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But historically it was given a specific focus popularity due to computational simplifications from using the Superposition Time concept, particularly when the following conditions hold true:

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Condition 1

Both FLOWING

LaTeX Math Inline
bodyT

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and SHUT-

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IN

LaTeX Math Inline
body\Delta t

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periods reach radial flow regime: 

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bodyT > t_{IARF}
LaTeX Math Inline
body\Delta t > t_{IARF}

Condition 2

The total duration of

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FLOWING and

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IN does not reach the boundary

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bodyT+\Delta t < t_e


In this case the pressure diffusion during the SHUT-IN period can be simulated as:

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anchorHorner_pwf
alignmentleft
p_{wf}(\Delta t) = p_e - \frac{q_t}{4 \pi \sigma} \, \ln \left( 1 + \frac{T}{\Delta t} \right)

The equation

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anchorHorner_pwf
shows that pressure during the shut-in segment of Horner Test this period of time is not dependent on skin-factor
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bodyS
and pressure diffusivity
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body\chi
.Even if pressure during the FLOWING survey (Drawdown / Injection) period of time is not available (which is the most popular case in practise) one can still interpret the SHUT-IN survey(Build-up / Fall-off) and get reliable estimation of formation but provide an easy linear way to assess formation pressure
LaTeX Math Inline
bodyp_e
  and formation transmissibility 
LaTeX Math Inline
body\sigma
(but not a skin-factor
LaTeX Math Inline
bodyS
).

The benefits of this survey interpretation method is that:

  • it provides the robust straightforward estimation of formation pressure
    LaTeX Math Inline
    bodyp_e
      and formation transmissibility 
    LaTeX Math Inline
    body\sigma
  • it does not require the knowledge of pressure diffusivity
    LaTeX Math Inline
    body\chi
     (unlike the case of a drawdown test)
  • it does not depend on diffusion model specifics as soon as IARF is developed during the test and the outer boundary did not affect the pressure


It should be mentioned that in modern Pressure Transient Analysis the above Condition 1 and Condition 2 are not required and one can use the powerful arsenal of modern softwares to fit the pressure readings with pressure diffusion models.

See Also

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

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