From the grain to the continuum: two phase dynamics of a partially molten, polycrystalline aggregate

Workshop theme

The dynamics of partially molten rocks in Earth's interior are critical to a wide range of geodynamic phenomena. The generation and extraction of melt at mid-ocean ridges, the link between subduction and arc volcanism, the rheological behavior of the deep interior, the chemical differentiation of Earth, and the ability to image these processes with geophysical observations all fundamentally rely on the grain-scale physics of partially molten systems.

Future breakthroughs on grain-scale processes in the partially molten mantle will require collaboration and innovation among theoretical, computational, and experimental subdisciplines. Physical models of melt migration, melt-rock reaction, and textural evolution must all be integrated with models of elastic, plastic, and viscous deformation in the solid state. These models need to agree with experimental observations while stimulating future experiments to test unconstrained aspects of the models. Finally, these physical models must be encapsulated so that grain-scale dynamics, at the millimeter scale and below, can be coarsened to geologically relevant scales of kilometers. This final step is particularly challenging given that (1) the grain-scale processes inherently occur in discontinuous media while the large-scale phenomena are preferably treated as continua, (2) the grain-scale processes may, themselves, depend upon sub-grain, atomistic, modeling, and (3) the material properties relevant to the upper mantle exhibit strongly non-linear behavior.

To overcome these major hurdles requires interaction and collaboration among experimentalists, computational geodynamicists, and applied mathematicians. The aim of this workshop is to bring together leading scientists from solid-earth science, materials science, and applied mathematics to discuss the current state-of-the-art and future directions in grain-scale physical models for partially molten systems, magma dynamics in the laboratory, elasticity theory and seismic wave propagation in partially molten rocks, and upscaling and homogenisation methods for applying grain-scale models to geodynamic processes.

Applications for this workshop are now closed

The Institute kindly requests that any papers published as a result of this programme’s activities are credited as such. Please acknowledge the support of the Institute in your paper using the following text:

The author(s) would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme From the grain to the continuum: two phase dynamics of a partially molten, polycrystalline aggregate, where work on this paper was undertaken. This work was supported by EPSRC grant EP/K032208/1.

Timetable

Monday 11th April 2016
09:00 to 09:50	Registration	No Room Required
09:50 to 10:00	Welcome from John Toland (INI Director)	Room 1
10:00 to 11:00	David Kohlstedt University of Minnesota From stress-driven to reaction-driven melt segregation – the frog’s eye view (1)	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	David Kohlstedt University of Minnesota From stress-driven to reaction-driven melt segregation – the frog’s eye view (2)	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
13:30 to 14:30	Wenlu Zhu University of Maryland, College Park Physical Properties of Partially Molten Rocks from Microtomography Experiments and Digital Rock Physics	Room 1
14:30 to 15:30	Ken Golden University of Utah Multiscale analysis of sea ice - a partially melted, polycrystalline composite material	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Ken Golden University of Utah Multiscale analysis of sea ice - a partially melted, polycrystalline composite material	Room 1
17:00 to 18:00	Welcome Wine Reception	No Room Required

Tuesday 12th April 2016
09:00 to 10:00	Grigorios Pavliotis Imperial College London Homogenization methods (1)	Room 1
10:00 to 11:00	Grigorios Pavliotis Imperial College London Homogenization methods (2)	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Yasuko Takei University of Tokyo Constitutive mechanical relations of a partially molten rock in terms of grain boundary contiguity: an approach with an internal state variable	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
13:30 to 14:30	Ulrich Faul Massachusetts Institute of Technology Experimental constraints on melt distribution and its effect on the rheology and seismic properties of polycrystalline olivine	Room 1
14:30 to 15:30	Sash Hier-Majumder Royal Holloway, University of London Cross Scale Modeling of Melt Migration	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Leila Hashim Université d'Orléans Reconciling macroscopic olivine grain growth with the microscopic physical properties of the intergranular medium	Room 1

Wednesday 13th April 2016
09:00 to 10:00	Grigorios Pavliotis Imperial College London Homogenization methods (3)	Room 1
10:00 to 11:00	Grigorios Pavliotis Imperial College London Homogenization methods (4)	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Gideon Simpson Drexel University Application to McKenzie model (1)	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
13:30 to 14:30	Gideon Simpson Drexel University Application to McKenzie model (2)	Room 2
14:30 to 15:30	Yann Capdeville CNRS (Centre national de la recherche scientifique); Université de Nantes Non-periodic homogenization for seismic forward and inverse problems	Room 2
15:30 to 16:00	Afternoon Tea	No Room Required

