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Pressure difference between the current wellbore flowing current bottom-hole pressure

LaTeX Math Inline
bodyp_{wf}(t)
 and the wellbore flowing pressure  bottom-hole pressure 
LaTeX Math Inline
bodyp_{wf}(t_0)
 at time moment 
LaTeX Math Inline
bodyt=t_0
 when flowrate has changed :

LaTeX Math Block
alignmentleft
\delta p (t) = p_{wf}(t_0) - p_{wf}(t)


Pressure drop is:

positive

LaTeX Math Inline
body \delta p (t) >0

when production rate is increased or injection rate is decreased 

negative

LaTeX Math Inline
body \delta p (t)

...

 

<0

when production rate is decreased or injection rate is increased


On log-log plots the pressure drop is always pictured as positive (see Fig. 1).


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Fig. 1.

A sample

Example of

typical DTR (

pressure drop P (in blue ) derived from them BHP data records (Fig. 2) and

log-derivative P' in red) presented in log-log coordinates for PTA type-library analysis

presented at log-log plot

Fig. 2. A source BHP data records which lead to a pressure drop on Fig. 1



In particular case when the well has been shut-in for a long time and bottom-hole pressure has stabilised by the time moment

LaTeX Math Inline
bodyt_0
 and when well is opened for flow the pressure drop will be equal to pressure drawdown:

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{\rm pressure } \, \, {\rm drop} = \delta p (t) = p_{wf}(t_0) - p_{wf}(t) = p_e - p_{wf}(t) = \Delta p(t) = {\rm pressure } \, \, {\rm drawdown}

as the initial bottom-hole pressure value 

LaTeX Math Inline
bodyp_{wf}(t_0)
represents formation pressure 
LaTeX Math Inline
bodyp_e
LaTeX Math Inline
bodyp_{wf}(t_0) = p_e


See Also

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

Well & Reservoir Surveillance ] [ Pressure Diffusion ] [ Pressure drawdown ]