Laboratory for Geophysical Flows Laboratory for Geodynamics

In review/revision/press:   

Li, Y., T. Davis, A.E. Pusok & R.F. Katz. Models of buoyancy-driven dykes using continuum plasticity and fracture mechanics: a comparison.

Pusok, A., Y. Li, T. Davis, D. May & R.F. Katz. Inefficient melt transport across a weakened lithosphere led to reduced magmatism in the Turkana Depression.

Turner, S.J., I. Savov, T. Mather, R.F. Katz, D. Rees Jones, D. Pyle, C-J de Hoog, S Watt. Volcanic arc structure controlled by liquid focusing from the slab — evidence from boron isotopes and trace elements. EarthArXiv: 10.31223/X5MM7V

Zhang, H., R.F. Katz & L.A. Stevens. Viscoelastic mechanics of tidally induced lake drainage in the Amery grounding zone. arXiv: 2311.01249

Published:

Katz, R.F., J.F. Rudge & L.N. Hansen. (2024) Dilatancy and non-local fluidity of partially molten rock. J. Fluid Mech10.1017/jfm.2023.1003.

Hay, H.C.F.C., I. Hewitt & R.F. Katz. Tidal forcing in icy-satellite oceans drives mean circulation and ice-shell torques. JGR Planets. 10.1029/2024JE008408.

Kearney, L.M., R.F. Katz, C.W. MacMinn, C Kirkham & J. Cartwright. (2024) Episodic fluid venting from sedimentary basins fuelled by pressurised mudstones.  PNAS10.1073/pnas.2312152121.

Kearney, L.M., C.W. MacMinn, R.F. Katz, C Kirkham & J. Cartwright. (2023) Episodic, compression-driven fluid venting in layered sedimentary basins. Proc. Roy. Soc. A. 10.1098/rspa.2022.0654.  

Li, Y., Pusok, A., Davis, T., May, D.A., & Katz, R.F.  (2023) Continuum approximation of dyking with a theory for poro-viscoelastic–viscoplastic deformation. Geophys. J. Int. 10.1093/gji/ggad173.

Breithaupt, T., R.F. Katz, L. Hansen and K. Kumamoto (2023). Dislocation theory of steady and transient creep of crystalline solids: predictions for olivine. PNAS10.1073/pnas.2203448120

Davis T., E. Rivalta, D. Smittarello & R.F. Katz (2023). Ascent rates of 3D fractures driven by a finite batch of buoyant fluid. Journal of Fluid Mechanics 10.1017/jfm.2022.986.

Hooker J.N., R.F. Katz, S.E. Laubach, J. Cartwright, P. Eichhubl, E. Ukar, D. Bloomfield, T. Engelder (2023). Fracture-pattern growth in the deep, chemically reactive subsurface. J Structural Geol. 10.1016/j.jsg.2023.104915.

get PDF of articleKatz, R.F., D. Rees Jones, J.F. Rudge and T. Keller. (2022) Physics of melt extraction from the mantle: speed and style.  Ann. Rev. Earth Planet. Sci., 10.1146/annurev-earth-032320-083704.

Katz, R.F., (2022) The Dynamics of Partially Molten Rock.  Princeton University Press.  Website. Online supplement.

Zhang, H., T. Davis, R.F. Katz, L.A. Stevens and D.A. May. (2022) Basal hydrofractures near sticky patches. J. Glaciology. doi: 10.1017/jog.2022.75. ArXiv.

