M. K. Al-mashhadani, S. J. Wilkinson, and W. Zimmerman, Carbon dioxide rich microbubble acceleration of biogas production in anaerobic digestion, Chemical Engineering Science, vol.156, pp.24-35
DOI : 10.1016/j.ces.2016.09.011

F. Alobaid, N. Baraki, and B. Epple, Investigation into improving the efficiency and accuracy of CFD/DEM simulations, Particuology, vol.16, pp.41-53, 2014.
DOI : 10.1016/j.partic.2013.11.004

A. Amritkar, . Deb, &. Surya, and D. Tafti, Efficient parallel CFD-DEM simulations using OpenMP, Journal of Computational Physics, vol.256, pp.501-519, 2014.
DOI : 10.1016/j.jcp.2013.09.007

X. Z. An, C. X. Li, R. Y. Yang, R. P. Zou, and A. B. Yu, Experimental study of the packing of mono-sized spheres subjected to one-dimensional vibration, Powder Technology, vol.196, issue.1, pp.50-55, 2009.
DOI : 10.1016/j.powtec.2009.06.016

D. J. Andrews, 2002 A fault constitutive relation accounting for thermal pressurization of pore fluid, Journal of Geophysical Research: Solid Earth, vol.107, issue.B12

S. Badr, G. Gauthier, and . Gondret, Crater jet morphology, Physics of Fluids, vol.26, issue.3, p.33305, 1994.
DOI : 10.1063/1.2109747

R. Blumenfeld, S. Amitai, J. F. Jordan, and . Hihinashvili, Failure of the Volume Function in Granular Statistical Mechanics and an Alternative Formulation, Physical Review Letters, vol.116, issue.14, 2016.
DOI : 10.1063/1.4812149

F. Boyer, . Guazzelli, &. Elisabeth, and O. Pouliquen, Unifying Suspension and Granular Rheology, Physical Review Letters, vol.107, issue.18, 2011.
DOI : 10.1103/PhysRevE.83.031503

URL : https://hal.archives-ouvertes.fr/hal-01432411

C. Cassar, M. Nicolas, and O. Pouliquen, Submarine granular flows down inclined planes, Physics of Fluids, vol.106, issue.10, 2005.
DOI : 10.1115/1.1633575

R. Champallier, M. Bystricky, and L. Arbaret, Experimental investigation of magma rheology at 300mpa: From pure hydrous melt to 76vol, Letters, vol.267, issue.3, pp.571-583, 2008.

J. Chauchat and M. Médale, A three-dimensional numerical model for dense granular flows based on the <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi>??</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>I</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> rheology, Journal of Computational Physics, vol.256, pp.696-712
DOI : 10.1016/j.jcp.2013.09.004

M. A. Cook and K. S. Mortensen, Impact Cratering in Granular Materials, Journal of Applied Physics, vol.38, issue.13, pp.5125-5128, 1967.
DOI : 10.1063/1.1735222

C. Coulais, A. Seguin, and O. Dauchot, Shear Modulus and Dilatancy Softening in Granular Packings above Jamming, Physical Review Letters, vol.113, issue.19, 2014.
DOI : 10.1103/PhysRevLett.109.095703

URL : https://hal.archives-ouvertes.fr/hal-01422381

P. A. Cundall and O. D. Strack, A discrete numerical model for granular assemblies, G??otechnique, vol.29, issue.1, pp.47-65
DOI : 10.1680/geot.1979.29.1.47

W. Degruyter and C. Huber, A model for eruption frequency of upper crustal silicic magma chambers, Earth and Planetary Science Letters, vol.403, pp.117-130
DOI : 10.1016/j.epsl.2014.06.047

H. Elderfield and A. Schultz, Mid-Ocean Ridge Hydrothermal Fluxes and the Chemical Composition of the Ocean, Annual Review of Earth and Planetary Sciences, vol.24, issue.1, pp.191-224, 1996.
DOI : 10.1146/annurev.earth.24.1.191

G. R. Farrell, K. M. Martini, and N. Menon, Loose packings of frictional spheres, Loose packings of frictional spheres, pp.2925-2930, 2010.
DOI : 10.1103/PhysRevE.65.031304

D. Fraggedakis, Y. Dimakopoulos, and J. Tsamopoulos, Yielding the yield stress analysis: A thorough comparison of recently proposed elasto-visco-plastic (EVP) fluid models, Journal of Non-Newtonian Fluid Mechanics, vol.238, issue.VPF6, pp.170-188, 2016.
DOI : 10.1016/j.jnnfm.2016.11.007

G. Midi, On dense granular flows, The European Physical Journal E, vol.4, issue.4, pp.341-365, 2004.
DOI : 10.1142/S0219525901000358

