How does the Interfacial Tension (IFT) data deduced from a non-identifiable interface at the nano-scale such as oil-water interface (associated with a chemical flooding in a petroleum reservoir) be of any use, when the identifiable interface between solid-grains and pore-fluid itself is supposed to be ignored – in the context of using Diffusivity equation based on macroscopic Darcy’s law?
We are not even allowed to make use of NSE that is applicable at the microscopic-scale (leaving aside the complexities associated with the fluid-solid boundary) to describe flow through a porous medium.
In case, if the IFT data useful, then,
What do we mean by REV?
Whether the concept of “Continuum” be established, if we use any data at a scale that is lesser than the macroscopic-scale (i.e., REV)?
If continuum is not established, how can we make of the PDEs associated with Mass and Momentum Conservation equations?
How do we comfortably apply the concepts of “nano-Darcy” and “nano-particles” (along with surfactants - in chemical flooding), while making use of Darcian approach?
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