Page tree

Versions Compared

Key

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


Specific schematic of Pressure Test consisting of long-term shut-in, followed by FLOWING test (Drawdown / Injection) then followed by  Build-up / Fall-off (see Fig. 1).

Interpretation of BUS  in terms of formation pressure and formation transmissibility under the following (Horner) conditions:

...

titleHorner Conditions


both production 

LaTeX Math Inline
bodyT
 and shut-in 
LaTeX Math Inline
bodyt
 period reach radial flow regime: 
LaTeX Math Inline
bodyT > t_{IARF}
LaTeX Math Inline
bodyt > t_{IARF}

...

LaTeX Math Inline
bodyT+t < t_e

Fig. 1 –  Horner Test schematic


The interpretation of Horner Test can be performed by conventional pressure diffusion model fitting.

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

  • both production 
    LaTeX Math Inline
    bodyT
     and shut-in 
    LaTeX Math Inline
    body\Delta t
     period reach radial flow regime: 
    LaTeX Math Inline
    bodyT > t_{IARF}
    LaTeX Math Inline
    body\Delta t > t_{IARF}


  • total duration of production and shut-in do not reach the

...

  • boundary
    LaTeX Math Inline
    bodyT+\Delta t < t_e


one can uses Horner model which  is a simplified version of BUS interpretation procedure and based on the following pressure diffusion model:In this case one 

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

...