Rock Fragmentation Model Calculator

Kuz-Ram Model [Ref]

X₅₀ = A × K^-0.8 × Q^1/6 × (115/RWS)^19/30

R(x) = 100 × (1 - e^{-(x/X₅₀)n})

Where:

• X₅₀ = Average Particle Size (cm)
• A = Rock Factor
• K = Charge per Unit Volume (kg/m³)
• Q = Charge per Hole (kg)
• RWS = Relative Weight Strength of Explosive

Cunningham, C.V.B. (1983). The Kuz-Ram model for prediction of fragmentation from blasting. In First International Symposium on Rock Fragmentation by Blasting, Luleå, Sweden.

Modified Kuz-Ram Model [Ref]

R(x) = R_KR(x) × f(x/x_max)

Where:

• R_KR(x) = Predicted Value from Kuz-Ram Model
• f(x/x_max) = Correction Factor
• x_max = Maximum Particle Size

Cunningham, C.V.B. (2005). The Kuz-Ram fragmentation model – 20 years on. In Brighton Conference Proceedings 2005, R. Holmberg et al. European Federation of Explosives Engineers.

Swebrec Model [Ref]

P(x) = 100 / (1 + (ln(x_max/x)/ln(x_max/x₅₀))^b)

Where:

• x_max = Maximum Particle Size
• x₅₀ = Average Particle Size
• b = Shape Parameter of Curve

Ouchterlony, F. (2005). The Swebrec function: linking fragmentation by blasting and crushing. Mining Technology, 114(1), 29-44.

Two-Component Model (TCM) [Ref]

P(x) = f_fP_f(x) + (1-f_f)P_c(x)

Where:

• f_f = Proportion of Fine Particles
• P_f(x) = Distribution of Fine Particles
• P_c(x) = Distribution of Coarse Particles

Djordjevic, N. (1999). Two-component model of blast fragmentation. In Proceedings of the Sixth International Symposium on Rock Fragmentation by Blasting–Fragblast, 6, 213-219.