manus_continuum_granular1

manuscript files for first continuum-till paper
git clone git://src.adamsgaard.dk/manus_continuum_granular1
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commit 6c58a3053baed5697e065cc4acbb1a21de4a97bb
parent 428a5b9351b4ccbdec20a644864c7df027508483
Author: Anders Damsgaard <anders@adamsgaard.dk>
Date:   Mon, 24 Jun 2019 10:21:01 +0200

Add abstract from IGS

Diffstat:
Mcontinuum-granular-manuscript1.tex | 15++++++++++++++-
1 file changed, 14 insertions(+), 1 deletion(-)

diff --git a/continuum-granular-manuscript1.tex b/continuum-granular-manuscript1.tex @@ -65,7 +65,7 @@ maxcitenames=2, backend=bibtex8]{biblatex} \bibliography{BIBnew.bib} %%% TITLE -\title{Methods for coupled continuum modeling of granular flows and porewater} +\title{A new continuum model for subglacial till based on granular rheology} \author{Anders Damsgaard} \date{Latest revision: \today} @@ -73,6 +73,19 @@ maxcitenames=2, backend=bibtex8]{biblatex} \maketitle +\begin{abstract} +The mechanical properties of subglacial sediments govern the physical behavior of glaciers and ice sheets moving over sedimentary beds. +Laboratory experiments and field observations have established that subglacial sediments in general follow the non-linear Mohr–Coulomb rheological behavior that is typical for granular sediments. +However, the Mohr–Coulomb rheology does not by itself describe the spatial distribution of strain, nor the rate-dependent friction and dilation observed in inertial granular flows. +Discrete-element models quantify these mechanical properties in simple granular materials, and can provide insight into the micro-mechanics and transient effects during deformation of sediment and porewater. +However, the associated computational costs are too intense to allow for coupling to glacier models or for analyzing larger-scale subglacial bedform evolution. +Here, we present progress toward a water-saturated granular continuum model that is consistent with laboratory experiments and generalizes to Mohr–Coulomb behavior at large scales. +Our formulation draws heavily on recent advances in the field of granular physics that have produced continuum formulations for dry granular flows. +We generalize these previous models to a water-saturated granular flow, by comparing the behavior of the continuum formulation to grain-scale simulations with the discrete-element method and to published results of laboratory till deformation. +\end{abstract} + + + \section{Governing equations}% \label{sec:governing_equations}