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Reservoir EngineeringPressure Transient Analysis

Dimensionless Buildup Time Formula

tD=0.3604kDtϕμctrw2t_D=\frac{0.3604k_Dt}{\phi\mu c_tr_w^2}

Dimensionless Buildup Time calculates dimensionless buildup time for pressure transient analysis workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (k_D, t, phi, mu, c_t_metric, r_w_m) are known and the assumptions behind the cited pressure transient analysis 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, t_D equals 8,898.765432 dimensionless.

k_DD

0.005

th

10

phifraction

0.18

mucP

1.2

c_t_metric(kg/cm^2)^-1

0.00015

r_w_mm

0.25

Inputs

k_D

D

Effective Permeability of Flowing Phase

t

h

Elapsed Buildup Time

phi

fraction

Porosity

mu

cP

Viscosity of Flowing Fluid

c_t_metric

(kg/cm^2)^-1

Total System Effective Isothermal Compressibility

r_w_m

m

Well Radius

Outputs

t_D

dimensionless

Dimensionless Buildup Time

k_D

D

Effective Permeability of Flowing Phase

t

h

Elapsed Buildup Time

phi

fraction

Porosity

mu

cP

Viscosity of Flowing Fluid

c_t_metric

(kg/cm^2)^-1

Total System Effective Isothermal Compressibility

r_w_m

m

Well Radius

Source and review

reviewed

Reservoir Engineering Assessment of Geothermal Systems, Ramey Jr., H.J. (1981)

Ramey Jr., H.J. 1981. Reservoir Engineering Assessment of Geothermal Systems, Department of Petroleum Engineering, Stanford University, Page 5.7.

source conflict
Source

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