The dataset contains 15 plots and data for time-dependent pressures and temperatures at various locations along a 2582-m-long well and at various simulation times. The realistic scenarios taken into considerations are applied to the Goldeneye depleted reservoir in the North Sea. Pure CO2 is injected into the well and then discharged in the Goldeneye reservoir. Six different scenarios are considered: three different injection durations (linear ramp-up of the inlet mass flow rate from 0 to 33.5 kg/s over 5 minutes, 30 minutes, and 2 hours) and two different upstream temperatures (278.15 K and 283.15 K). Data is currently restricted until publication.