Thursday 14th April 2016
10:00 to 11:00	Harro Schmeling Goethe-Universität Frankfurt Physics of mantle melting: two-phase flow, variable matrix viscosity and density effects	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Ralph Showalter Oregon State University Multiscale Systems for Flow and Transport	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
13:30 to 14:30	Claude le Bris ENPC - École des Ponts ParisTech; INRIA Paris - Rocquencourt Stochastic homogenization (1)	Room 1
14:30 to 15:30	Claude le Bris ENPC - École des Ponts ParisTech; INRIA Paris - Rocquencourt Stochastic homogenization (2)	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Stephen Morris University of Toronto The rippling instability of icicles	Room 1
19:30 to 22:00	Conference Dinner at Corpus Christi College	No Room Required

Friday 15th April 2016
10:00 to 11:00	Claude le Bris ENPC - École des Ponts ParisTech; INRIA Paris - Rocquencourt Stochastic homogenization (3)	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Claude le Bris ENPC - École des Ponts ParisTech; INRIA Paris - Rocquencourt Stochastic homogenization (4)	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
13:30 to 14:30	Neil Ribe CNRS (Centre national de la recherche scientifique); Université Paris Saclay Evolution of Anisotropy in Olivine Polycrystals	Room 1
14:30 to 15:30	Lars Hansen University of Oxford The development of seismic anisotropy in partially molten rocks: Laboratory observations	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Andrea Tommasi CNRS (Centre national de la recherche scientifique); Université de Montpellier How do melts change texture and anisotropy of mantle rocks	Room 1

From the grain to the continuum: two phase dynamics of a partially molten, polycrystalline aggregate

Organisers

Lars Hansen University of Oxford
Gideon Simpson Drexel University

Speakers

Yann Capdeville CNRS (Centre national de la recherche scientifique); Université de Nantes
Ulrich Faul Massachusetts Institute of Technology
Ken Golden University of Utah
Lars Hansen University of Oxford
Leila Hashim Université d'Orléans
Sash Hier-Majumder Royal Holloway, University of London
David Kohlstedt University of Minnesota
Claude le Bris ENPC - École des Ponts ParisTech; INRIA Paris - Rocquencourt
Stephen Morris University of Toronto
Grigorios Pavliotis Imperial College London
Neil Ribe CNRS (Centre national de la recherche scientifique); Université Paris Saclay
Harro Schmeling Goethe-Universität Frankfurt
Ralph Showalter Oregon State University
Gideon Simpson Drexel University
Yasuko Takei University of Tokyo
Andrea Tommasi CNRS (Centre national de la recherche scientifique); Université de Montpellier
Wenlu Zhu University of Maryland, College Park

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Participants

David Al-Attar University of Cambridge
Amiya Baruah Royal Holloway, University of London
Benoit Bevillard Université d'Orléans
Jed Brown University of Colorado; Argonne National Laboratory
Yann Capdeville CNRS (Centre national de la recherche scientifique); Université de Nantes
Isarapong Eksinchol University of Cambridge
Owen Evans Columbia University
Ulrich Faul Massachusetts Institute of Technology
Ken Golden University of Utah
Lars Hansen University of Oxford
Leila Hashim Université d'Orléans
Ian Hewitt University of Oxford
Sash Hier-Majumder Royal Holloway, University of London
Herbert Huppert University of Cambridge
Richard Katz University of Oxford
Boris Kaus Johannes Gutenberg-Universität Mainz; University of Southern California
Tobias Keller University of Oxford
David Kohlstedt University of Minnesota
Takehiro Koyaguchi University of Tokyo
Kundan Kumar Universitetet i Bergen
Claude le Bris ENPC - École des Ponts ParisTech; INRIA Paris - Rocquencourt
John Lister University of Cambridge
John MacLennan University of Cambridge
Simon Matthews University of Cambridge
Dan McKenzie University of Cambridge
Stephen Morris University of Toronto
Jerome Neufeld University of Cambridge
Grigorios Pavliotis Imperial College London
David Rees Jones University of Oxford
Neil Ribe CNRS (Centre national de la recherche scientifique); Université Paris Saclay
Guillaume Richard Université d'Orléans
John Rudge University of Cambridge
Harro Schmeling Goethe-Universität Frankfurt
Oliver Shorttle CALTECH (California Institute of Technology)
Ralph Showalter Oregon State University
Alex Song University College London
Dave Stegman University of California, San Diego
Yasuko Takei University of Tokyo
Andrew Turner University of Oxford
Garth Wells University of Cambridge
Andrew Wells University of Oxford