URL : https://hal.archives-ouvertes.fr/hal-00000959

´. Guazzelli, &. Elisabeth, and J. Hinch, Fluctuations and instability in sedimentation. Annual review of fluid mechanics 43, pp.97-116, 2011.
URL : https://hal.archives-ouvertes.fr/hal-01432510

Y. Guo and C. Sinclair, Discrete Element Method Simulations for Complex Granular Flows, Annual Review of Fluid Mechanics, vol.47, issue.1, pp.21-46, 2015.
DOI : 10.1146/annurev-fluid-010814-014644

D. Jajcevic, . Siegmann, . Eva, C. Radeke, and J. G. Khinast, Large-scale CFD???DEM simulations of fluidized granular systems, Chemical Engineering Science, vol.98, pp.298-310
DOI : 10.1016/j.ces.2013.05.014

P. Jop, Y. Forterre, and O. Pouliquen, A constitutive law for dense granular flows, Nature, vol.94, issue.2, pp.727-730, 2006.
DOI : 10.1103/PhysRevLett.94.208001

URL : https://hal.archives-ouvertes.fr/hal-01432178

I. Karimfazli, I. A. Frigaard, and A. Wachs, Thermal plumes in viscoplastic fluids: flow onset and development, Journal of Fluid Mechanics, vol.208, pp.474-507
DOI : 10.1016/j.jnnfm.2010.04.013

M. Kaviany, Principles of Heat Transfer in Porous Media, 1995.

M. Khanal and C. Jayasundara, Role of particle stiffness and inter-particle sliding friction in milling of particles, Particuology, vol.16, pp.54-59
DOI : 10.1016/j.partic.2014.04.003

S. Kiesgen-de-richter, C. Hanotin, P. Marchal, S. Leclerc, F. Demeurie et al., Vibration-induced compaction of granular suspensions, The European Physical Journal E, vol.226, issue.7, p.74
DOI : 10.1006/jcis.2000.6798

C. Kloss, C. Goniva, A. Hager, S. Amberger, and S. Pirker, 2012 Models, algorithms and validation for opensource DEM and CFD-DEM, Progress in Computational Fluid Dynamics

P. Lagrée, . Staron, &. Lydie, and S. Popinet, The granular column collapse as a continuum: validity of a two-dimensional Navier???Stokes model with a ??(I)-rheology, Journal of Fluid Mechanics, vol.4, issue.378408, 2011.
DOI : 10.1088/0169-5983/41/6/065001

G. Lavorel and M. Le-bars, Sedimentation of particles in a vigorously convecting fluid, Physical Review E, vol.30, issue.4, p.46324, 2009.
DOI : 10.1046/j.1365-246x.2001.01561.x

URL : https://hal.archives-ouvertes.fr/hal-00432705

F. E. Loranca-ramos, J. L. Carrillo-estrada, and F. Pacheco-vázquez, 2015 Craters and granular jets generated by underground cavity collapse, Phys. Rev. Lett, vol.115, 28001.

E. Maréchal, Clogging of jet-engine fuel systems by dense suspensions of ice particles, 2016.

B. D. Marsh, On the crystallinity, probability of occurrence, and rheology of lava and magma, Contributions to Mineralogy and Petrology, vol.3, issue.1, pp.85-98, 1981.
DOI : 10.1007/BF00371146

D. Martin and R. Nokes, Crystal settling in a vigorously converting magma chamber, Nature, vol.332, issue.6164, pp.534-536, 1988.
DOI : 10.1038/332534a0

D. Martin and R. Nokes, A Fluid-Dynamical Study of Crystal Settling in Convecting Magmas, Journal of Petrology, vol.30, issue.6, pp.1471-1500, 1989.
DOI : 10.1093/petrology/30.6.1471

S. E. Mena, L. Luu, P. Cuéllar, P. Philippe, and C. Sinclair, Parameters affecting the localized fluidization in a particle medium, AIChE Journal, vol.2, issue.1, pp.1529-1542, 2017.
DOI : 10.1016/S0032-5910(02)00061-X

C. Morize, E. Herbert, and A. Sauret, Resuspension threshold of a granular bed by localized heating, Physical Review E, vol.96, issue.3, p.32903
DOI : 10.1017/S0022112003006931

URL : https://hal.archives-ouvertes.fr/hal-01582565

M. Sumer, B. Hatipoglu, F. Fredsøe, J. Kaan-sumer, and S. , The sequence of sediment behaviour during wave-induced liquefaction, Sedimentology, vol.35, issue.10, pp.611-629, 2006.
DOI : 10.1142/4942

J. Ngoma, P. Philippe, S. Bonelli, J. Delenne, and F. Radjai, 2015 Interaction between two localized fluidization cavities in granular media: Experiments and numerical simulation

M. Nicolas, M. Belzons, and O. Pouliquen, Pore pressure relaxation during granular compaction, International Congress of Theoretical and Applied Mechanics, 2004.

