In this study we investigated fluid displacement water with supercritical (sc) CO
2
in chalk under conditions close to those used for geologic CO
2
sequestration (GCS), to answer two main questions: How much volume is available for scCO
2
injection? And what is the main mechanism of displacement over a range of temperatures? Characterization of immiscible scCO
2
displacement, at the pore scale in the complex microstructure in chalk reservoirs, offers a pathway to better understand the macroscopic processes at the continuum scale. Fluid behavior was simulated by solving the Navier-Stokes equations, using finite-volume methods within a pore network. The pore network was extracted from a high resolution 3D image of chalk, obtained using X-ray nanotomography. Viscous fingering dominates scCO
2
infiltration and pores remain only partially saturated. The unstable front, developed with high capillary number, causes filling of pores aligned with the flow direction, reaching a maximum of 70% scCO
2
saturation. The saturation rate increases with temperature but the final saturation state is the same for all investigated temperatures. The higher the saturation rate, the higher the dynamic capillary pressure coefficient. A higher dynamic capillary pressure coefficient indicates that scCO
2
needs more time to reach capillary equilibrium in the porous medium.
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