The single-well self-pulse test is based on long-term monitoring of downhole pressure response to the periodic rate step change (usually shut-in or close-in).
If flowrate
The primary hard data deliverables are:
- formation pressure
- skin-factor S
- near and far zone transmissibility
- near and far zone pressure diffusivity
- time to reach the reservoir boundary
The SPT is correlating pressure variation with pre-designed flowrate variation sequence and tracks:
- pressure response amplitude which depends on formation transmissibility
and
- time lag between flowrate variation and pressure response which depends on formation diffusivity .
This allows estimating effective formation thickness
directly from field survey without assumptions on core-based permeability (compare with
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) and consequently leads to assessing the drainange area
, fluid mobility
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body | \bigg< \frac{k}{\mu} \bigg> |
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and absolute permeability
with lesser uncertainties than in BUS:
Deliverables | Description | Non-BUS Input Parameters | Key Uncertainties |
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| h = \frac{\sigma}{\phi \, c_t \, \chi} |
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Effective reservoir thickness |
Formation porosity Rock compressibility Initial water saturation Fluid compressibility | |
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| A_e = \frac{4 \, \sigma \, t_e}{c_t \, h} |
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Drainage area |
Rock compressibility Initial water saturation Fluid compressibility
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| \Big< \frac{k}{\mu} \Big> = \chi \, \phi \, c_t |
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Fluid mobility |
Rock compressibility
Initial water saturation Fluid compressibility |
Rock compressibility
Initial water saturation |
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| k_a = \frac{\Big< \frac{k}{\mu} \Big>}{\bigg[ \frac{k_{rw}}{\mu_w} + \frac{k_{ro}}{\mu_o} \bigg]} |
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Absolute permeability |
Rock compressibility
Initial water saturation
Relative permeabilities LaTeX Math Inline |
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body | \{ k_{rw}, \, k_{ro} \} |
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Fluid viscosities Fluid compressibility |
Rock compressibility
Initial water saturation
Relative permeabilities LaTeX Math Inline |
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body | \{ k_{rw}, \, k_{ro} \} |
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The absoluite permeability from SPT
is usually stacked up against core-based permeability
to validate the core samples and assess the effects of macroscopic features which are overlooked at core-plug size level.
Running SPT in two different cycling frequences allows assessing the near and far resevroir zones spearately.
The usual SPT workflow includes several cycling tests with different frequencies, the lower the frequency the longer the scanning range.
This captures variation of permeability and thickness when moving away from well location.
Together with deconvolution, the SPT is reproducing conventional PTA information and providing additional data on pressure diuffusivity.
This maybe used as estimation of permeability and thickness separately and their variation away from well location.