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Assess how Darcy friction factor is varying along the hole the flow path of water producing/injecting wells

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The along-hole variation of Darcy friction factor 

LaTeX Math Inline
bodyf
 is due to the influence of pressure 
LaTeX Math Inline
bodyp(l)
 and temperature 
LaTeX Math Inline
bodyT(l)
 variations on the fluid viscosity 
LaTeX Math Inline
body\mu(T, p)
 .

Both In vertical and slanted wells both temperature and pressure are growing with depth. 

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For the horizontal sections of wells and surface pipelines the value of friction-based pressure loss dominates over vanishing gravity-based pressure build up which zooms the value of accurate calculation of Darcy friction factor with account of its variation along the flow. In the meantime, for strongly inclined/horizontalised pipelines the pressure/temperature variation along the pipe is very minor, so is the water viscosity, and Darcy friction factor agains has very little variation along the flow.


See also

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Physics / Fluid Dynamics / Pipe Flow Dynamics / Darcy–Weisbach equation / Darcy friction factor 

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