Underground Ground Support

Rate the rock mass, get the class, and read off the bolt length, bolt spacing and shotcrete the published guidelines call for, plus how many bolts that is per meter of heading and what it costs.
Underground development headings only: a drill-and-blast tunnel, drift, crosscut or ramp in hard rock. It is not a slope design, not a coal roof-bolting design, not a pillar design, and it is not a substitute for a ground control management plan. The support it quotes is an EMPIRICAL STARTING POINT from a 10 m wide tunnel under 25 MPa. Your ground engineer signs the pattern, not this page.

A bolted and shotcreted underground development heading with the rock mass exposed at the face

Step 1: The rock

Three numbers. They carry 55 of the 100 rating points between them.

Step 2: The joints

Five things about the joint surfaces, worth 6 points each. This is the condition parameter, scored in detail rather than picked off one prose description.

Step 3: Water and orientation

Water costs you up to 15 points. Orientation is a penalty, never a bonus.

Step 4: The heading and the cost

The pattern comes from the class. Override it and the working table says so.

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rock mass rating
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rock class
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support cost per meter
StepValueWhere it comes from

Where the rating comes from

The pattern, drawn

How each rating is scored
ParameterRangeRating
1. Strength of intact rock
>250 MPa15
100-250 MPa12
50-100 MPa7
25-50 MPa4
5-25 MPa2
1-5 MPa1
<1 MPa0
2. Drill core quality RQD
90%-100%20
75%-90%17
50%-75%13
25%-50%8
<25%3
3. Spacing of discontinuities
>2 m20
0.6-2 m15
200-600 mm10
60-200 mm8
<60 mm5
4. Discontinuity length (persistence)
<1 m6
1-3 m4
3-10 m2
10-20 m1
>20 m0
4. Separation (aperture)
None6
<0.1 mm5
0.1-1.0 mm4
1-5 mm1
>5 mm0
4. Roughness
Very rough6
Rough5
Slightly rough3
Smooth1
Slickensided0
4. Infilling (gouge)
None6
Hard filling <5 mm4
Hard filling >5 mm2
Soft filling <5 mm2
Soft filling >5 mm0
4. Weathering
Unweathered6
Slightly weathered5
Moderately weathered3
Highly weathered1
Decomposed0
5. Groundwater
Completely dry: None, ratio 015
Damp: <10 L/min, ratio <0.110
Wet: 10-25 L/min, ratio 0.1-0.27
Dripping: 25-125 L/min, ratio 0.2-0.54
Flowing: >125 L/min, ratio >0.50
B. Orientation adjustment, tunnels and mines
Drive with dip, dip 45-90 degrees: Very favorable0
Drive with dip, dip 20-45 degrees: Favorable-2
Strike parallel to axis, dip 45-90 degrees: Very unfavorable-12
Strike parallel to axis, dip 20-45 degrees: Fair-5
Drive against dip, dip 45-90 degrees: Fair-5
Drive against dip, dip 20-45 degrees: Unfavorable-10
Dip 0-20 degrees, irrespective of strike: Fair-5

The rock mass rating system after Bieniawski 1989, printed in three places on this shelf and cross-checked between them: SME Mining Engineering Handbook, 3rd ed. Table 8.4-6, p. 536; SME Mining Reference Handbook, 2nd ed. Table 14.3, p. 333; and SME Mining Reference Handbook, 1st ed. Table 13.2, p. 244. All three agree on every rating.

Three printings, not three authorities. Two of those are successive editions of the same reference handbook, so this is a weaker claim than three unrelated books and it is worth stating plainly rather than letting the count do the talking. It is still a real check: the editions are separately typeset, they were separately transcribed here, and a disagreement between them is exactly what found the error below.

One disagreement, resolved. Table 14.3 p. 333 prints the middle spacing band as “2–600 mm”. It should read 200–600 mm, which is what the other two books print, and the band sequence settles it on its own: >2 m, 0.6–2 m, 200–600 mm, 60–200 mm, <60 mm is descending and contiguous, while “2–600 mm” would swallow the band below it. That is an error in the printed page rather than in our reading of it, so this page uses 200–600 mm.

