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Time interval of pressure transition when pressure drop 

LaTeX Math Inline
body\Delta delta p
 is evolving logarithmically in time:

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LaTeX Math Block
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\Deltadelta p = p_{wf}(0) - p_{wf}(t) \sim p_{wf}(0) - p_i - \frac{q_t}{4 \pi \sigma} \, \bigg[ - 2S +  \gamma 

- \ln \bigg(  \frac{4 \chi t}{r_w^2} \bigg) \bigg]

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LaTeX Math Block
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\Deltadelta p ' = \frac{d \, \Delta p}{d \, \ln t}  =  \frac{q_t}{4 \pi \sigma} = \rm const

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Fig. 1. PTA Diagnostic Plot with IARF regime developing after 100 hrsFig. 2. PTA Diagnostic Plot with IARF regime developing after 100 hrs until PSS at 1,000 hrsFig. 3. PTA Diagnostic Plot with IARF regime developing after 100 hrs until SS at 1,000 hrs


See Also

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Petroleum Industry / Upstream / Subsurface E&P Disciplines /  Field Study & Modelling / Reservoir Flow Simulation 

Pressure Testing ] [ Boundary Dominated Flow (BDF) ]