It is related to gas compressibility factor
as:
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LaTeX Math Block |
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| c_g = - \frac{1}{V} \frac{dV}{dp} = - \frac{d}{dp} \left( \ln V \right) |
Substituting from LaTeX Math Block Reference |
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anchor | Z |
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page | Compressibility factor (Z-factor) |
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| into LaTeX Math Block Reference |
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| one arrives to: LaTeX Math Block |
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| c_g = - \frac{d}{dp} \left( \ln \left( \frac{Z}{p} + \ln (\nu R T) \right) \right) = - \frac{p}{Z} \frac{d}{dp} \left( \frac{Z}{p} \right) =
- \frac{p}{Z} \left( \frac{1}{p} \frac{dZ}{dp} - \frac{Z}{p^2} \right) = \frac{1}{p} - \frac{1}{Z} \frac{dZ}{dp} |
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See Also
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Natural Science / Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Statics / Fluid compressibility
Natural Science / Physics / Chemistry / Chemical Substance / Natural Gas (chemical substance)
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Fluid (PVT) Analysis / Fluid (PVT) modelling
Reference
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Chemical Engineering Calculations @ https://checalc.com