The datasets contain 40 time-resolved segmented X-ray micro-tomographic images showing mineral dissolution of carbonate rock samples containing dolomite and calcite via CO2 acidified brine fluid flow at reservoir conditions. The tomographic images were acquired at a voxel-resolution of 5.2 µm and time-resolution of 33 minutes. The data were collected with lab based microCT, with an aim of investigating the influences of rock mineral and physical heterogeneity on dissolution patterns and changes to dynamic rock properties at the pore-scale. Further details of the experimental methodology can be found in Al-Khulaifi et al. (2019). These time-resolved tomographic images can be used to validate pore-scale multimineral reactive transport models.