commit 255caafff86199c794ab3806cd2239eff32a331c
parent 4b45b2c20ee90c421e248df474d70892c3490039
Author: Anders Damsgaard <anders@adamsgaard.dk>
Date: Wed, 4 Sep 2019 13:19:39 +0200
Remove fig7 of normalized shear velocities now that fig6 is rate controlled
Diffstat:
5 files changed, 4 insertions(+), 12 deletions(-)
diff --git a/continuum-granular-manuscript1.tex b/continuum-granular-manuscript1.tex
@@ -119,7 +119,7 @@ Future research will investigate how wide grain-size distributions affect strain
\label{sub:numerical_solution_procedure}
The presented formulation is applicable to any spatial dimensionality.
For the purposes of this study we apply it in a 1D spatial reference system.
-The axis $z$ is pointed upwards with a domain length of $L_z$.
+Axis $x$ is along flow and axis $z$ is pointed upwards with a domain thickness of $L_z$.
Shear deformation is restricted to occur in horizontal (x) shear zones.
We assign depth coordinates $z_i$ and fluidity $g_i$ to a regular grid with ghost nodes and cell spacing $\Delta z$.
The normal stress is assumed to increase with depth due to lithostatic pressure from the overburden ($\sigma_\text{n}(z) = \int^{z'=L_z}_{z'=z} \rho_\text{s} \phi G dz' + \sigma_\text{n,t}$), where G is the magnitude of gravitational acceleration and $\sigma_\text{n,t}$ is the normal stress applied on the top of the domain.
@@ -166,6 +166,9 @@ We use a representative grain size of $d = 0.04$ m, a grain material density of
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}.
+Importantly, the resultant shear velocities are in this setup not limited by anything but sediment kinematics.
+The simulated velocities are for the most part far greater than any glacial setting, where horizontal stresses keep ice masses in place over weak beds.
+
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}).
@@ -281,17 +284,6 @@ The shear velocities during the first cycle ($t<1$ d) is slightly different from
\end{center}
\end{figure*}
-\begin{figure*}[htbp]
- \begin{center}
- \includegraphics[width=15.0cm]{experiments/fig7.pdf}
- \caption{\label{fig:stick_slip_depth_normalized}%
- Pore-pressure diffusion and normalized strain distribution with depth with a sinusoidal water-pressure forcing from the top (Fig.~\ref{fig:stick_slip}).
- The forcing has a daily periodocity, and plot lines are one hour in simulation time apart.
- The horizontal magenta line marks skin depth from Eq.~\ref{eq:skin_depth}.
- }
- \end{center}
-\end{figure*}
-
\begin{figure}[htbp]
\begin{center}
\includegraphics[width=7.5cm]{experiments/fig8.pdf}
diff --git a/experiments/fig1.pdf b/experiments/fig1.pdf
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diff --git a/experiments/fig2.pdf b/experiments/fig2.pdf
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diff --git a/experiments/fig3.pdf b/experiments/fig3.pdf
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diff --git a/experiments/fig6.pdf b/experiments/fig6.pdf
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