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S = \frac{2 \pi \sigma}{q_t} \cdot \left[ p_{wf}(t) - p({\bf r}, t) |_{{\bf r} \in \Gamma_s} \right] |
where
It quantitatively characterises permeability change in a thin layer around the well or fracture plane caused by stimulation or deterioration during production, injection or well intervention.
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For the radial-symmetric permeability change around the well it can be estimated from Hawkins equation:
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anchor | TI84WSM |
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alignment | left |
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S_M = \left ( \frac{k}{k_s} - 1 \right ) \ \ln \left ( \frac{r_s}{r_w} \right ) |
where
The definition LaTeX Math Block Reference |
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anchor | SM |
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page | 1DR pressure diffusion of low-compressibility fluid |
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suggests Definition suggest that
- deteriorated near-well reservoir zone is characterized by a positive skin-factor ,
- improved near-well reservoir zone is characterized by a negative skin-factor .
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Formula LaTeX Math Block Reference |
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anchor | pwf |
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page | 1DR pressure diffusion of low-compressibility fluid |
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provides a good example how mechanical skin-factor affects pressure dynamics.