Page tree

Versions Compared

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.


Time interval of pressure transition when pressure

...

drop 

LaTeX Math Inline
body\

...

delta p
 is evolving logarithmically in time:


LaTeX Math Block
anchorYUKTO
alignmentleft
\

...

delta 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 log-derivative stays constant:

LaTeX Math Block
anchor9VWMA
alignmentleft
\

...

delta 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 vertical well, homogeneous reservoir and no boundary (see Fig. 1)

...

Image Removed

...

.

...


The other popular

...

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


Image Added

Image Added

...

Image Removed

Image Added

Fig. 1. PTA Diagnostic Plot with IARF regime developing after 100 hrs

...

Fig. 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

...

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

Pressure Testing ] [ Boundary Dominated Flow (BDF) ]