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Hydraulic Fracture Half-Length & Conductivity (PKN Model) Calculator

Easily calculate and compute hydraulic fracture half-length & conductivity (pkn model) calculator with accurate equations, live formulas, and expert guidance.

High-pressure fracture fluid pumping rate in barrels per minute.

Total elapsed fracture pumping duration.

Vertical fracture height confined between barrier shale beds.

Young modulus divided by (1 - nu^2).

Apparent fracturing fluid viscosity inside fissure.

Calculated Result
7,461 ft

Fracture Half-Length (x_f)

Fracture Half-Length (x_f)

7,461 ft

Fracture Half Length Xf Ft

7461

Wellbore Maximum Width Inches

0.68

Total Slurry Volume Pumped Bbls

5850

Aspect Ratio Length Over Height

62.2

7,461 — ft

Calculation Breakdown

  1. Applied FormulaModels dynamic propagation half-length xf, wellbore fissure width w0, and geometry for Perkins-Kern-Nordgren (PKN) contained hydraulic fracture treatments in shale and tight gas.x_f \propto t^{4/5}, \quad w_0 \propto t^{1/5}, \quad F_{CD} = \frac{k_f w}{k x_f}

PKN Hydraulic Fracture Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.01.9k3.7k5.6k7.5kFracture Half-Length (x_f)

What Is the Hydraulic Fracture Half-Length & Conductivity (PKN Model) Calculator?

This tool computes hydraulic fracture half-length & conductivity (pkn model) calculator with high precision arithmetic.

How Does the Hydraulic Fracture Half-Length & Conductivity (PKN Model) Calculator Work?

Models dynamic propagation half-length xf, wellbore fissure width w0, and geometry for Perkins-Kern-Nordgren (PKN) contained hydraulic fracture treatments in shale and tight gas.

Hydraulic Fracture Half-Length & Conductivity (PKN Model) Calculator Formula & Variables

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

xf∝t4/5,w0∝t1/5,FCD=kfwkxfx_f \propto t^{4/5}, \quad w_0 \propto t^{1/5}, \quad F_{CD} = \frac{k_f w}{k x_f}

Models dynamic propagation half-length xf, wellbore fissure width w0, and geometry for Perkins-Kern-Nordgren (PKN) contained hydraulic fracture treatments in shale and tight gas.

How to Use the Hydraulic Fracture Half-Length & Conductivity (PKN Model) Calculator

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

Step-by-Step Example Calculation

Hydraulic Fracture Half-Length & Conductivity (PKN Model) Calculator Example

Input Values:

slurryInjectionRateBpm:65.0
pumpingDurationMinutes:90.0
fractureHeightHFt:120.0
rockPlaneStrainModulusEPsi:4500000.0
fracturingFluidViscosityCp:180.0
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required ft.

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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