Darcy’s law and pore-scale hydrodynamics:
As against hydro-static equilibrium, during an oil production, when oil and water keeps moving (hydro-dynamic condition) through the pores in an under-saturated oil reservoir, whether the associated hydraulic forces (and in turn, its effect on the hydraulic head) won’t get influenced by the pore-scale processes such as pore-size and tortuosity ‘also’ – resulting from the (possible) marginal ‘mixing of oil with water’ and a significant ‘mixing of gas with water’?
If so, whether the concept of ‘hydraulic head’ associated with Darcy’s law deserves a special attention – when applying for an under-saturated oil reservoir, where a simple ‘average reservoir pressure’ replaces the Darcy's original ‘hydraulic-head’ concept at the macroscopic-scale?
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