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Derivative with respect to the logarithm of time:

LaTeX Math Block
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p' = \frac{dp}{d(\ln t)} = t  \, \frac{dp}{d t} 


Fig. 1. Example of log-derivative P' (in red) along with pressure drop P (in blue) for a typical DTR presented on PTA type-library log-log plot


See Also


Petroleum Industry / Upstream / Subsurface E&P Disciplines / Well Testing / Pressure Testing / Pressure Transient Analysis (PTA) /  PTA Diagnostic Plot

Well & Reservoir Surveillance ] [ Pressure Diffusion ]