# Melt in the Mantle

Created: | 2016-02-19 15:47 |
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Institution: | Isaac Newton Institute for Mathematical Sciences |

Description: | The Earth's mantle is almost entirely solid, but on geological timescales it convects vigorously, the well-known surface expression of this being plate tectonics. At depths up to ~100 km beneath plate-tectonic boundaries (mid-ocean ridges and subduction zones), and beneath ocean islands such as Hawaii, the mantle melts, and that melt rises to the surface to feed volcanism and form new crust. Such magmatism plays a key role in the chemical evolution and dynamics of our planet. Although the basic thermodynamics of melt generation in these settings is well understood, how the melt is transported to the surface is not, despite several decades of work on the problem. Furthermore, recent observational evidence suggests that mantle melting is not restricted to the near surface (top 100 km): it may occur within the mantle transition zone (410-660 km depth) and above the core-mantle boundary (2900 km). For these deeper instances of melting, an understanding of the dynamical and thermochemical characteristics is currently lacking.
Understanding the formation and migration of melt in the mantle presents a formidable scientific and mathematical challenge. One key challenge is in bridging diverse length scales - melt lies along grain boundaries at micron scales, may focus into channels at metre scales, and migrates over 100 km. Sophisticated mathematical techniques, such as homogenisation theory, are needed to map an understanding of physics at the smallest scales to plate-tectonic scales. Seismology offers a way to image melt in the mantle, but the development of new tools in inverse theory are required to extract that information. Models of melt transport are eventually cast as a series of coupled non-linear partial differential equations, which require advanced numerical techniques to solve. This programme will bring together a broad spectrum of mathematicians and solid Earth scientists to tackle these and other fundamental challenges of melt in the mantle. |

# Media items

This collection contains 77 media items.

### Media items

#### Magma generation and extraction beneath mid-ocean ridges and oceanic hotspots

Ito, G (University of Hawaii)

Monday 6th June 2016 - 14:00 to 14:45

**Collection**:
Melt in the Mantle

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 14 Jun 2016

#### Melt transport in the mantle: constraints from field observations and ideas for future work

Kelemen, P (Columbia University, Woods Hole Oceanographic Institution, American Museum of Natural History)

Monday 18th April 2016 - 16:00 to 17:00

**Collection**:
Melt in the Mantle

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 12 May 2016

#### Seismic imaging of mantle melting processes beneath volcanic arcs and backarc spreading centers

Wiens, D (Washington University in St. Louis)

Monday 6th June 2016 - 11:30 to 12:30

**Collection**:
Melt in the Mantle

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 14 Jun 2016

#### (De)compaction waves in porous viscoelastoplastic media and focused fluid flow

Yarushina, V (Institutt for energiteknikk — IFE)

Wednesday 17th February 2016 - 10:00 to 11:00

**Collection**:
Melt in the Mantle

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 19 Feb 2016

#### 3D Numerical Modelling of Compressible Coupled Magma/Mantle Dynamics With Adaptive Mesh Refinement

Heister, T - Dannberg, J (Texas A&M University)

Friday 10th June 2016 - 09:00 to 11:00

**Collection**:
Melt in the Mantle

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 16 Jun 2016

#### A four-field mixed finite element method for the Biot model and its solution algorithms

Yi, S-Y (University of Texas at El Paso)

Wednesday 8th June 2016 - 14:00 to 14:45

**Collection**:
Melt in the Mantle

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 14 Jun 2016

#### Advanced theories of two-phase flow in deformable porous media, including fluid-fluid interfaces

Hassanizadeh, S. Majid (Universiteit Utrecht)

Tuesday 16th February 2016 - 16:00 to 17:00

**Collection**:
Melt in the Mantle

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 19 Feb 2016

#### An Approach to Large Scale Computing of Problems form Science and Technology

Wittum, G (Goethe-Universität Frankfurt)

Thursday 9th June 2016 - 09:00 to 11:00

**Collection**:
Melt in the Mantle

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 14 Jun 2016

#### An Introduction to the Mantle Convection Community Project ASPECT

Heister, T

Thursday 19th May 2016 - 14:15 to 15:30

**Collection**:
Melt in the Mantle

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 1 Jun 2016

#### An overview of the two-phase-flow equations for magma dynamics

Rudge, J (University of Cambridge)

Tuesday 16th February 2016 - 09:00 to 10:00

**Collection**:
Melt in the Mantle

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 19 Feb 2016

#### Application to McKenzie model (1)

Simpson, G (Drexel University)

Wednesday 13th April 2016 - 11:30 to 12:30

**Collection**:
Melt in the Mantle

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 15 Apr 2016

#### Application to McKenzie model (2)

Simpson, G (Drexel University)

Wednesday 13th April 2016 - 13:30 to 14:30

**Collection**:
Melt in the Mantle

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 19 Apr 2016

#### Building a community model for robustness and extensibility

Brown, J (University of Colorado, Argonne National Laboratory)

Thursday 3rd March 2016 - 14:30 to 15:30

**Collection**:
Melt in the Mantle

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 10 Mar 2016

#### Compaction-driven fluid flow during metamorphism: its impacts on CO2 transfer, thermal advection and its competition...

Tian, M (Yale University, University of Oxford)

Thursday 17th March 2016 - 15:30 to 16:30

**Collection**:
Melt in the Mantle

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 1 Apr 2016

#### Computational Considerations for Magma Dynamics Simulation

Knepley, M (Rice University)

Friday 19th February 2016 - 14:30 to 15:30

**Collection**:
Melt in the Mantle

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 22 Feb 2016

#### Computational models of melt transport from source to surface

Keller, T (University of Oxford)

Tuesday 7th June 2016 - 11:30 to 12:30

**Collection**:
Melt in the Mantle

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 14 Jun 2016

#### Constitutive mechanical relations of a partially molten rock in terms of grain boundary contiguity: an approach with an...

Takei, Y (University of Tokyo)

Tuesday 12th April 2016 - 11:30 to 12:30

**Collection**:
Melt in the Mantle

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 14 Apr 2016

#### Cross Scale Modeling of Melt Migration

Hier-Majumder, S (Royal Holloway, University of London)

Tuesday 12th April 2016 - 14:30 to 15:30

**Collection**:
Melt in the Mantle

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 14 Apr 2016

#### Discretizations and multigrid solver for problems related to fluid flow

Grove, R (Clemson University)

Thursday 26th May 2016 - 14:15 to 15:30

**Collection**:
Melt in the Mantle

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 17 Jun 2016

#### Effect of partial melting on seismic velocity and attenuation: Polycrystal anelasticity at near-solidus temperatures

Takei, Y (University of Tokyo)

Wednesday 8th June 2016 - 11:30 to 12:30

**Collection**:
Melt in the Mantle

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 14 Jun 2016