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Horizontal Well Productivity Index (Joshi Model) Calculator

Easily calculate and compute horizontal well productivity index (joshi model) calculator with accurate equations, live formulas, and expert guidance.

Drilled horizontal section.

Circular drainage radius.

Vertical height of pay zone.

Radial horizontal permeability.

Vertical cross-bedding permeability.

In-situ oil dynamic viscosity.

Swelling factor.

Drilled hole radius.

Calculated Result
2.41 STB/(day·psi)

Horizontal Well Productivity Index (J_h)

Horizontal Well Productivity Index (J_h)

2.41 STB/(day·psi)

Horizontal Productivity Index Jh

2.4117721474528944

Vertical Productivity Index Jv

0.23088595905537473

Horizontal To Vertical Ratio

10.445728953463407

Anisotropy Beta

2.23606797749979

2.41 — STB/(day·psi)

Calculation Breakdown

  1. Applied FormulaApplies Joshi’s elliptical drainage model to calculate horizontal well productivity index (PI) and evaluate production multiplier over a vertical well.J_h = \frac{2\pi k_h h / (\mu_o B_o)}{\ln\left(\frac{a + \sqrt{a^2 - (L/2)^2}}{L/2}\right) + \frac{\beta^2 h}{L} \ln\left(\frac{\beta h}{2 r_w}\right)}

Horizontal Well Joshi PI Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.61.21.82.4Horizontal Well Productivity Index (J_h)

What Is the Horizontal Well Productivity Index (Joshi Model) Calculator?

This tool computes horizontal well productivity index (joshi model) calculator with high precision arithmetic.

How Does the Horizontal Well Productivity Index (Joshi Model) Calculator Work?

Applies Joshi’s elliptical drainage model to calculate horizontal well productivity index (PI) and evaluate production multiplier over a vertical well.

Horizontal Well Productivity Index (Joshi Model) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Jh=2πkhh/(μoBo)ln⁡(a+a2−(L/2)2L/2)+β2hLln⁡(βh2rw)J_h = \frac{2\pi k_h h / (\mu_o B_o)}{\ln\left(\frac{a + \sqrt{a^2 - (L/2)^2}}{L/2}\right) + \frac{\beta^2 h}{L} \ln\left(\frac{\beta h}{2 r_w}\right)}

Applies Joshi’s elliptical drainage model to calculate horizontal well productivity index (PI) and evaluate production multiplier over a vertical well.

How to Use the Horizontal Well Productivity Index (Joshi Model) Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Horizontal Well Productivity Index (Joshi Model) Calculator Example

Input Values:

lateralLengthFeet:4000
drainageRadiusReFeet:1500
formationThicknessFeet:50
horizontalPermeabilityMd:15
verticalPermeabilityMd:3
oilViscosityCp:2.2
formationFvfBo:1.25
wellboreRadiusRwFeet:0.35
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required STB/(day·psi).

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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