manus_continuum_granular1

manuscript files for first continuum-till paper
git clone git://src.adamsgaard.dk/manus_continuum_granular1
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commit 414d1a4886ac2bbc93a0d5858a8aa096706f61bb
parent 6740f63f44df336759255cd24686db86c0434d37
Author: Anders Damsgaard <anders@adamsgaard.dk>
Date:   Thu, 21 Nov 2019 13:52:14 +0100

Update table with parameter values

Diffstat:
MBIBnew.bib | 13+++++++++++++
Mcontinuum-granular-manuscript1.tex | 37+++++++++++++++----------------------
2 files changed, 28 insertions(+), 22 deletions(-)

diff --git a/BIBnew.bib b/BIBnew.bib @@ -9196,3 +9196,16 @@ Winton and A. T. Wittenberg and F. Zeng and R. Zhang and J. P. Dunne}, title = {Characteristics of the bed of the Lower Columbia Glacier, Alaska}, journal = {J. Geophys. Res.: Solid Earth} } +https://doi.org/10.1680/geot.1996.46.2.197 + +@article{Tika1996, + doi = {10.1680/geot.1996.46.2.197}, + year = 1996, + publisher = {Thomas Telford Ltd.}, + volume = {46}, + number = {2}, + pages = {197--233}, + author = {T. E. Tika and P. R. Vaughan and L. J. L. J. Lemos}, + title = {Fast shearing of pre-existing shear zones in soil}, + journal = {G{\'{e}}otechnique} +} diff --git a/continuum-granular-manuscript1.tex b/continuum-granular-manuscript1.tex @@ -315,35 +315,27 @@ A rate-controlled setup is the opposite end member, where changes in bed frictio \begin{table*}[htbp] {\scriptsize - \begin{tabular}{llllllll} + \begin{tabular}{llllll} \toprule - Parameter & Symbol & Units & DEM particles & Caesar Till & Storglaci\"aren & Two Rivers & WIS \\ + Parameter & Symbol & Units & DEM particles & Idealized till \\ \midrule - Friction coefficient & $\mu_\text{s}$ & -- & $0.404_\text{a}$ & $0.532_\text{}$ & $0.494_\text{b}$ & $0.321_\text{b}$ & 0.443$_\text{c}$ \\ - Cohesion & $C$ & kPa & $0_\text{a}$ & $-6.5_\text{}$ & $5.0_\text{b}$ & $14_\text{b}$ & 3.0$_\text{c}$ \\ - Representative grain size & $d$ & m & $0.04$ & -- & $1.0\times10^{-3}$ & $1.0\times10^{-3}$ & $1.0\times10^{-3}$ \\ - Hydraulic permeability & $k$ & m$^2$ & $2.0\times10^{-17}_\text{d}$ & -- & $1.3\times10^{-14}_\text{e}$ & $1.3\times10^{-17}_\text{?}$ & $4.9\times10^{-17}_\text{f}$ \\ - Nonlocal amplitude & $A$ & -- & $0.40_\text{a}$ & -- & $0.40_\text{a}$ & $0.40_\text{a}$ & $0.40_\text{a}$ \\ - Nonlinear rate dependence & $b$ & -- & $0.9377_\text{g}$ & -- & $0.9377_\text{g}$ & $0.9377_\text{g}$ & $0.9377_\text{g}$ \\ - 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 & $\phi$ & -- & $0.25_\text{a}$ & -- & $0.22_\text{h}$ & $0.37_\text{h}$ & $0.35_\text{?}$ \\ + Friction coefficient & $\mu_\text{s}$ & -- & $0.404_\text{a}$ & $0.40$ \\ + Cohesion & $C$ & kPa & $0_\text{a}$ & $0$ \\ + Representative grain size & $d$ & m & $0.04$ & $1.0\times10^{-3}$ \\ + Hydraulic permeability & $k$ & m$^2$ & $2\times10^{-17}_\text{b}$ & $2\times10^{-17}$ \\ + Nonlocal amplitude & $A$ & -- & $0.50$ & $0.40_\text{c}$ \\ + Nonlinear rate dependence & $b$ & -- & $0.022$ & $0.94_\text{c}$ \\ + Grain material density & $\rho_\text{s}$ & kg m$^{-3}$ & $2.6\times10^3_\text{a}$ & $2.6\times10^3$ \\ + Porosity & $\phi$ & -- & $0.25_\text{a}$ & $0.25$ \\ \bottomrule \end{tabular} } \caption{\label{tab:params}% - Material parameters for model simulations 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: + Material parameters for model simulations emulating discrete element method (DEM) particles \citep[e.g.,][]{Damsgaard2013}, and two idealized tills with varying grain size distribution. + Parameter values from the literature are used where marked with a reference symbol: a: \citet{Damsgaard2013}, - b: \citet{Iverson1998}, - c: \citet{Tulaczyk2000}, - d: \citet{Damsgaard2015}, - e: \citet{Iverson1994}, - f: \citet{Leeman2016}, - g: \citet{Henann2016}, - h: \citet{Iverson1997}. + b: \citet{Damsgaard2015}, + c: \citet{Henann2016}. } \end{table*} @@ -354,6 +346,7 @@ A rate-controlled setup is the opposite end member, where changes in bed frictio \begin{center} \includegraphics[width=7.5cm]{experiments/fig-rate_dependence.pdf} \caption{\label{fig:rate_dependence}% + \nocite{Tika1996} \textbf{a:} Rate dependence in till friction from laboratory experiments \citep[after][]{Iverson2010}. \textbf{b:}