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The absolute value is staying between
for the very small flow rates (< 100
cmd) and
for the very high flow rates (> 1,000
cmd) and this should be taken into account in calculations.
For complex well designs with varying pipe flow diameters and water source/stocks which may lead to substantial variation of flowrate the wellbore model can be split in segments each having a
constant friction factor.
Derivation
Consider a ration between ratio of along-hole friction-based pressure gradient drop
LaTeX Math Inline |
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body | --uriencoded--\displaystyle \left[ \frac%7Bdp%7D%7Bdl%7D \right]_f =\frac%7B\rho_s \, q_s%5e2 %7D%7B2 A%5e2 d%7D \, f_s |
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and gravity-based pressure
gradient drop in vertical well
LaTeX Math Inline |
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body | --uriencoded--\displaystyle \left[ \frac%7Bdp%7D%7Bdl%7D \right]_g= \rho_s \, g |
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:
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