commit efa23a2f8c8a9a204314cba0fd1093d6a9767962
parent a000b38002b3aaa8a2024d4e3d264770be16b2cc
Author: Anders Damsgaard <anders@adamsgaard.dk>
Date: Tue, 2 Jul 2019 13:25:10 +0200
Add units to variables in alternate skin depth equation
Diffstat:
1 file changed, 1 insertion(+), 1 deletion(-)
diff --git a/continuum-granular-manuscript1.tex b/continuum-granular-manuscript1.tex
@@ -229,7 +229,7 @@ As long as fluid and diffusion properties are constant, an analytical solution t
= \sqrt{ \frac{k}{\phi\mu_\text{f}\beta_\text{f}\pi f} },
\label{eq:skin_depth}
\end{equation}
-where $D$ is the hydraulic diffusivity and $P$ is the period of the oscillations.
+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.
Figure~\ref{fig:skin_depth} shows the skin depth for water under a range of permeabilities and forcing frequencies.