Current research topics
Dynamics of partially molten materialsPartial melting and melt segregation is an important geological process that leads to chemical differentiation of terrestrial planets. The main characteristics of partially molten materials are: texturally equilibrated porespaces; viscous compaction/dilation of the solid matrix; reactive transport controlled by phase equilibria. These lead to a range of physical and chemical phenomena that require special mathematical and numerical treatment and we are developing appropriate numerical models. We are interested in applying these models to the evolution of the continental lithosphere and to understand the role of heterogeneities in partial melting. Papers: Ghanbarzadeh et al. (2014, 2015a, 2015b) 

Reactive transport in porous mediaReactive transport has been recognized as fundamental mechanism for pattern formation in the geological sciences. It determines the chemical evolution of pore fluids as well as the mineralogy and petrophysical properties of the rocks. A dominant feature reaction fronts is the evolution of a sequence of different types of chemical waves that travel with distinct velocities and separate regions of different composition. The theory of systems hyperbolic partial differential equations provides a unifying concept that allows the analysis of the basic structure of these patterns in multicomponent and multiphase systems, including surface and classical reactions as well as multiphase flows with partitioning. Of particular interest are currently systems with pHdependent sorption and noble gas partitioning in twophase flows. Papers: Prigiobbe et al (2012a, 2012b, 2013), 

Geomechanical inverse problemsSatellite geodesy and continuous GPS networks are providing unprecedented information about deformation of the Earth’s surface. These data have the potential to revolutionize our understanding of the coupling between subsurface flow and deformation. This, however, requires the integration of diverse geodetic and hydraulic datasets into geomechanical models and we have recently developed a variational approach for joint poroelastic inversion. This topic is a new research area in my group aimed at increasing our understanding of the interactions between faulting/earthquakes and fluid flow in the subsurface. Papers: Hesse & Stadler (2014) 

Dynamics of natural CO_{2} reservoirsCarbon capture and geological storage is the only technology that allows immediate and significant reductions in CO_{2} emissions from fossil fuels. The longterm storage security depends on the trapping of the CO_{2} in the subsurface, mostly through dissolution into the brine. Dissolved CO_{2} is considered to be trapped because it increases the density of the brine and forms a stable stratification. Understanding the magnitude, rate and mechanism of CO_{2} dissolution into the brine is therefore essential to the longterm fate of geological CO_{2} storage. The dissolution rate, however, is too slow to be observed during pilot projects, but studies of natural natural CO_{2} reservoirs can provide unique insights. Placing constraints on CO_{2} dissolution in natural analogues requires the integration of geochemistry, geophysics and reservoir engineering and an understanding of the ambient hydrogeological system. Paper: Sathaye et al. (2014, 2016a, 2016b), 