Reservoir Engineering
1. Whether Stokes equation that characterizes low Reynolds number incompressible flow of a single-phase Newtonian fluid in a rigid porous medium governed @ pore-scale with no-slip boundary condition (in the absence of rarefaction effects and of any source or sink) can be extended to characterize multi-phase fluid flow through a petroleum reservoir @ macroscopic-scale, when it could be treated as statistically homogeneous at a scale which remains to be much larger than it’s REV?
2. What is the physical significance of intrinsic permeability tensor (which depends only on pore-geometry) and which accounts for the macroscopic drag on the solid-grains?
3. With the focus on pore-scale (or microscopic) displacement efficiency associated with an EOR technique, would it remain feasible to apply reservoir homogenization based on multiple scale expansions or volume averaging theory towards formally obtaining macroscopic momentum conservation equation (Darcy’ Law) towards characterizing multi-phase fluid flow through a petroleum reservoir?
4. With changes in wettability (when oil or water gets released from the solid into pore space) associated with an EOR application (wettability alteration), would it remain feasible to have a zero mass flux criteria @ solid-fluid interface @ pore-scale?
If not, how would upscaling yield a divergence-free average velocity?
5. When exactly could we expect a slip @ solid-fluid interface?
In the presence of interfacial slip (with definite shear changes), with permeability depending on Knudsen number, then, how could permeability tensor would remain to be intrinsic?
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