Supplemental Material In the secondary infiltration (no sessile liquid

Supplemental Material
In the secondary infiltration (no sessile liquid left on the porous medium surface), the wetted
imprint volume increases and the saturation decreases. The solution is physical and formulated
from the force balance at the interface. The results in the manuscript are obtained from postprocessing the results like ones depicted in the next three frames.
The pore saturation in the wetted imprint and how it changes in time are shown. The side and
bottom views give the saturation contour plots for x=0 (side) and z=0 (bottom) planes. The
saturation s=1 is given with red color. The liquid ganglia (red color regions) decrease in size and
increase in number.
(a) primary infiltration, ts=0
(b) secondary infiltration, ts=80h
Figure 5. Liquid phase distribution for primary, ts=0 and secondary infiltration after ts=80h in
porous medium. Pores at the interface with s<0.05 are represented in blue color, and pores with
s>0.95 are depicted in red color. The saturation contour plots are shown in side planes.
(a) ts=90s
(b) ts=20min
(c) ts=6h
Figure 6. Liquid distribution and pore saturation in the secondary infiltration (rb=20, σt=0.5) as a
function of time, where for longer infiltration time the liquid ganglia are formed. The saturation
is divided into twenty increments of 0.05, where the blue color represent s=0-0.05 and the
interval s=0.95-1 is given in red.