Meaning
Fluid dynamics defines capillary number bounds as the dimensionless range of ratios between viscous forces and interfacial tension forces within a porous medium. This limit governs the transition between capillary dominated flow and viscous dominated flow during the displacement of one fluid by another. Discrepancies between the applied pressure gradient and the resistance offered by the interface determine whether the non-wetting phase occupies small pores or remains trapped in dead ends.
The threshold identifies the point where pressure forces overcome the pinning effect of the meniscus.
Viscous Resistance
Calculating the threshold requires an assessment of the interaction between wetting properties and flow velocity. When velocity increases beyond a specific value, capillary number bounds predict a decrease in residual saturation through the mobilization of trapped droplets. Low values indicate that surface tension holds the fluid in place against the driving force.
High values demonstrate that internal friction forces dictate the movement of the displacement front. Experimental data confirms that pore geometry dictates the stability of the meniscus position. Variations in pore throat size necessitate adjustments to the target range to maintain predictable recovery rates.
Operational Performance
Maintaining the flow rate within these calculated margins allows the production system to avoid bypassing small pore clusters. If the operator forces the system above these limits, the displacement becomes unstable and finger paths form through the medium. Stable displacement relies on keeping the velocity low enough to ensure the capillary forces act uniformly across the pore network.
Measuring the pressure drop across the sample determines if the current configuration respects the physical constraints of the material. A failure to stay within this window produces higher residual fluid levels than the equilibrium state demands.
Systemic Readiness
Evaluating the compatibility between fluid properties and media structure answers the question of whether a displacement process succeeds under current pump constraints. Audit procedures compare the actual flow velocity against the calculated bounds to ensure the project stays within the efficient drainage regime. Production yield reaches the theoretical maximum when the ratio remains constant throughout the transit of the front.
Deviation from these parameters signifies a risk that the displacement will terminate with substantial trapped mass. Precise adherence to these limits defines the upper limit of expected extraction efficiency for any saturated porous structure.