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Mine Blast Fragmentation (Kuz-Ram Model) Calculator

Easily calculate and compute mine blast fragmentation (kuz-ram model) calculator with accurate equations, live formulas, and expert guidance.

Geological rock factor (typically 6 to 10 for medium-hard rock).

Mass of explosive column per borehole.

Strength relative to ANFO (emulsion blends ~105-115).

Explosive mass consumed per cubic meter of blasted rock.

Calculated Result
24.25 cm

Mean Fragment Size x_50

Mean Fragment Size x_50

24.25 cm

Mean Fragment Size Cm

24.251709902368358

Mean Fragment Size Mm

242.51709902368358

Rock Factor A

7.5

Explosive Charge Per Hole Kg

85

24.25 — cm

Calculation Breakdown

  1. Applied FormulaApplies the Cunningham Kuz-Ram empirical blast model to predict post-blast rock mean fragment size x50 and sizing uniformity index.x_{50} = A \cdot Q^{1/6} \left(\frac{115}{E}\right)^{19/30} q^{-0.8}

Kuz-Ram Fragmentation (x50) Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.06.1121824Mean Fragment Size x_50

What Is the Mine Blast Fragmentation (Kuz-Ram Model) Calculator?

This tool computes mine blast fragmentation (kuz-ram model) calculator with high precision arithmetic.

How Does the Mine Blast Fragmentation (Kuz-Ram Model) Calculator Work?

Applies the Cunningham Kuz-Ram empirical blast model to predict post-blast rock mean fragment size x50 and sizing uniformity index.

Mine Blast Fragmentation (Kuz-Ram Model) Calculator Formula & Variables

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

x50=A⋅Q1/6(115E)19/30q−0.8x_{50} = A \cdot Q^{1/6} \left(\frac{115}{E}\right)^{19/30} q^{-0.8}

Applies the Cunningham Kuz-Ram empirical blast model to predict post-blast rock mean fragment size x50 and sizing uniformity index.

How to Use the Mine Blast Fragmentation (Kuz-Ram Model) Calculator

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

Step-by-Step Example Calculation

Mine Blast Fragmentation (Kuz-Ram Model) Calculator Example

Input Values:

rockFactorA:7.5
explosiveChargePerHoleKg:85
relativeWeightStrengthAnfoE:100
specificPowderFactorKgM3:0.65
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required cm.

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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