commit 45b047c1cf80423a60305390c0a1d4d1a35ff46d
parent bba1424c35f0616977cca5c95da6742c2ad72af7
Author: Anders Damsgaard <anders@adamsgaard.dk>
Date: Mon, 1 Jul 2019 22:17:05 +0200
Update figures with fixed solver
Diffstat:
6 files changed, 4 insertions(+), 3 deletions(-)
diff --git a/continuum-granular-manuscript1.tex b/continuum-granular-manuscript1.tex
@@ -148,11 +148,12 @@ The method is unconditionally stable and second-order accurate in time and space
\subsection{Simulation setup}
The spatial domain is two meters long and is discretized into 50 cells.
-We use a representative grain size of 0.04 m, a grain material density of 2600 kg/m$^3$, a porosity of 0.25, and a Coulomb-friction coefficient of 0.37.
+We use a representative grain size of $d = 0.04$ m, a grain material density of $\rho = 2600$ kg/m$^3$, a porosity of $\phi = 0.25$, and a Coulomb-friction coefficient of $\mu_\text{s} = 0.37$.
Dimensionless material parameters $A$ and $b$ from Eq.~\ref{eq:g_local} and~\ref{eq:cooperativity} are 0.4 and 0.9377, respectively.
These values are constrained from experiments on glass beads \citep{Damsgaard2013, Henann2016}.
+
For the first experiment with variable water pressure, we apply a water-pressure forcing amplitude of 50 kPa that modulates effective stress at the top around 100 kPa (Fig.~\ref{fig:stick_slip}).
\section{Results}%
@@ -210,7 +211,7 @@ For the first experiment with variable water pressure, we apply a water-pressure
\includegraphics[width=7.5cm]{experiments/fig5.pdf}
\caption{\label{fig:skin_depth}%
Skin depth of pore-pressure fluctuations (Eq.~\ref{eq:skin_depth}) with forcing frequencies ranging from yearly to hourly periods.
- The permeability range spans commonly encountered tills \citep{Schwartz2003}.
+ The permeability spans values common for tills \citep{Schwartz2003}.
}
\end{center}
\end{figure}
@@ -222,7 +223,7 @@ For the first experiment with variable water pressure, we apply a water-pressure
The water pressure variations vary with the same periodocity as the forcing, but with exponential decay in amplitude and increasing lag at depth.
The skin depth is defined as the distance where the fluctuation amplitude decreases to $1/e$ of its surface value.
As long as fluid and diffusion properties are constant,
- an analytical solution to skin depth in our system follows the form \citep[after Eq. 4.90 in][]{Turcotte2002},
+ an analytical solution to skin depth in our system follows the form \citep[after Eq.~4.90 in][]{Turcotte2002},
\begin{equation}
d_\text{s} = \left( \frac{k}{\phi\mu_\text{f}\beta_\text{f}\pi f} \right)^{1/2}
\label{eq:skin_depth}
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diff --git a/experiments/fig5.pdf b/experiments/fig5.pdf
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