Multi-Phase Fluid Flow through a Petroleum Reservoir System

Want to incorporate the physical dependence of the pore-scale processes in to up-scaled equation?

Whether the driving forces (for oil/gas flow) @ pore-scale remain to be different from the driving forces @ continuum-scale?

If so, then, could we ensure that the energy introduced in a petroleum reservoir system (say, an oil-water system) at the larger continuum-scale with characteristic length L would remain to be dissipated at the pore-scale with characteristic length l?

(By the way, in a Pet Reservoir,

are we having only these two spatial scales?

Are we not having any other significant spatial scale that influences the resulting oil/gas flow?

How about the shear interaction between phases @ pore-scale?

Whether the interface always remain stationary?)

Would this condition remain to be sufficient in order to deduce the structure of the Capillary Pressure relation?

In such cases, would it remain feasible to deduce up-scaled equations for averaged variables at the continuum-scale that remain to be representative of the flow at the pore-scale (by means of homogenization through multiple-scale expansions)?