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Total Skin in Partially Depleted Wells for a Buildup Test Formula

S=34.7rewϕμctk[pspwm+1Δt]1S=34.7r_{ew}\sqrt{\frac{\phi\mu c_t}{k}}\left[\frac{p_s-p_w}{m}+\frac{1}{\sqrt{\Delta t}}\right]-1

Total Skin in Partially Depleted Wells for a Buildup Test calculates total skin factor for well performance workflows in production engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (r_ew, phi, mu, c_t, k, p_s, p_w, Delta_t, m) are known and the assumptions behind the cited well performance relationship match the engineering case being checked.

Assumptions

  • Input values are representative for the well, reservoir, fluid, or equipment case being evaluated.
  • The declared units match the field-unit constants used in the formula.
  • The cited formula applies to the selected petroleum engineering workflow.

Limitations

  • The calculation does not replace a full engineering model or operating procedure.
  • Accuracy depends on the source correlation, assumptions, input quality, and unit consistency.

Common mistakes

  • Mixing unit systems without converting the inputs.
  • Using default example values as field recommendations.
  • Applying the formula outside the source assumptions.

Default example

Using the default inputs, S equals 1.586067 dimensionless.

r_ewdimensionless

100

phifraction

0.18

mucP

1.5

c_t1/psi

0.00001

kmD

50

p_spsi

3000

p_wpsi

2500

Delta_tday

2

mpsi/cycle

200

Inputs

r_ew

dimensionless

Dimensionless Radius Parameter Based on Perforated Length and Wellbore Radius

phi

fraction

Porosity

mu

cP

Fluid Viscosity

c_t

1/psi

Total Compressibility

k

mD

Permeability

p_s

psi

Shut-In Pressure at Selected Shut-In Time

p_w

psi

Flowing Pressure at the Instant of Shut-In

Delta_t

day

Shut-In Time

m

psi/cycle

Cartesian Pressure Buildup Plot Slope

Outputs

S

dimensionless

Total Skin Factor

Source and review

reviewed

Advanced Reservoir Engineering, Ahmed, T., McKinney, P.D. (2005)

Ahmed, T. and McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing/Elsevier, Chapter 1, Page 81.

Source

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