Pusok, A., R.F. Katz, Y. Li and D. May. (2022) Chemical heterogeneity, convection and asymmetry beneath mid-ocean ridgesGeophys. J. Int. doi: 10.1093/gji/ggac309

Huybers, P., P. Liautaud, C. Proistosescu, B. Boulahanis, S. Carbotte, R.F. Katz and C. Langmuir. (2022) Influence of late Pleistocene sea-level variations on mid-ocean ridge spacing in faulting simulations and a global analysis of bathymetry. PNAS. doi: 10.1073/pnas.2204761119

Rovira-Navarro, M., R.F. Katz, Y. Liao, W. van der Wal, F. Nimmo. (2022) The tides of Enceladus' porous core. JGR Planets. doi: 10.1029/2021JE007117.

get PDF of article Rees Jones, D.W., H. Zhang and R.F. Katz. (2021) Magmatic channelisation by reactive and shear-driven instabilities at mid-ocean ridges: a combined analysis. Geophys. J. Int., 10.1093/gji/ggab112.

get PDF of article Breithaupt, T., L. Hansen, S. Toppaladoddi and R.F. Katz. (2021) The role of grain-environment heterogeneity in normal grain growth: a stochastic approach. Acta Materialia. doi: 10.1016/j.actamat.2021.116699

get PDF of article Spencer, D.C., R.F. Katz and I.J. Hewitt. (2021) Tidal controls on the lithospheric thickness and topography of Io from magmatic segregation and volcanism modelling.  Icarus. doi10.1016/j.icarus.2021.114352

get PDF of article Spencer D., R.F. Katz, , I.J. Hewitt, D.A. May, L. Keszthelyi. (2020). Compositional layering in Io driven by magmatic segregation and volcanism. JGR Planets. doi: 10.1029/2020JE006604.

get PDF of article Spencer, D., R.F. Katz and I.J. Hewitt. (2020) Magmatic intrusions control Io's crustal thickness. JGR Planets. doi: 10.1029/2020JE006443.

get PDF of article Haseloff, M., I.J. Hewitt and R.F. Katz. (2019). Englacial pore-water localises shear in temperate ice-stream margins. JGR Earth Surface. doi: 10.1029/2019JF005399.

get PDF of article Cerpa, N., D.W. Rees Jones and R.F. Katz. (2019) Consequences of glacial cycles for magmatism and carbon transport at mid-ocean ridges. EPSL. doi: 10.1016/j.epsl.2019.115845.

Tian, M., R.F. Katz, D. Rees Jones. (2019) Devolatilization of Subducting Slabs, Part I: Thermodynamic Parameterization and Open System EffectsG-cubed. doi: 10.1029/2019GC008488.

Tian, M., R.F. Katz, D. Rees Jones, D. May. (2019) Devolatilization of Subducting Slabs, Part II: Volatile Fluxes and Storage. G-cubed. doi: 10.1029/2019GC008489.

Parkinson, J., D. Martin, A. Wells and R.F. Katz. (2019). Modelling binary alloy solidification with Adaptive Mesh Refinement. J. Comp. Phys. doi: 10.1016/j.jcpx.2019.100043.

get PDF of article Lichtenberg, T., T. Keller, R.F. Katz, G. Golabek and T. Gerya (2019). Magma ascent in planetesimals: control by grain size. EPSL. doi: 10.1016/j.epsl.2018.11.034.

get PDF of article Bo, T., R.F. Katz, O. Shorttle and J.F. Rudge (2018). The melting column as a filter of mantle trace-element heterogeneity. G-Cubeddoi: 10.1029/2018GC007880.

get PDF of article Rees Jones, D.W. and R.F. Katz (2018). Reaction-infiltration instability in a compacting porous medium. J. Fluid Mech. doi: 10.1017/jfm.2018.524.

Rees Jones, D. and A. Wells (2018). Frazil-ice growth rate and dynamics in mixed layers and sub-ice-shelf plumes. doi: 10.5194/tc-12-25-2018

get PDF of article Rees Jones, D., R.F. Katz, J.F. Rudge and M. Tian (2018). Thermal impact of magmatism in subduction zonesEPSL. doi: 10.1016/j.epsl.2017.10.015

get PDF of article Turner, A.J., R.F. Katz, M.D. Behn and T. Keller (2017). Magmatic focusing to mid-ocean ridges: the role of grain size variability and non-Newtonian viscosity. G-cubed. doi: 10.1002/2017GC007048.

