Skip to main content
CalcPro

Hydraulic Fracturing Fracture Geometry (PKN Model) Width & Length Calculator

Easily calculate and compute hydraulic fracturing fracture geometry (pkn model) width & length calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
6.9 in

Wellbore Maximum Fracture Width (w_0)

Wellbore Maximum Fracture Width (w_0)

6.9 in

Max Wellbore Fracture Width Inches

6.9016986411533345

Average Fracture Width Inches

5.420581437084493

Max Wellbore Fracture Width Mm

175.3031454852947

Net Treating Pressure Psi

12269.686473161482

6.9 — in

Calculation Breakdown

  1. Applied FormulaCalculates the maximum fracture width at the wellbore (w_0 in inches) and net treating pressure for long, confined hydraulic fractures using the Perkins-Kern-Nordgren (PKN) model.w_0 = 3.04 \left( \frac{\mu q_i L}{E'} \right)^{1/4}, \quad E' = \frac{E}{1 - \nu^2}, \quad L = \frac{q_i t}{2 \pi C_L h_f \dots}

PKN Hydraulic Fracture Width Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.01.73.55.26.9Wellbore Maximum Fracture Width (w_0)

What Is the Hydraulic Fracturing Fracture Geometry (PKN Model) Width & Length Calculator?

The Hydraulic Fracturing Fracture Geometry (PKN Model) Width & Length Calculator computes results using established domain formulas, verified conversion factors, and user-entered parameters.

How Does the Hydraulic Fracturing Fracture Geometry (PKN Model) Width & Length Calculator Work?

Calculates the maximum fracture width at the wellbore (w_0 in inches) and net treating pressure for long, confined hydraulic fractures using the Perkins-Kern-Nordgren (PKN) model.

Hydraulic Fracturing Fracture Geometry (PKN Model) Width & Length Calculator Formula & Variables

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

w0=3.04(μqiLE′)1/4,E′=E1−ν2,L=qit2πCLhf…w_0 = 3.04 \left( \frac{\mu q_i L}{E'} \right)^{1/4}, \quad E' = \frac{E}{1 - \nu^2}, \quad L = \frac{q_i t}{2 \pi C_L h_f \dots}

Calculates the maximum fracture width at the wellbore (w_0 in inches) and net treating pressure for long, confined hydraulic fractures using the Perkins-Kern-Nordgren (PKN) model.

How to Use the Hydraulic Fracturing Fracture Geometry (PKN Model) Width & Length Calculator

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

Step-by-Step Example Calculation

Hydraulic Fracturing Fracture Geometry (PKN Model) Width & Length Calculator Example

Input Values:

fractureHalfLengthFt:450
fractureHeightFt:100
slurryInjectionRateBpm:35
apparentFluidViscosityCp:100
youngsModulusMpsi:4
poissonRatio:0.25
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required in.

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.

\n

Related Calculators

Explore more tools and calculators in Physics Calculators

Length Converter

Convert length and distance between metric and imperial units including meters, feet, inches, kilometers, miles, and yards with exact SI definitions.

Percentage Calculator

Calculate percentages: what % X is of Y, P% of X, % change, discount price, and percentage points.

Temperature Converter

Convert temperatures between Celsius (°C), Fahrenheit (°F), Kelvin (K), and Rankine (°R) with step-by-step thermodynamic formulas.

Ohm's Law & Electrical Power Calculator

Calculate Voltage (V), Current (I), Resistance (R), and Electrical Power (P) across DC circuits.

Density, Mass & Volume Calculator

Calculate density (ρ = m/V), material mass, or physical volume for solids, liquids, and gases.

Steam Turbine Surface Condenser Cooling Water Duty Calculator

Calculates surface condenser thermal heat rejection (MWth), circulating cooling water pumping volume (m³/h), and steam condensation rate.