An analytical treatment of viscous crossflow in unordered layered systems is performed under the assumption of viscous dominated vertical equilibrium (VVE) and piston-like displacement. The method developed is essentially a generalization of earlier approaches (Hearn, 1971) to unordered systems. It is shown that the fluid interface is influenced by a non-monotonic fluid front profile, leading to formation of “extra zones” of oil or water between the layer fronts. The internal ordering of layers in a system may have a significant effect on fluid crossflow and interfaces, and thereby on the reservoir performance. The procedure of ordering layers before calculating reservoir performance or VVE pseudo fliinctions (Ream 1971, El-Khatib 1985) may therefore lead to significant errors.


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