get PDF of article Keller T., R.F. Katz and M.M. Hirschmann (2017). Volatiles beneath mid-ocean ridges: Deep melting, channelised transport, focusing, and metasomatism.  EPSL.  doi: 10.1016/j.epsl.2017.02.006.

get PDF of article Turner S., C. Langmuir, R.F. Katz, M.A. Dungan and S. Escrig, (2016) Parental arc magma compositions dominantly controlled by mantle-wedge thermal structure. Nature Geoscience. doi: 10.1038/ngeo2788.

get PDF of article Keller T. and R.F. Katz, (2016) The Role of Volatiles in Reactive Melt Transport in the Asthenosphere. J. Petrology. doi: 10.1093/petrology/egw030.

get PDF of article Huybers, P., C. Langmuir, R.F. Katz, D. Ferguson, C. Proistosescu and S. Carbotte. (2016) Comment on "Sensitivity of seafloor bathymetry to climate-driven fluctuations in mid-ocean ridge magma supply". Technical comment, Science. doi: 10.1126/science.aae0451 (Olive et al. reply)

get PDF of article Alisic L., S. Rhebergen, J.F. Rudge, R.F. Katz, and G.N. Wells. (2016) Torsion of a cylinder of partially molten rock with a spherical inclusion: theory and simulation. Geochem. Geophys. Geosys.,  doi: 10.1002/2015GC006061.

get PDF of article Weatherley S. and R.F. Katz. (2016) Melt transport rates in heterogeneous mantle beneath mid-ocean ridges. Geochimica Cosmochimica Acta. doi: 10.1016/j.gca.2015.09.029.

get PDF of article Takei Y. and R.F. Katz. (2015) Consequences of viscous anisotropy in a deforming, two-phase aggregate. Why is porosity-band angle lowered by viscous anisotropy? J Fluid Mech. doi: 10.1017/jfm.2015.592.

get PDF of article Qi C., D. Kohlstedt, R.F. Katz, and Y. Takei. (2015) Experimental test of the viscous anisotropy hypothesis for partially molten rocks. Proc. Nat. Acad. Sci.  doi: 10.1073/pnas.1513790112.

get PDF of article Crowley J.W., R.F. Katz, P. Huybers, C.H. Langmuir, and S-H. Park. (2015) Glacial cycles drive variations in the production of oceanic crust.  Science. doi: 10.1126/science.1261508. (comment/reply)

get PDF of article Taylor-West J. and R.F. Katz (2015). Melt-preferred orientation, anisotropic permeability, and melt-band formation in a deforming, partially molten aggregate. Geophys. J. Int. doi: 10.1093/gji/ggv372.

get PDF of article Kyrke-Smith T., R.F. Katz and A. Fowler. (2015) Subglacial hydrology as a control on emergence, scale, and spacing of ice streams. JGR Earth Surface. doi: 10.1002/2015JF003505.

get PDF of article Rhebergen S., G.N. Wells, A.J. Wathen, and R.F. Katz. (2015) Three-Field Block Preconditioners for Models of Coupled Magma/Mantle Dynamics. SIAM J. Sci. Comp.  doi: 10.1137/14099718X 

get PDF of article Hooker J.N. and R.F. Katz. (2015) Vein spacing in extending, layered rock: the effect of synkinematic cementation. American Journal of Science. doi: 10.2475/06.2015.03.

get PDF of article Burley J. and R.F. Katz. (2015) Variations in mid-ocean ridge CO2 emissions driven by glacial cycles. EPSL. doi: 10.1016/j.epsl.2015.06.031.

get PDF of article Turner A., R.F. Katz and M.D. Behn. (2015) Grain-size dynamics beneath mid-ocean ridges: Implications for permeability and melt extraction. Geochem. Geophys. Geosys. doi: 10.1002/2014GC005692.

get PDF of article Lacey A.A., M.G. Hennessy, P. Harvey and R.F. Katz (2015) Mathematical Modelling of Tyndall Star Initiation. European Journal of Applied Mathematics. doi: 10.1017/S095679251500042X.