Estimating strength without a lab
TermUCS, MPaWhat you can do to it
Extremely strong>250Chipped with a geological hammer
Very strong100-250Many blows with geological hammer to break core
Strong50-100More than one blow with geological hammer to break core
Medium strong25-50Cannot be scraped or peeled with a pocket knife; core breaks with a single hammer blow
Weak5-25Can be peeled with a pocket knife; shallow indentation from a firm blow with the hammer point
Very weak1-5Crumbles under a firm blow with the hammer point; can be peeled with a pocket knife
Extremely weak0.25-1Indented by fingernail

SME Mining Engineering Handbook Table 8.4-4, p. 532, adapted from Hoek and Brown 1997. The seven field terms map one for one onto the seven strength bands the rating uses, which is why picking one in Step 1 can fill the box rather than just hint at it.

ClassMPapsiTypical rocks
Weak≤41.3≤6,000Coal, weathered rock, alluvium
Moderate41.3-137.96,000-20,000Shale, sandstone, limestone, schist, evaporites, disseminated deposit
Strong137.9-206.820,000-30,000Metamorphic, igneous, veins, marble, slate
Very strong≥206.8≥30,000Quartzite, basalt, diabase

SME Mining Engineering Handbook Table 6.2-7, p. 351, as a sanity check on what the hammer told you. Published in both MPa and psi, and the two agree: 41.3 MPa against 6,000 psi is 41.37, 137.9 against 20,000 is 137.90, 206.8 against 30,000 is 206.84. Note these are broad rock-type bands and a weathered example of any of them sits lower.

What the guidelines call for, class by class
ClassExcavationRock bolts, 20 mm fully grouted ShotcreteSteel sets
I: Very good rock
RMR 81-100
Full face; 3 m advanceGenerally no support required except for occasional spot boltingn/an/a
II: Good rock
RMR 61-80
Full face; 1.0-1.5 m advance; complete support 20 m from faceLocally bolts in crown 3 m long, spaced 2.5 m with occasional wire mesh50 mm in crown where requiredNone
III: Fair rock
RMR 41-60
Top heading and bench; 1.5-3 m advance in top heading; begin support after each blast; complete support 10 m from faceSystematic bolts 4 m long, spaced 1.5-2 m in crown and walls with wire mesh in crown50-100 mm in crown and 30 mm in sidesNone
IV: Poor rock
RMR 21-40
Top heading and bench; 1.0-1.5 m advance in top heading; install support concurrently with excavation 10 m from faceSystematic bolts 4-5 m long, spaced 1-1.5 m in crown and walls with wire mesh100-150 mm in crown and 100 mm in sidesLight to medium ribs spaced 1.5 m apart where required
V: Very poor rock
RMR 0-20
Multiple drifts; 0.5-1.5 m advance in top heading; install support concurrently with excavation; shotcrete as soon as possible after blastingSystematic bolts 5-6 m long, spaced 1-1.5 m in crown and walls with wire mesh; bolt invert150-200 mm in crown, 150 mm in sides, and 50 mm on faceMedium to heavy ribs spaced 0.75 m apart with steel lagging and forepoling if required; close invert

Bieniawski 1979, printed identically in the SME Mining Reference Handbook at 2nd ed. p. 335 and 1st ed. p. 245. Two separately typeset editions, separately transcribed here, agreeing number for number. Not two independent authorities, but a genuine check on the reading of both.

Read the basis before you use it. Both books print the same one: a horseshoe profile, 10 m wide, vertical stress below 25 MPa, driven by drill and blast, and both add that the table is a guide only. A 5 m heading is not a 10 m tunnel, and this page tells you when your span, stress or profile has walked away from that basis instead of quietly scaling the pattern as though it had not.

What each class means on the ground
ParameterClass IClass IIClass III Class IVClass V
Average stand-up time20 years for 15 m span1 year for 10 m span1 week for 5 m span10 hours for 2.5 m span30 minutes for 1 m span
Cohesion of rock mass, kPa>400300-400200-300100-200<100
Friction angle of rock mass, degrees>4535-4525-3515-25<15

SME Mining Reference Handbook, 2nd ed. Table 14.3 D, p. 334. Stand-up time is quoted against a specific span, and the spans differ by class, so it is not a number you can carry across to your own heading without checking the span it belongs to. This page compares the two for you rather than interpolating between them, because the source publishes five points and no curve.

