BUS – Build-up Survey

SPT – Self-Pulse Testing

Conventional single-well testing is based on long-term monitoring of downhole pressure response to the step change in flow rate (usually shut-in or close-in).


The primary hard data deliverables are:
 

  • formation pressure 

  • skin-factor S
     
  • average transmissibility in drainage area 

  • time to reach the reservoir boundary 


The conditional deliverables from build-up survey would be:

DeliverablesDescriptionNon-BUS Input ParametersKey Uncertainties


V_o =  \frac{4 \, \sigma \, t_e \, (1-s_{wi})}{c_t}

where   is total compressibility:

c_t = c_r + (1-s_{wi}) \, c_o + s_{wi} \, c_w

and are rock, oil and water compressibility.



Drainable oil reserves


The rock compressibility is defined from core lab study or empirical porosity correlations

Fluid compressibility from PVT

Initial water saturation from SCAL


Rock compressibility


Initial water saturation


A_e = 4 \, \chi \, t_e

where  is pressure diffusivity:

\chi = \Big< \frac{k}{\mu} \Big> \, \frac{1}{\phi \, c_t}

where is reservoir porosity, is fluid mobility:

\Big< \frac{k}{\mu} \Big> = k_a \, \bigg[ \frac{k_{rw}}{\mu_w} + \frac{k_{ro}}{\mu_o} \bigg]

is absolute permeability to air,

are relative permeabilities to water and oil,

are water and oil viscosities


Drainage area


Formation porosity

Absolute permeability to air from core study


Relative permeabilities from SCAL

Fluid viscosities from PVT


Absolute permeability to air


Relative permeabilities


h = \sigma \, \bigg< \frac{k}{\mu} \bigg>^{-1}



Effective reservoir thickness


Absolute permeability to air from core study


Relative permeabilities from SCAL

Fluid viscosities from PVT


Absolute permeability to air


Relative permeabilities


As one can see, the drainage area and the reservoir thickness are conditioned by core data which may not be representative of the whole drainage area.



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 ) and consequently leads to assessing the drainange area , fluid mobility  and absolute permeability  with lesser uncertainties than in BUS: 


DeliverablesDescriptionNon-BUS Input ParametersKey Uncertainties


h = \frac{\sigma}{\phi \, c_t \, \chi}



Effective reservoir thickness


Formation porosity

Rock compressibility

Initial water saturation

Fluid compressibility


Rock compressibility


A_e = \frac{4 \, \sigma \, t_e}{c_t \, h}



Drainage area


Rock compressibility

Initial water saturation

Fluid compressibility




Rock compressibility


\Big< \frac{k}{\mu} \Big>  = \chi \, \phi \, c_t



Fluid mobility


Rock compressibility


Initial water saturation


Fluid compressibility


Rock compressibility


Initial water saturation


k_a =   \frac{\Big< \frac{k}{\mu} \Big>}{\bigg[ \frac{k_{rw}}{\mu_w} + \frac{k_{ro}}{\mu_o} \bigg]}



Absolute permeability


Rock compressibility


Initial water saturation


Relative permeabilities

Fluid viscosities

Fluid compressibility


Rock compressibility


Initial water saturation


Relative permeabilities



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.