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Calcimator

Blast Pattern Design Calculator

Calculate burden, spacing, hole depth, and powder factor for bench blasting operations.

About this calculator

Bench blasting -- the standard method for breaking rock in surface mining and quarrying -- relies on a geometric pattern of drilled, explosive-loaded holes arranged to fracture and displace rock efficiently without excessive flyrock or ground vibration. This calculator sizes that pattern from three core dimensions: burden (the distance from a blast hole to the nearest free rock face, which controls how much rock each hole has to move) and spacing (the distance between adjacent holes along a row), both scaled from hole diameter and rock hardness; and hole depth, which extends below the visible bench face by a "subdrill" margin so the blast breaks rock cleanly down to grade rather than leaving an uneven toe.

Harder rock needs a tighter burden-to-diameter ratio (more holes, more explosive per unit volume) to fracture it, while softer rock can be broken with a looser pattern using less explosive per ton. The calculator also computes stemming (inert material packed into the top of the hole to contain the explosive's energy) and powder factor -- the industry's standard efficiency metric, expressed in pounds of explosive per ton of rock broken -- which mine operators use for both explosive purchasing and regulatory reporting.

Inputs

in
ft
lb/ft³

Results

Burden

13.5 ft

≈ 2 adult heights

Spacing16.3 ft
Hole Depth44.1 ft
Subdrill4.1 ft
Stemming9.5 ft
Charge Length34.6 ft
Tons per Hole726 t
Powder Factor0.68 lb/t
Explosive (lbs)496.79
How to Use This Calculator
  1. Enter hole diameter (in) from your drill specifications.
  2. Set bench height (ft) and rock density (lb/ft³) for your ore body.
  3. Select rock type: Soft, Medium, or Hard Rock — affects burden factor and spacing ratio.
  4. Review Burden (ft), Spacing (ft), Subdrill (ft), and Stemming (ft) for the blast pattern layout.
  5. Use Explosive (lbs) and Powder Factor (lb/t) for explosive purchasing and regulatory reporting.

How the result changes with Hole Diameter

Hole DiameterBurden
3.256.8 ft
4.8810.2 ft
9.7520.3 ft
1531.3 ft

What each input means

Hole Diameter
Blast hole diameter in inches
Bench Height
Height of the bench face
Rock Density
In-situ rock density
Rock Type
General rock hardness classification

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Hole Diameter = 6.5, Bench Height = 40, Rock Density = 165, Rock Type = 1 = 4 input(s) provided
  2. Calculate Burden
    Burden
    13.5 = 13.5
  3. Calculate Spacing
    Spacing
    16.3 = 16.3
  4. Calculate Hole Depth
    Hole Depth
    44.1 = 44.1

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does hole diameter change the burden and spacing so much?

Burden and spacing are both calculated as a multiple of hole diameter (converted to feet), scaled by a rock-hardness factor -- a wider hole holds more explosive per foot of depth, so it can effectively fracture and displace a proportionally larger volume of rock around it. Doubling hole diameter roughly doubles both burden and spacing in this calculator's formula, which is why drill-bit selection is one of the first decisions in any blast design.

Does harder rock need MORE or LESS burden distance than softer rock?

Less. This calculator uses a tighter burden factor for Hard Rock (22) than for Medium (25) or Soft Rock (28), meaning holes are spaced closer together in hard rock at the same diameter. Harder rock resists fracturing more, so a smaller burden concentrates more explosive energy per unit of rock to achieve adequate breakage, while softer rock fractures more easily and can be broken with a wider, more economical pattern.

What is subdrill and why does the hole go deeper than the bench face?

Subdrill is the extra depth drilled below the visible bench floor -- calculated here as 30% of the burden -- to ensure the explosive charge breaks rock cleanly down to the design grade. Without subdrill, the blast tends to leave an uneven "toe" of unbroken rock at the base of the bench, since the explosive's fracturing effect is weakest right at the free face beneath it.

How does bench height affect the total explosive needed per hole?

Bench height increases both the hole's charge length (more explosive column) and the rock volume broken per hole (burden × spacing × bench height), so a taller bench raises both total explosive load and tons broken per hole together. Because those two quantities move together rather than independently, powder factor -- the pounds-of-explosive-per-ton efficiency ratio -- responds much less to bench height than either the explosive load or the tonnage does on its own.

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