Nonequilibrium capillarity effects in two‐phase flow through porous media at different scales

A series of primary drainage experiments was carried out in order to investigate nonequilibrium capillarity effects in two‐phase flow through porous media. Experiments were performed with tetrachloroethylene (PCE) and water as immiscible fluids in a sand column 21 cm long. Four drainage experiments were performed by applying large pressures on the nonwetting phase at the inlet boundary: 20, 30, 35, 38 kPa. Our results showed that the nonequilibrium local fluids pressure difference‐saturation curves are above the capillary pressure saturation curve. Moreover, the nonequilibrium pressure difference showed a nonmonotonic behavior with an overshoot that was more pronounced at higher injection pressures. The dynamic capillarity coefficient was calculated from measured local pressures and saturations (the scale of sensor devices, 0.7 cm). Its value was found to vary between 1.3 × 10 5 to 2 × 10 5 Pa s. Within the saturation range of 0.50 > S w > 0.85, no clear dependency of the dynamic coefficient on the wetting saturation was observed. Also, no dependency of the dynamic capillarity coefficient on the applied boundary pressure was found. Averaged values of at the length scales of 11 and 18 cm were also estimated from averaged pressures and saturations. The upscaled dynamic coefficient was found to vary between 0.5 × 10 6 and 1.2 × 10 6 Pa s at the average window size of 11 cm. This is one order of magnitude larger than the local‐scale coefficient. Larger values were found for the length scale of 18 cm: 1.5 × 10 6 and 2.5 × 10 6 Pa s. This suggests that the value of dynamic coefficient increases with the scale of observation.