Waxy Crude Oils: Darcy’s Law for Thixotropic Fluids?
Case (A): For ordinary crude oils with Newtonian behavior:
With porosity and permeability defined as macroscopic parameters, the volumetric fluid flow rate can be related to the pressure gradient through Darcy’s law.
Case (B): Waxy crude oils with non-Newtonian behavior @ Low Temperature: Is it just sufficient to replace the Newtonian viscosity associated with case (A) by an appropriate non-Newtonian effective viscosity; and, whether, Case (B) can be solved – in line with Case (A)?
If so, how exactly to account for the time-dependency also in addition to the shear-dependent behavior on the yield-stress and viscosity of waxy crude oils?
So, essentially, can we go ahead with such simplified approximation in order to characterize waxy crude oils with a distinct thixotropic behavior (along with the conventional viscoplastic behavior)?
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