It is important to note that the experimental observations were conducted over a duration of 130 hours. Due to the large volume of the reservoir and limited mass flux in the capillary the composition of both reservoirs can be approximated to be constant for the entire duration of the experiment. The sub-micrometer porous structure of the silica-gel in the capillary was not explicitly taken into account as it was not determined experimentally. In the computational representation, the silica-gel was treated as a homogenous isotropic porous medium, smoothing out any microscopic heterogeneities.