manus_continuum_granular1

manuscript files for first continuum-till paper
git clone git://src.adamsgaard.dk/manus_continuum_granular1
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commit 2155b2767f7cc48c73887962b690c097dba5b7a2
parent 215521adeec48458e93e0effcb3f4076ddf3bcfb
Author: Anders Damsgaard <anders@adamsgaard.dk>
Date:   Mon,  7 Oct 2019 11:32:09 +0200

Work on intro

Diffstat:
Mcontinuum-granular-manuscript1.tex | 29+++++++++++++----------------
1 file changed, 13 insertions(+), 16 deletions(-)

diff --git a/continuum-granular-manuscript1.tex b/continuum-granular-manuscript1.tex @@ -50,29 +50,26 @@ We show that past pulses in water pressure can transfer shear away from the ice- \section{Introduction}% \label{sec:introduction} Subglacial sediment deformation is in many settings of primary importance to glacier flow \citep[e.g.][]{Boulton1974, Engelhardt1990, Fischer1994, Truffer2006}. -The rheology of the sediment is long debated \citep[e.g.][]{Alley1986, Boulton1987, Kamb1991, Iverson1995, Hindmarsh1997, Hooke1997, Fowler2003, Kavanaugh2006, Iverson2010, Hart2011}. -There are several reasons for the long-standing debate. -For considerations of till erosion, transport, and deposition, it is necessary to be able to quantify the strain distribution inside the sediment as the glacier flow shears it from above. +Sediment mechanics influence glacier stability, sediment transport, and bedform genesis, which is why till rheology is long debated \citep[e.g.][]{Alley1986, Boulton1987, Kamb1991, Iverson1995, Hindmarsh1997, Hooke1997, Fowler2003, Kavanaugh2006, Iverson2010, Hart2011}. +Modeling of till erosion, transport, and deposition requires quantification of strain distribution in the sediment. +With analytical models or numerical continuum models -If subglacial sediment movement is modeled analytical and numerical modeling, it requires unique links between stress and strain rate. - -Till continuity (Alley and Cuffey). -Landform development (Hindmarsh, Fowler, Schoof). - - -Early on, till was assumed to be viscous \citep{Boulton1987} which allowed the formulation of analytical solutions to the coupled ice-till problem \citep[e.g.][]{Walder1994, Hindmarsh1999, Fowler2000}. -Viscous materials loose all strength if deformation rates approach zero, and strength is without an upper bound as rates increase. -Resultant glacier sliding laws are similar to hard-bed sliding laws without cavitation \citep[e.g.][]{Budd1979}. +Early on, till was assumed to be viscous \citep{Boulton1987} which allowed the formulation of analytical solutions to the coupled ice-till problem \citep[e.g.][]{Alley1987, Walder1994, Hindmarsh1999, Fowler2000}. +The viscous rheology implies that the till looses all strength if deformation rates approach zero, and the till strength is without an upper bound as strain rate increases. +Resultant glacier sliding laws are similar to hard-bed sliding laws without cavitation \citep[e.g.][]{Budd1979}, acting as a negative feedback on perturbations in glacier flow rate. However, laboratory experiments on tills \citep[e.g.][]{Kamb1991, Iverson1998, Tulaczyk2000, Rathbun2008, Iverson2010, Iverson2015} and field observations \citep[e.g.][]{Iverson1995, Hooke1997, Tulaczyk2006} have concluded that till strength is nearly independent of deformation rate, and behaves according to Mohr-Coulomb plasticity. -Beneath the Mohr-Coulomb yield strength there can be slight creep with a highly-nonlinear rate dependence \citep[e.g.][]{Kamb1991, Damsgaard2016, Hart2019}. -The presence of water can add a transient rate dependence due to volumetric adjustmend during early shear \citep[e.g.][]{Iverson1997, Moore2002, Damsgaard2015}, but the rate dependence is generally shortlived. + +In some cases, it has been observed that till strength slightly decreases at faster shear rates \citep{Iverson1998, Iverson2015}, which could potentially amplify changes in glacier velocities. +The presence of water can add a transient rate dependence due to volumetric adjustmend during early shear \citep[e.g.][]{Iverson1997, Moore2002, Damsgaard2015}, but this rate dependence is generally shortlived. +Furthermore, pre-failure creep can be contributed by adjustment of sediment-internal stresses, giving a highly-nonlinear rate dependence \citep[e.g.][]{Kamb1991, Damsgaard2016, Hart2019}. Besides smaller scale laboratory and field investigations, the basal sliding problem is investigated by inverting observations of glacier-surface flow velocities to subglacial sliding physics. -At Whillans Ice Plain the velocities vary three orders of magnitude during a tidal cycle, and are contributed by basal deformation \citep[e.g.][]{Bindschadler2003, Tulaczyk2006}. -The inferred nonlinearity manifests itself in stress exponent values from 2 to over 10 \citep[e.g.][]{Tulaczyk2006, Gudmundsson2006, King2011, Gudmundsson2011, Walker2012, Rosier2014, Goldberg2014, Thompson2014, Rosier2015, Gillet-Chaulet2016, Minchew2016}. +Ice streams primarily move by sliding and subglacial sediment deformation, and velocities can vary by three orders of magnitude during a tidal cycle \citep[e.g.][]{Bindschadler2003, Tulaczyk2006}. +The nonlinearity manifests itself in stress exponent values from 2 to over 10 \citep[e.g.][]{Tulaczyk2006, Gudmundsson2006, King2011, Gudmundsson2011, Walker2012, Rosier2014, Goldberg2014, Thompson2014, Rosier2015, Gillet-Chaulet2016, Minchew2016}. The degree of non-linearity may pose drastically different contributions to global mean sea-level rise in future scenarios \citep[e.g.][]{Parizek2013, Ritz2015}. +% Till continuity (Alley and Cuffey). % Damsgaard2013