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Table of contents
Chapter 1 : General introduction
1.1 Motivations
1.2 The physical processes of mush reawakening
1.3 Imaging unrest events and seismic properties of eruptible magmas
1.4 Manuscript organization and scientific questions
Chapter 2 : CFD-DEM Model
2.1 Introduction
2.2 Governing equations of the fluid phase
2.2.1 Mass conservation
2.2.2 Momentum conservation
2.2.3 Energy equation
2.2.4 State equations
2.2.5 Effect of the presence of the solid phase
2.3 Governing equations of the solids
2.3.1 Constitutive equations
2.3.2 Contact Model
2.3.2.a Collisional interactions
2.3.2.b Frictional interactions
2.3.3 Heat transfer between the solids
2.3.3.a Solid-Solid conduction
2.3.3.b Solid-Fluid-Solid conduction
2.3.3.c Relative importance of the two conduction modes
2.4 Couplings between the phases
2.4.1 Momentum coupling
2.4.2 Thermal coupling
2.5 Numerical solver
2.5.1 Overview of the SIMPLE algorithm
2.5.2 DEM solver
2.5.3 Interpolation schemes
2.5.3.a Particle side
2.5.3.b Fluid side
2.5.4 Boundary conditions
2.5.5 Dimensionless numbers
Chapter 3 : Effects of lubrication on mush dynamics
3.1 Introduction
3.2 Method
3.2.1 Formulation of the BBO equation
3.2.2 CFD-DEM Model
3.3 Results
3.3.1 Grains scale
3.2.1.a Scaling of the relative importance of the forces exerted on a particle
3.2.1.b Dimensionless formulation
3.3.2 Macroscopic scale
3.2.2.a Experiment 1 : Rayleigh-Taylor instabilities
3.2.2.b Experiment 2 : Injection of a fresh magma into a mush
3.3.3 Interpretation
3.4 Discussion
3.4.1 Influence of the crystals size and shape
3.4.2 Comparison with other studies
3.4.3 Implication on magma rheology and magmatic system dynamics
3.4 Conclusion
Supplementary section S3.1
Supplementary section S3.2
Supplementary section S3.3
Supplementary section S3.4
Supplementary section S3.5
Chapter 4 : CFD-DEM modeling of recharge events within mush
4.1 Introduction
4.2 Method
4.2.1 Numerical method
4.2.2 Numerical setup and experiments
4.2.3 Dimensionless parameters
4.3 Results
4.3.1 Effect of buoyancy and viscosity
4.3.2 Injection velocity
4.3.3 Results summary
4.4 Discussion
4.4.1 Model limitations
4.4.2 Implication on mush dynamics and on the modeling of crystal-bearing magmas
4.5 Conclusion
Supplementary section S4.1
Supplementary section S4.2
Supplementary section S4.3
Chapter 5 : Numerical simulations of the mixing caused by a magma intruding a resident mush
5.1 Introduction
5.2 Method
5.1 Results
5.2 Discussion
5.1 Conclusion
Chapter 6 : The seismic properties of eruptible magmas
6.1 Introduction
6.2 Theoretical assumptions
6.3 Method
6.3.1 Conservative equations of the phases
6.3.2 Fluid-solid and solid-solid couplings
6.3.3 Calculation of the acoustical properties of the suspension
6.3.4 Magmas under consideration
6.4 Results
6.4.1 Magmas physical properties
6.4.2 Fluid-solid momentum coupling
6.4.3 Solids-solids momentum coupling
6.4.4 Wave velocities and attenuation coefficients in suspensions
6.4.4.a Compressional waves
6.4.4.b Shear waves
6.4.5 Compressional waves in suspensions
6.4.6 Shear waves in suspensions
6.4.7 Application to magmas
6.5 Discussion
6.5.1 Limitations
6.5.2 Model validation
6.5.3 Implications for magmas
6.5 Conclusion
Supplementary section S6.1
Chapter 7 : General conclusions
Manuscript references
