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Reservoir EngineeringPressure Transient Analysis

Dimensionless Buildup Pressure for Liquid Flow Formula

PDs=kh(PiPws)0.4568vscqBμP_{Ds}=\frac{kh(P_i-P_{ws})}{0.4568v_{sc}qB\mu}

Dimensionless Buildup Pressure for Liquid Flow calculates dimensionless buildup pressure for pressure transient analysis workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (k, h, P_i, P_ws, v_sc, q, B, mu) 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, P_Ds equals 364.856976 dimensionless.

kD

0.1

hm

100

P_ipsi

3000

P_wspsi

2500

v_sccc/g

1

qton/h

50

Breservoir volume/standard volume

1.2

mucP

0.5

Inputs

k

D

Effective Permeability of Flowing Phase

h

m

Net Formation Thickness

P_i

psi

Initial Reservoir Pressure

P_ws

psi

Shut-In Pressure

v_sc

cc/g

Specific Volume at Standard Conditions

q

ton/h

Production Rate

B

reservoir volume/standard volume

Formation Volume Factor

mu

cP

Viscosity of Flowing Fluid

Outputs

P_Ds

dimensionless

Dimensionless Buildup Pressure

k

D

Effective Permeability of Flowing Phase

h

m

Net Formation Thickness

P_i

psi

Initial Reservoir Pressure

P_ws

psi

Shut-In Pressure

v_sc

cc/g

Specific Volume at Standard Conditions

q

ton/h

Production Rate

B

reservoir volume/standard volume

Formation Volume Factor

mu

cP

Viscosity of Flowing Fluid

Source and review

reviewed

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

Source

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