsgaard.dk>
Date: Thu, 10 Oct 2019 16:05:00 +0200
Update skin depth discussion
Diffstat:
1 file changed, 1 insertion(+), 0 deletions(-)
diff --git a/continuum-granular-manuscript1.tex b/continuum-granular-manuscript1.tex
@@ -533,6 +533,7 @@ As long as fluid and diffusion properties are constant, an analytical solution t
where $D$ is the hydraulic diffusivity [m$^2$/s] and $P$ [s] is the period of the oscillations.
The remaining terms were previously defined.
The relation implies that the amplitude in water-pressure forcing does not influence the maximum depth of slip.
+However, the forcing amplitude determines if pressure anomalies at depth are sufficiently large to facilitate shear.
Figure~\ref{fig:skin_depth} shows the skin depth for water under a range of permeabilities and forcing frequencies.
The stick-slip experiments (Fig.~\ref{fig:stick_slip}) correspond to a skin depth of 2.2 meter.
Practically all of the shear strain through a perturbation cycle occurs above the skin depth (magenta line in Fig.~\ref{fig:stick_slip_depth}).
