The research interests of my research group FoaLab are centred around the dynamics of fluid–solid systems with chemical, mechanical and thermodynamic interactions between phases. In particular: applications to geophysical systems; pattern formation in two-phase systems; fluid focusing and localization; shear and reactive instability in partially molten materials; plate boundary volcanism; reactive flow of magma and hydrous fluids through the mantle; geochemical predictions and comparison with geochemical observations; ice-sheets and sub-glacial hydrology; the integration of large-scale computation, analytical theory, and laboratory fluid dynamics experiments.
My teaching includes: Intro to Physical Thermodynamics (1st year), Problem solving in Earth Sciences with Matlab (2nd year), Geodynamics & Continental Deformation (3rd year), and Seminar in Mantle Dynamics, Seismology and Rheology (4th year).
My ORCiD: 0000-0001-8746-5430
View Selected Publications
Takei Y. and R.F. Katz, 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.
Qi C., D. Kohlstedt, R.F. Katz, and Y. Takei. (2015) An experimental test of the viscous anisotropy hypothesis for partially molten rocks. Proc. Nat. Acad. Sci. doi: 10.1073/pnas.1513790112.
Weatherley S. and R.F. Katz. (2015) Melt transport rates in heterogeneous mantle beneath mid-ocean ridges. Geochimica Cosmochimica Acta. doi: 10.1016/j.gca.2015.09.029.
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.
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.
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.
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.
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.
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.
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.
Allwright J. and R.F. Katz (2014) Pipe Poiseuille flow of viscously anisotropic, partially molten rock. Geophysical Journal International. doi: 10.1093/gji/ggu345.
Kyrke-Smith T. and A.C. Fowler (2014) Subglacial swamps. Proceedings of the Royal Society A. doi: 10.1098/rspa.2014.0340.
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.
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.
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.
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.
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.
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 Glaciology. doi: 10.3189/2013JoG12J140.
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.
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.
Katz, R.F. and J.F. Rudge (2011) The energetics of melting fertile heterogeneities within the depleted mantle. Geochem. Geophys. Geosys. doi: 10.1029/2011GC003834.
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.
England, P.C. and R.F. Katz, (2010) Brief Communication Arising: Global systematics of arc volcano position. Nature, doi: 10.1038/nature09154.
Katz, R.F. (2010) Porosity-driven convection and asymmetry beneath mid-ocean ridges. Geochem. Geophys. Geosys., doi: 10.1029/2010GC003282.
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.
Katz, R.F. and M.G. Worster. (2010) Stability of ice-sheet grounding lines. Proc. Roy. Soc. A, doi: 10.1098/rspa.2009.0434.