How do we comfortably ignore
the 2nd term on LHS (the quadratic hyperbolic term)
associated with fluid flow equation,
deduced upon coupling mass and momentum conservation equations,
towards characterizing
fluid flow through an Oil Reservoir?
Is it because Pressure pulses obey
only a Diffusion Equation; and
NOT a Wave Equation?
Dr Suresh Kumar Govindarajan
Professor [HAG]
IIT Madras
20-March-2025
Jack Broughton
The pore diameter is proportional to the particle diameter, so unless a very large diameter shale is involved, the flow will be laminar and only the laminar flow part of the general equation is needed (traditional D'Arcy's Law form). This may not apply when the gas loading is high.
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