“…Similarly, the competition between oil and air transport to equilibrate the pressure inside the crust and deep inside the product cannot be captured with homogenized models. Detailed experiments showed that cellular defects with coordination numbers strictly larger than two (e.g., "Y" or "X" shapes) cause, indeed, complex displacements of oil and air phases (Cortés et al, 2016;Patsioura et al, 2015). As an illustration, the oil front is accelerated along the corners of parenchyma cells (acute angles) and usually reaches restrictions between cells faster than air.…”