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Fracture Width Calculator

Calculate average propped fracture width from proppant volume or mass, fracture geometry, and proppant pack properties.

Inputs

Proppant Mass per Stage (lb)

Fracture Half-Length, x_f (ft)

Fracture Height, h_f (ft)

Proppant Grain Density (lb/ft³)

Sand ≈ 165, Ceramics ≈ 200

Proppant Pack Porosity (fraction)

Typical: 0.32-0.42

Closure Stress (psi) — for embedment

Avg Propped Width

inches

Width (mm)

Frac Area (one wing)

ft²

Proppant Loading

lb/ft²

Equations

Fracture area (both wings): A = 2 × x_f × h_f

Proppant volume: V_prop = M / ρ_grain

Bulk pack volume: V_bulk = V_prop / (1 - φ_pack)

Average width: w̄ = V_bulk / A [ft] × 12 [in/ft]

Embedment effect: Closure stress reduces effective width; estimate ~10-20% reduction at 5,000 psi.

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