Multi-Phase Fluid Flow

1. If varieties of macro-flow characteristics can be formed in the process of two-phase displacement, resulting from the interface instability of displacement front, whether, would it remain feasible to capture the instability of displacement front @ laboratory-scale using experiments, which remains controlled by the competition between capillary forces @ pore-scale; and non-local viscous forces @ Darcy-scale, in the absence of gravitational forces?

OR

The influence of various flow conditions and physical properties (wettability, geometric topology and surface roughness) related to the reservoir rock formation, make this competition between capillary and viscous forces to remain to be more complicated to be captured?

If it remains to be complicated, then, can’t we directly quantify such competition between capillary and viscous forces using only Capillary Number and Viscosity Ratio?

Is it because capturing the characteristic velocity of the invading phase remains to be challenging @ laboratory-scale?

2. How exactly to ensure the following @ field-scale?

(a) Under the condition of unfavorable viscosity ratio, as the Capillary number increases, the viscous forces would gradually tend to dominate, while the displacement pattern gradually transitions from capillary fingering to viscous fingering; and

(b) Under the condition of favorable viscosity ratio, the displacement pattern changes from capillary fingering to stable displacement upon increasing the Capillary number; and

(c) Feasible to capture the transition zone between different displacement patterns (crossover zone) @ field-scale?

Does this transition (changing Capillary number and viscosity ratio to change the displacement pattern) consider the influence of wettability?

Or

Is it only applicable to the drainage process of non-wetting phase displacing wetting-phase?

If the influence of wettability on fluid displacement remains included, then, how will we be able to capture the series of pore-scale reconstruction events (i.e., contact, overlap and burst) and its associated displacement patterns at various Capillary numbers, @ laboratory-scale using experiments?

If yes, then, how precisely will we be able to capture the following?

(a) Feasible to capture the characteristic of capillary fingering @ laboratory-scale, when burst instability mechanism remains dominant (when the displaced phase wets the pore wall more; and the contact angle remaining greater than 90 degrees: drainage)?

(b) Feasible to capture, the way, the interface of the displacement gets stabilized and promoting the compact displacement of immiscible fluids, when the invading-phase wets the wall more (and the contact angle remaining lesser than 90 degrees: imbibition) with the frequency of contact and overlap mechanisms remaining higher?

(c) the way, the fluid displacement process getting gradually transitioned from dominant capillary forces to dominant viscous forces (the role of viscous forces getting gradually increased) with the increase in flow velocity?

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