P. Philippe and M. Badiane, Localized fluidization in a granular medium, Physical Review E, vol.104, issue.4, p.42206
DOI : 10.1119/1.1399041

P. Rigord, A. Guarino, . Vidal, &. Valérie, and J. Géminard, Localized instability of a granular layer submitted to an ascending liquid flow, Granular Matter, vol.7, issue.4, pp.191-197, 2005.
DOI : 10.1007/s10035-005-0214-1

URL : https://hal.archives-ouvertes.fr/ensl-00180268

H. A. Rumpf, Einfl??sse der Porosit??t und Korngr????enverteilung im Widerstandsgesetz der Porenstr??mung, Chemie Ingenieur Technik - CIT, vol.43, issue.6, pp.367-375
DOI : 10.1002/cite.330430610

J. E. Sable, B. F. Houghton, D. Carlo, &. Paola, and M. Coltelli, Changing conditions of magma ascent and fragmentation during the Etna 122??BC basaltic Plinian eruption: Evidence from clast microtextures, Journal of Volcanology and Geothermal Research, vol.158, issue.3-4, pp.333-354, 2006.
DOI : 10.1016/j.jvolgeores.2006.07.006

P. Saramito and A. Wachs, 2017 Progress in numerical simulation of yield stress fluid flows, Rheologica Acta, pp.1-20

A. Seguin, Y. Bertho, P. Gondret, and J. Crassous, Sphere penetration by impact in a granular medium: A collisional process, EPL (Europhysics Letters), vol.88, issue.4, p.44002, 2009.
DOI : 10.1209/0295-5075/88/44002

URL : https://hal.archives-ouvertes.fr/hal-00603927

Y. Shibano, S. Ikuro, and . Namiki, Atsuko 2013 A laboratory model for melting erosion of a magma chamber roof and the generation of a rhythmic layering, Journal of Geophysical Research: Solid Earth, vol.118, p.41014116

V. S. Solomatov, P. Olson, and D. J. Stevenson, Entrainment from a bed of particles by thermal convection, Earth and Planetary Science Letters, vol.120, issue.3-4, pp.387-393, 1993.
DOI : 10.1016/0012-821X(93)90252-5

A. Stroh, F. Alobaid, M. T. Hasenzahl, J. Hilz, J. Strohle et al., Comparison of three different CFD methods for dense fluidized beds and validation by a cold flow experiment, Particuology, vol.29, pp.34-47, 2016.
DOI : 10.1016/j.partic.2015.09.010

A. Testu, S. Didierjean, D. Maillet, C. Moyne, T. Metzger et al., Thermal dispersion for water or air flow through a bed of glass beads, International Journal of Heat and Mass Transfer, vol.50, issue.7-8, pp.1469-1484, 2007.
DOI : 10.1016/j.ijheatmasstransfer.2006.09.002

G. Varas, . Vidal, &. Valérie, and J. Géminard, Dynamics of crater formations in immersed granular materials, Physical Review E, vol.79, issue.2, 2009.
DOI : 10.1103/PhysRevE.69.011304

J. Verhoeven and J. Schmalzl, A numerical method for investigating crystal settling in convecting magma chambers, Geochemistry, Geophysics, Geosystems, vol.20, issue.2, 2009.
DOI : 10.1063/1.2903623

A. W. Woods, Observations and models of volcanic eruption columns, Geological Society, London, Special Publications, vol.145, issue.1, pp.91-114, 1998.
DOI : 10.1144/GSL.SP.1996.145.01.06

A. W. Woods and K. Wohletz, Dimensions and dynamics of co-ignimbrite eruption columns, Nature, vol.350, issue.6315, pp.225-227, 1991.
DOI : 10.1038/350225a0

H. Zhang, G. Chen, and S. Han, at 298.15 K, Journal of Chemical & Engineering Data, vol.42, issue.3, pp.526-530, 1997.
DOI : 10.1021/je9602733

URL : https://hal.archives-ouvertes.fr/hal-00479046

R. Zhao, Q. Zhang, H. Tjugito, and X. Cheng, Granular impact cratering by liquid drops: Understanding raindrop imprints through an analogy to asteroid strikes, Proceedings of the National Academy of Sciences, vol.81, issue.2, pp.342-347
DOI : 10.1103/PhysRev.17.273

F. Zoueshtiagh and A. Merlen, Effect of a vertically flowing water jet underneath a granular bed, Physical Review E, vol.274, issue.1, p.56313, 2007.
DOI : 10.1017/S0022112096004351

URL : https://hal.archives-ouvertes.fr/hal-00203685