get PDF of article Allwright J. and R.F. Katz (2014) Pipe Poiseuille flow of viscously anisotropic, partially molten rock. Geophysical Journal International. doi: 10.1093/gji/ggu345.

get PDF of article Kyrke-Smith T. and A.C. Fowler (2014) Subglacial swamps. Proceedings of the Royal Society A. doi: 10.1098/rspa.2014.0340.

get PDF of article Rhebergen S., G. Wells, R.F. Katz, and A. Wathen (2014) Analysis of block preconditioners for models of coupled magma/mantle dynamics.  SIAM Journal on Scientific Computing. doi: 10.1137/130946678.  

get PDF of article Alisic L., J.F. Rudge, R.F. Katz, G. Wells and S. Rhebergen (2014) Compaction around a rigid, circular inclusion in partially molten rock. Journal of Geophysical Research---Solid Earth. doi: 10.1002/2013JB010906.

get PDF of article Kyrke-Smith T., R.F. Katz, and A.C. Fowler (2014)  Subglacial hydrology and the formation of ice streams. Proceedings of the Royal Society A. doi: 10.1098/rspa.2013.0494.

get PDF of article Takei Y. and R.F. Katz (2013)  Consequences of viscous anisotropy in a deforming, two-phase aggregate: 1. Governing equations and linearised analysis.  Journal of Fluid Mechanics. doi: 10.1017/jfm.2013.482.

get PDF of article Katz R.F. and Y. Takei (2013) Consequences of viscous anisotropy in a deforming, two-phase aggregate: 2. Numerical solutions of the full equations.  Journal of Fluid Mechanics. doi: 10.1017/jfm.2013.483.

get PDF of article Kyrke-Smith, T.M. and R.F. Katz and A.C. Fowler (2013) Stress balances of ice streams in a vertically integrated, higher-order formulation J Glaciologydoi: 10.3189/2013JoG12J140.

get PDF of article Katz, R.F. and S.M. Weatherley (2012) Consequences of mantle heterogeneity for melt extraction at mid-ocean ridges.  EPSL. doi: 10.1016/j.epsl.2012.04.042. 

get PDF of article Weatherley, S.M. and R.F. Katz (2012) Melting and channelized magmatic flow in chemically heterogeneous, upwelling mantle. Geochem. Geophys. Geosys. doi: 10.1029/2011GC003989.

get PDF of article Katz, R.F. and J.F. Rudge (2011) The energetics of melting fertile heterogeneities within the depleted mantleGeochem. Geophys. Geosys. doi: 10.1029/2011GC003834.

get PDF of article England, P.C. and R.F. Katz, (2010) Dry melting and thermal advection in the mantle wedge control the location of volcanic arcs. Nature, doi: 10.1038/nature09417

get PDF of article England, P.C. and R.F. Katz, (2010) Brief Communication Arising: Global systematics of arc volcano position. Nature, doi: 10.1038/nature09154.

get PDF of article Katz, R.F. (2010) Porosity-driven convection and asymmetry beneath mid-ocean ridges. Geochem. Geophys. Geosys., doi: 10.1029/2010GC003282.

get PDF of article Weatherley, S. and R.F. Katz, (2010) Plate-driven dynamics and global patterns of mid-ocean ridge bathymetry. Geochem. Geophys. Geosys., doi: 10.1029/2010GC003192.

get PDF of article Katz, R.F. and M.G. Worster. (2010) Stability of ice-sheet grounding lines. Proc. Roy. Soc. A, doi: 10.1098/rspa.2009.0434.

