manus_continuum_granular1

manuscript files for first continuum-till paper
git clone git://src.adamsgaard.dk/manus_continuum_granular1
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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:
Mcontinuum-granular-manuscript1.tex | 2+-
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.