PetroCalcHubFree
Reservoir EngineeringPressure Transient AnalysisIn-depth reference

Pseudosteady-State Dimensionless Pressure Drop for Horizontal Well Calculator

PD=2πtDA+0.5ln(A4(L/2)2)+0.5ln(2.2458CAh)+1.385P_D=2\pi t_{DA}+0.5\ln\left(\frac{A}{4(L/2)^2}\right)+0.5\ln\left(\frac{2.2458}{C_{Ah}}\right)+1.385

Enter the required inputs, confirm the units, and run the calculator to solve P_D. Review the formula source and assumptions before using the result in engineering work.

Tabular solver

Inputs

Defaults provide a quick field-unit example for the equation.

4 variables

Your input values and calculation stay in this browser.

Engineering reference summary

Calculation context and source notes

Pseudosteady-State Dimensionless Pressure Drop for Horizontal Well calculates wellbore dimensionless pressure drop for pressure transient analysis workflows in reservoir engineering. The page keeps the declared variables, units, source relationship, and output definition visible for technical review.

Use this formula when the listed inputs (t_DA, C_Ah, L, A) are known and the assumptions behind the cited pressure transient analysis relationship match the engineering case being checked.

Solves for

P_D (dimensionless)

Formula reference

Formula, variables, and default calculation

PD=2πtDA+0.5ln(A4(L/2)2)+0.5ln(2.2458CAh)+1.385P_D=2\pi t_{DA}+0.5\ln\left(\frac{A}{4(L/2)^2}\right)+0.5\ln\left(\frac{2.2458}{C_{Ah}}\right)+1.385

Reproducible default result

With the default values shown below, the calculation returns P_D = 1.68803 dimensionless. Defaults demonstrate the implementation; they are not recommended field values.

t_DAdimensionless

0.1

C_Ahdimensionless

30

Lft

2000

Aft^2

27878400

Input definitions

t_DA

dimensionless

Dimensionless Time Based on Drainage Area

C_Ah

dimensionless

Horizontal Well Shape Factor

L

ft

Horizontal Well Length

A

ft^2

Drainage Area

Output definitions

P_D

dimensionless

Wellbore Dimensionless Pressure Drop

t_DA

dimensionless

Dimensionless Time Based on Drainage Area

C_Ah

dimensionless

Horizontal Well Shape Factor

A

ft^2

Drainage Area

Engineering use, assumptions, and limits

Use this formula when the listed inputs (t_DA, C_Ah, L, A) 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.

Frequently asked questions

What inputs does the Pseudosteady-State Dimensionless Pressure Drop for Horizontal Well calculator need?

The calculation uses Dimensionless Time Based on Drainage Area (t_DA), Horizontal Well Shape Factor (C_Ah), Horizontal Well Length (L), Drainage Area (A). Enter values on the units shown beside each field.

What result does this calculator return?

The primary result is wellbore dimensionless pressure drop in dimensionless. The formula section shows the declared relationship, variables, and a reproducible default calculation.

What should I check before using the result?

Confirm the unit basis, source applicability, and input quality. The calculation does not replace a full engineering model or operating procedure. Mixing unit systems without converting the inputs.

Source and record status

Source metadata identifies the relationship implemented by the calculator. Check the cited edition, unit basis, and scope against the engineering case before operational use.

reviewedguidance published

Joshi, S. D. Horizontal Well Technology, PennWell Publishing Company, Chapter 7, Page 216.

Open source reference

Related in-depth calculators