Scale Dependent Fluid Momentum and Solute Mass Macroscopic Balance Equations: Theory and Observations

Shaul Sorek, Daniel Ronen & Shaul Sorek
A mathematical development is presented concerning extensions to the macroscopic momentum balance equation for compressible Newtonian fluids flowing through saturated porous matrices, and the macroscopic mass balance equation of solutes transported with the fluids. It is shown that each of these balance equations is composed of a dominant macroscopic equation associated with a larger spatial scale, coupled with a secondary macroscopic balance equation valid at a smaller spatial scale. The dominant fluid momentum balance equation...
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