During Extrusion Through Fractures, The Water Leakoff Rate From Immobile (dehydrated) Gel Is Negligible Compared To That From The Mobile (wormhole) Gel

Fig. 1

Ac = Fraction of fracture area covered by concentrated (dehydrated) immobile gel.
Am = Fraction of fracture area covered by mobile (wormhole) gel.
uc = Local water leakoff rate from the immobile gel.
um = Local water leakoff rate from the mobile gel.