Professor: mspieg@ldeo.columbia.edu

My early enthusiasm for earth sciences was fed by a steady diet of outdoor activities and PBS documentaries. When it became clear that I would not be the next Jacques Cousteau, however, I found that I could combine my tastes for backpacking and physics as a geology/geophysics major. As a Harvard undergraduate, I constructed physical models of mountain-building processes between stints as a U.S. Forest Service ranger, then moved to Cambridge, England, where I conducted my PhD research on magma migration in the mantle with Prof. Dan McKenzie.  I currently hold a joint appointment between the Departments of Earth and Environmental Sciences (DEES) and  Applied Physics/Applied Mathematics (DAPAM) at Columbia.  My group and I have been extending magma migration theory into a more general one that describes the interactions between solids and fluids in the earth. Magma migration provides an important link between large-scale mantle convection and petrology/geochemistry and my research seeks to close the gap between these two disciplines. This work also lends new insights into other fluid-flow problems such as reactive flow and carbon sequestration; current research includes understanding the fundamental mathematics of coupled fluid/solid problems, applications to magmatism and reactive flow at plate boundaries, and reactive flow in brittle media.    My work is primarily computational and my students, colleagues and I are implementing new techniques and technologies for multi-physics problems that  take advantage of advanced high-performance scientific computing libraries such as  PETSc at Argonne National Labs and the FEniCS project.  This work is in coordination with the magma dynamics component of CIG. With a quantitative basis for fluid-flow research, we hope to integrate this theory with Lamont's strong observational programs in petrology, geochemistry and mantle dynamics.

• Simpson, G., M. SPIEGELMAN, and M. I. WEINSTEIN [2009]. A multi-scale model of partial melts
  1: Effective equations. (submitted JGR).
• Simpson, G., M. SPIEGELMAN, and M. I. WEINSTEIN [2009]. A multi-scale model of partial melts
  2: Numerical results. (submitted JGR).
• Katz, R. F., M. Knepley, B. Smith, M. Spiegelman and E. Coon, (2007);  Numerical simulation of geodynamic processes with the Portable Extensible Toolkit for Scientific Computation  ,  Phys. of the Earth and Planetary Interiors  , 163, 52-68, doi:10.1016/j.pepi.2007.04.016.
• Katz, R. F., M. Spiegelman, and B. Holtzman, (2006);  The dynamics of melt and shear localization in partially molten aggregates  ,  Nature, 442 , 676--679 , doi:10.1038/nature05039.
  
• SPIEGELMAN, M. and R. KATZ  [2006]. A semi-lagrangian crank-nicolson algorithm for the numerical solution of advection-diffusion problems. Geochem. Geophys. Geosyst. 7, Q04014, doi:10.1029/2005GC001073. (reprint)
• 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. Lett., 31(15). Art. No. L15605.
  
• SPIEGELMAN, M. and P. B. KELEMEN [2003]. Extreme chemical variability as a consequence of channelized melt transport. Geochem. Geophys. Geosyst., 4(8). Article 1055.  reprint
• SPIEGELMAN, M. [2003]. Linear analysis of melt band formation by simple shear. Geochem. Geophys. Geosyst . (4 (9), 8615, doi:10.1029/2002GC000499) reprint
• SPIEGELMAN, M., P. B. KELEMEN, and E. AHARONOV [2001]. Causes and consequences of flow organization during melt transport: The reaction infiltration instability in compactible media. J. Geophys. Res., 106(B2):2061 2077. (movies) (color preprint) (black and white reprint)
  
• SPIEGELMAN, M. [2000]. UserCalc: a web-based U-series calculater for mantle melting problems. Geochem. Geophys. Geosyst., 1. Paper Number 1999GC000030. (reprint),(WebSite)
  
• SPIEGELMAN, M. and J. REYNOLDS [1999]. Combined theoretical and observational evidence for convergent melt flow beneath the EPR. Nature, 402:282 285. (reprint)
  
• SPIEGELMAN, M. [1996]. Geochemical consequences of melt transport in 2-D: The sensitivity of trace elements to mantle dynamics. Earth Planet. Sci. Lett., 139:115 132.  (reprint)
• SPIEGELMAN, M. [1993]. Flow in deformable porous media. part 1. Simple analysis. J. Fluid Mech., 247:17 38.  (postcript preprint,pdf)
  
• SPIEGELMAN, M. [1993]. Flow in deformable porous media. part 2. Numerical analysis The relationship between shock waves and solitary waves. J. Fluid Mech., 247:39 63. (pdf,postcript reprint...some figures missing)
  
• SPIEGELMAN, M. and T. ELLIOTT [1993]. Consequences of melt transport for U-series disequilibrium in young lavas. Earth Planet. Sci. Lett., 118:1 20. (reprint, errata)  (EPSL mangled the typesetting...here is a cleaner preprint)
• SPIEGELMAN, M. and P. KENYON [1992]. The requirements for chemical disequilibrium during magma migration. Earth Planet. Sci. Lett., 109:611 620. (reprint)
• SPIEGELMAN, M. and D. MCKENZIE [1987]. Simple 2-D models for melt extraction at mid-ocean ridges and island arcs. Earth Planet. Sci. Lett., 83:137 152. (reprint)
  

• Myths and Methods In Modeling: Notes for my old course on numerical methods for Earth sciences (G6943Y) (currently being revamped for a new course in Numerical methods for PDE's)
  
• UserCalc: A U-series calculator for melt migration problems
• Reactive Flow Movies
• An Introduction to Dynamical Systems: An old but amusing introduction to DS I did for Biosphere in 97
  

• Europe 2002
• Japan 2003 (careful, a big page needs lots of bandwidth)