PKN Fracture Geometry Analysis
Spreadsheet
20 rows x 3 columns
| A | B | C | |
|---|---|---|---|
| 1 | PKN Fracture Geometry | ||
| 2 | Input Data | ||
| 3 | Injection Rate (Q) | 30 | bbl/min |
| 4 | Fluid Viscosity (mu) | 100 | cp |
| 5 | Fracture Height (h) | 100 | ft |
| 6 | Young's Modulus (E) | 3000000 | psi |
| 7 | Shear Modulus (G) | 1200000 | psi |
| 8 | Poisson's Ratio (nu) | 0.25 | |
| 9 | Pumping Time (t) | 60 | min |
| 10 | |||
| 11 | Geometry Results | ||
| 12 | Fracture Half-Length | 24.10608382 | ft |
| 13 | Fracture Width (PK) | 0.1497322195 | inches |
| 14 | Width No Loss | 1.269389098 | inches |
| 15 | Average Width | 0.1175994102 | inches |
| 16 | |||
| 17 | Pressure & Volume | ||
| 18 | Net Pressure | 199.6429593 | psi |
| 19 | Fracture Volume (1 wing) | 2.805049177 | bbl |
| 20 | Total Fluid Pumped | 1800 | bbl |
Description
Calculate PKN (Perkins-Kern-Nordgren) fracture geometry for vertically confined fractures.
Key Considerations:
- PKN model applies when fracture height is much less than length (Hf << Lf)
- Assumes elliptical cross-section with plane strain in vertical planes
- Valid for Newtonian fluids in laminar flow
- No fluid loss version assumes early time (t_D < 0.01)
How to use this blueprint
- In Excel, go to the Petroleum Office ribbon tab and click Blueprint Manager
- Search for PKN Fracture Geometry Analysis
- Click on the blueprint to preview the spreadsheet template
- Click Insert to place it into your worksheet. Modify the input values to match your data.