manus_continuum_granular1

manuscript files for first continuum-till paper
git clone git://src.adamsgaard.dk/manus_continuum_granular1
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commit b8512897d8f7150b437612cea3af1caf268372d1
parent a780843ee4b1e0efde747c64359d4b2e0f7ba5ba
Author: Anders Damsgaard <anders@adamsgaard.dk>
Date:   Tue,  9 Jul 2019 14:28:01 +0200

Add more parameter values to table

Diffstat:
Mcontinuum-granular-manuscript1.tex | 46+++++++++++++++++++++++++++++++---------------
Aexperiments/damsgaard2013-fig8.pdf | 0
2 files changed, 31 insertions(+), 15 deletions(-)

diff --git a/continuum-granular-manuscript1.tex b/continuum-granular-manuscript1.tex @@ -157,29 +157,36 @@ These values are constrained from experiments on glass beads \citep{Damsgaard201 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}). \begin{table}[htbp] - \begin{tabular}{llllll} + {\scriptsize + \begin{tabular}{lllllll} \toprule - Parameter & Symbol & Units & Storglaci\"aren & WIS & Two Rivers \\ + Parameter & Symbol & Units & DEM particles & Storglaci\"aren & WIS & Two Rivers \\ \midrule - Friction coefficient & $\mu_\text{s}$ & -- & $0.494_\text{a}$ & 0.443$_\text{b}$ & $0.321_\text{a}$ \\ - Cohesion & $C$ & kPa & $5.0_\text{a}$ & 3.0$_\text{b}$ & $14_\text{a}$ \\ - Representative grain size & $d$ & m & $1.0\times10^{-3}$ & $1.0\times10^{-3}$ & $1.0\times10^{-3}$ \\ - Hydraulic permeability & $k$ & m$^2$ & $1.3\times10^{-14}_\text{c}$ & $4.9\times10^{-17}_\text{d}$ & $1.3\times10^{-17}_\text{?}$ \\ - Nonlocal amplitude & $A$ & -- & $0.40_\text{e}$ & $0.40_\text{e}$ & $0.40_\text{e}$ \\ - Non-linear rate dependence beyond yield & $b$ & -- & $0.9377_\text{f}$ & $0.9377_\text{f}$ & $0.9377_\text{f}$ \\ + Friction coefficient & $\mu_\text{s}$ & -- & $0.404_\text{a}$ & $0.494_\text{b}$ & 0.443$_\text{c}$ & $0.321_\text{b}$ \\ + Cohesion & $C$ & kPa & $0_\text{a}$ & $5.0_\text{b}$ & 3.0$_\text{c}$ & $14_\text{b}$ \\ + Representative grain size & $d$ & m & $0.04$ & $1.0\times10^{-3}$ & $1.0\times10^{-3}$ & $1.0\times10^{-3}$ \\ + Hydraulic permeability & $k$ & m$^2$ & $2.0\times10^{-17}_\text{d}$ & $1.3\times10^{-14}_\text{e}$ & $4.9\times10^{-17}_\text{f}$ & $1.3\times10^{-17}_\text{?}$ \\ + Nonlocal amplitude & $A$ & -- & $0.40_\text{a}$ & $0.40_\text{a}$ & $0.40_\text{a}$ & $0.40_\text{a}$ \\ + Nonlinear rate dependence beyond yield & $b$ & -- & $0.9377_\text{g}$ & $0.9377_\text{g}$ & $0.9377_\text{g}$ & $0.9377_\text{g}$ \\ + Grain material density & $\rho_\text{s}$ & kg m$^{-3}$ & $2.6\times10^3_\text{a}$ & $2.6\times10^3_\text{g}$ & $2.6\times10^3_\text{g}$ & $2.6\times10^3_\text{g}$ \\ + Porosity & $\phi$ & -- & $0.25_\text{a}$ & $0.22_\text{h}$ & $0.35_\text{?}$ & $0.37_\text{h}$ \\ \bottomrule \end{tabular} + } \caption{\label{tab:params}% - Material parameters for experiments emulating the subglacial till under the mountain glacier Storgl\"aciaren, Sweden. \citep[e.g.][]{Iverson1995, Hooke1997, Iverson1998}, + Material parameters for experiments emulating discrete element method (DEM) particles \citep[e.g.][]{Damsgaard2013}, + the subglacial till under the mountain glacier Storgl\"aciaren, Sweden. \citep[e.g.][]{Iverson1995, Hooke1997, Iverson1998}, the West Antarctic Ice Sheet (WIS) till at the Upstream B site \citep[e.g.][]{Engelhardt1998, Tulaczyk2000, Leeman2016}, and the Two Rivers till of the Lake Michigan Lobe of the Laurentide palaeo-ice sheet \citep[e.g.][]{Clark1994, Iverson1998}. The parameter values originate from the following references: - a: \citet{Iverson1998}, - b: \citet{Tulaczyk2000}, - c: \citet{Iverson1994}, - d: \citet{Leeman2016}, - e: \citet{Damsgaard2013}, - f: \citet{Henann2016}, + a: \citet{Damsgaard2013}, + b: \citet{Iverson1998}, + c: \citet{Tulaczyk2000}, + d: \citet{Damsgaard2015}, + e: \citet{Iverson1994}, + f: \citet{Leeman2016}, + g: \citet{Henann2016}, + h: \citet{Iverson1997}, } \end{table} @@ -202,6 +209,15 @@ For the first experiment with variable water pressure, we apply a water-pressure \begin{figure}[htbp] \begin{center} + \includegraphics[width=7.5cm]{experiments/damsgaard2013-fig8.pdf}\\ + %\includegraphics[width=7.5cm]{experiments/fig3.pdf} + \caption{\label{fig:strain_distribution}% + } + \end{center} +\end{figure} + +\begin{figure}[htbp] + \begin{center} \includegraphics[width=7.5cm]{experiments/fig2.pdf} \caption{\label{fig:till_simulation}% Steady-state strain distribution with no water-pressure variations with different till properties. diff --git a/experiments/damsgaard2013-fig8.pdf b/experiments/damsgaard2013-fig8.pdf Binary files differ.