Pre-FoaLab publications by Katz (BibTeX):

get PDF of article Katz, R.F. (2008) Magma dynamics with the Enthalpy Method: benchmark solutions and magmatic focusing at mid-ocean ridges. J. Petrology, doi: 10.1093/petrology/egn058.

get PDF of article Katz, R.F. and M.G. Worster. (2008) Simulation of directional solidification, thermochemical convection and chimney formation in a Hele-Shaw cell. J. Comp. Phys., doi: 10.1016/j.jcp.2008.06.039.

van Keken, P., C. Currie, S.D. King, M.D. Behn, A. Cagnioncle, J. He, R.F. Katz, S. Lin, E.M. Parmentier, M. Spiegelman, K. Wang. (2008) A community benchmark for subduction zone modelling. Phys. of the Earth and Planetary Interiors, doi: 10.1016/j.pepi.2008.04.015.

get PDF of article Katz, R.F., M. Knepley, B. Smith, M. Spiegelman, E. Coon. (2007) Numerical simulation of geodynamic processes with the Portable Extensible Toolkit for Scientific Computation, Phys. of the Earth and Planetary Interiors, doi: 10.1016/j.pepi.2007.04.016.

get PDF of article Katz, R.F., M. Spiegelman, and B. Holtzman. (2006) The dynamics of melt and shear localisation in partially molten aggregates. Nature, doi: 10.1038/nature05039.

get PDF of article Knepley, M.G., R.F. Katz, and B.F. Smith. (2006) Developing a geodynamics simulator with PETSc. In Numerical Solution of Partial Differential Equations on Parallel Computers, Series: Lecture Notes in Computational Science and Engineering, Vol. 51, A.M. Bruaset and A. Tveito, editors. Springer-Verlag.

get PDF of article Spiegelman, M. and R.F. Katz. (2006) A semi-Lagrangian Crank-Nicolson algorithm for the numerical solution of advection-diffusion problems, Geochem. Geophys. Geosys., doi: 10.1029/2005GC001073.

get PDF of article Katz, R.F., R. Ragnarsson, and E. Bodenschatz. (2005) Tectonic microplates in a wax model of sea-floor spreading, New J. Phys., doi: 10.1088/1367-2630/7/1/037

get PDF of article Katz, R.F. and E. Bodenschatz. (2005) Taking wax for a spin: microplates in an analog model of plate tectonics, Europhysics News, Vol. 5, September/October. [unreferreed]

get PDF of article Katz, R.F., M. Spiegelman and S. Carbotte. (2004) Ridge migration, asthenospheric flow and the origin of magmatic segmentation in the global mid-ocean ridge system. Geophys. Res. Lttrs., doi: 10.1029/2004GL020388.

get PDF of article Katz, R.F., M. Spiegelman and C.H. Langmuir.(2003) A new parameterisation of hydrous mantle melting. Geochem. Geophys. Geosys., doi: 10.1029/2002GC000433. [Source code] [Errata]

Theses and project reports:

get PDF of article Spencer, D. (2021) Magmatism and volcanism on Io. DPhil thesis.

get PDF of article Ntwali N'konzi, J-P. (2021) Plastic strain localisation. Mfano Africa Oxford research project report.

get PDF of article Burley, J. (2017) Magmatism and Glacial Cycles: Coupled Oscillations?  DPhil thesis. 

get PDF of article Kyrke-Smith, T. (2014) Ice-stream dynamics: the coupled flow of ice sheets and subglacial hydrology.  DPhil thesis. 

get PDF of article Weatherley, S. (2013) Melting and melt migration in heterogeneous mantle beneath mid-ocean ridges.  DPhil thesis. 

get PDF of article Taylor-West, J. (2014) Effect of anisotropic permeability on band growth.  NERC Research Experience Placement.

get PDF of article Dauck, T.-F. (2014) Flow over sinusoidal, porous sandbed.   NERC Research Experience Placement.

get PDF of article Hack, S. (2014) Finite element models for coupled magma/mantle dynamics with anisotropic viscosity.  Leverhulme Summer research project.

get PDF of article Allwright, J. (2013) Effects of viscous anisotropy on pipe Poisseuille flow. NERC Research Experience Placement.

get PDF of article Evans, O. (2013) Generalised stability theory in magma/mantle dynamics.  Leverhulme Summer research project.

get PDF of article Harvey, P. (2013) An experimental analysis of Tyndall Figures.  NERC Research Experience Placement. 

get PDF of article Weatherley, S. (2009) Influence of mantle dynamics on global patterns of mid-ocean ridge bathymetry. MSci project.