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Log-log plot of unit-rate drawdown pressure pressure variation 

LaTeX Math Inline
body\Delta p = p(0) - p_{wf}(t)
 and pressure log-derivative 
LaTeX Math Inline
body\Delta p'(t) = \frac{d \Delta p}{d \, \ln t}
 (see Fig. 1 – Fig. 2 for example).

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The pressure log-derivative 

LaTeX Math Inline
body\Delta p'(t)
 provides a zoomed insight into the pressure diffusion character at different times which helps identifying the the pressure diffusion model behind the pressure evolution.

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