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Reservoir EngineeringPressure Transient Analysis

Horner Semilog Buildup Pressure Extrapolation Formula

pws=pmlog10(H)p_{ws}=p^*-m\log_{10}(H)

Horner Semilog Buildup Pressure Extrapolation calculates shut-in bottomhole pressure on horner straight line for pressure transient analysis workflows in reservoir engineering.

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How engineers use this formula

Use this formula when the listed inputs (p_star, m, H) 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_ws equals 3,420 psi.

p_starpsi

3500

mpsi/cycle

80

Hdimensionless

10

Inputs

p_star

psi

Horner Extrapolated Pressure at H = 1

m

psi/cycle

Positive Semilog Straight-Line Slope Magnitude

H

dimensionless

Horner Time Ratio

Outputs

p_ws

psi

Shut-In Bottomhole Pressure on Horner Straight Line

p_star

psi

Horner Extrapolated Pressure at H = 1

m

psi/cycle

Positive Semilog Straight-Line Slope Magnitude

H

dimensionless

Horner Time Ratio

Source and review

reviewed

AAPG Wiki, Pressure transient testing, Horner buildup plot and extrapolation discussion.

Source

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