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Time interval of pressure transition when pressure variation drop 

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

...

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]

and hence the pressure pressure log-derivative stays  stays constant:

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


Since IARF is normally used to define a flow regime during a certain finite period of time, the term "infinite acting" is a misnomer.


This  pressure diffusion regime is native to radial fluid flow in This flow regime is native to pressure diffusion in vertical well, homogeneous reservoir and no boundary (see Fig. 1).


The other popular occurrence of IARF is before PSS (Fig. 2) and SS (Fig. 3).


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Fig. 1. PTA Diagnostic Plot with IARF regime developed 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) ]