Friction bolt properties
Property
Actual bolt diameter, mm3435.53946
Weight, kg/m1.641.641.882.8
Minimum ultimate strength, kN81.6581.6590.7136.1
Recommended initial load, kN27-5427-5427-5454-90
Recommended bit diameter, mm31-3231-3335-3841-45
Bolt length, m0.45-2.40.45-30.45-30.9-3.7

SME Mining Engineering Handbook, p. 617, typical Split Set properties, courtesy of Mansour Mining. Shown because bolt length is one of the two numbers this page hands you and the hardware has to exist in that length: the shorter sets stop at 2.4 m and only the largest reaches 3.7 m, so a guideline calling for 5 to 6 m bolts in very poor rock is calling for a different product entirely. The guideline table itself is written for 20 mm fully grouted bar, not friction sets.

A coal-entry roof bolt capacity table also sits in the corpus and is deliberately NOT used here: its capacity column carries no unit on the printed page, and coal entry support is a different problem from a hard-rock tunnel.

What this tool does not know. It rates the rock mass and reads a published guideline. It does not know your stress field beyond the one number you typed, it cannot see a fault, a shear or a wedge, and a rating is an average over ground that is not average. It does not design against rockburst, squeezing or swelling ground, and it has no view on dynamic support. It does not check that the bolt you specify can reach its anchor, or that the plate suits the mesh. Empirical classification is a starting point that assumes ground broadly like the cases it was built from, and the further your ground sits from a 10 m drill-and-blast tunnel under 25 MPa, the less it is telling you. Every published value has been checked against the printed page.

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Worked example

Worked with the values this page loads with, so the method can be checked against the cited source without entering anything. Change any input above and the calculator recomputes; the numbers below stay as a fixed reference case.

1. Strength of intact rock12 pts100-250 MPa, Table 14.3 A p. 333, cross-checked p. 536 and p. 244
2. Drill core quality RQD13 pts50%-75%, Table 14.3 A p. 333, cross-checked p. 536 and p. 244
3. Spacing of discontinuities10 pts200-600 mm, Table 14.3 A p. 333, cross-checked p. 536 and p. 244 (see the note on this band)
4. Discontinuity length (persistence)4 pts1-3 m, Table 14.3 E p. 334
4. Separation (aperture)4 pts0.1-1.0 mm, Table 14.3 E p. 334
4. Roughness3 ptsSlightly rough, Table 14.3 E p. 334
4. Infilling (gouge)4 ptsHard filling <5 mm, Table 14.3 E p. 334
4. Weathering5 ptsSlightly weathered, Table 14.3 E p. 334
= condition of discontinuities20 ptsthe five above, max 30, Table 14.3 E p. 334
5. Groundwater10 ptsDamp, <10 L/min, Table 14.3 A p. 333, cross-checked p. 536 and p. 244
= basic rating65 ptsparameters 1 to 5, max 100
B. Orientation adjustment-5 ptsFair, tunnels and mines, Table 14.3 B p. 333
= rock mass rating60Table 14.3 C p. 333
= rock classIII: Fair rockRMR 41-60, Table 14.3 C p. 333
Average stand-up time1 week at a 5 m spanTable 14.3 D p. 334, quoted at that span, not yours
Cohesion of the rock mass200-300 kPaTable 14.3 D p. 334
Friction angle of the rock mass25-35°Table 14.3 D p. 334
ExcavationTop heading and bench; 1.5-3 m advance in top heading; begin support after each blast; complete support 10 m from faceBieniawski 1979, p. 335 and p. 245
Published bolt length4 mBieniawski 1979, p. 335 and p. 245
Published bolt spacing1.5-2 mBieniawski 1979, p. 335 and p. 245
Bolt length in use4.00 mmiddle of the published range
Bolt spacing in use1.75 mmiddle of the published range
Bolted perimeter14.0 mspan + 2 × height; the floor is not bolted
= bolts per meter of heading4.6perimeter ÷ spacing ÷ spacing, square pattern
Shotcrete50-100 mm in crown and 30 mm in sidesBieniawski 1979, p. 335 and p. 245
= shotcrete per meter of heading0.65 m³75 mm over the crown, 30 mm on the sides
Mesh14.0 m² per meterBieniawski 1979, p. 335 and p. 245
Bolts$206 / m4.6 × $45
Shotcrete$387 / m0.65 m³ × your rate
Mesh$392 / m14.0 m² × your rate
= support cost per meter of heading$985 / mthe three above

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