Surface Mining Methods

Surface mining economics hinge on stripping ratio SR = waste/ore — high SR demands dragline or truck-shovel optimisation. Bench height and slope angle φ must balance shovel reach, stability, and inter-ramp geotechnical limits.

Key formulas & points

Skim these first — then read the full notes below.

  • Open cast, quarry, placer methods
  • Dragline for thick overburden
  • Truck-shovel vs in-pit crusher conveyor

Topic details

Introduction

Indian coal belt open casts (Singrauli, Talcher) operate at SR from 1:1 to 8:1 depending on seam depth. Mine planning software optimises pushback sequence to keep SR below break-even over mine life.

Scope in B.Tech and GATE syllabus

Bench geometry follows equipment match: 10–15 m bench common for 100-t class shovels. Slope angle limited by rock mass quality — geotechnical report specifies inter-ramp vs overall slope angles.

Why this topic matters in practice

Hartman & Mutmansky compares dragline casting vs truck-shovel rehandle for overburden removal economics.

Key relations & formulas

Formulas (Indian textbook notation)

  • strippingratioSR=overburdentonnageoretonnagestripping ratio SR = overburden \frac{tonnage}{ore} tonnage

Formulas (Indian textbook notation)

  • benchheightHvsshovelreachandstabilitybench height H vs shovel reach and stability

Formulas (Indian textbook notation)

  • pitslopeangleϕvsrockstrengthpit slope angle \phi vs rock strength

Notation and sign conventions

Relation 1 —
strippingratioSR=overburdentonnageoretonnagestripping ratio SR = overburden \frac{tonnage}{ore} tonnage

Formulas (Indian textbook notation)

  • strippingratioSR=overburdentonnageoretonnagestripping ratio SR = overburden \frac{tonnage}{ore} tonnage
Write this relation with symbols exactly as in Dharmarajan Mining Methods — Standard reference before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.
Relation 2 —
benchheightHvsshovelreachandstabilitybench height H vs shovel reach and stability

Formulas (Indian textbook notation)

  • benchheightHvsshovelreachandstabilitybench height H vs shovel reach and stability
Write this relation with symbols exactly as in Dharmarajan Mining Methods — Standard reference before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.
Relation 3 —
pitslopeangleϕvsrockstrengthpit slope angle \phi vs rock strength

Formulas (Indian textbook notation)

  • pitslopeangleϕvsrockstrengthpit slope angle \phi vs rock strength
Write this relation with symbols exactly as in Dharmarajan Mining Methods — Standard reference before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.

Fundamentals and definitions

Stripping ratio SR = overburden tonnage / ore tonnage (or volume ratio if densities similar). Break-even SR = (ore value − mining cost) / overburden removal cost. Mines above break-even SR need special approval or blending strategy.

Governing relations in practice

Bench height H limited by: (1) shovel digging height and dump reach, (2) bench stability — high benches increase crest failure risk, (3) blast fragmentation and vibration. Indian SCCL and CIL standards specify max bench height by equipment class.

Design and analysis considerations

Pit slope angle φ depends on rock strength, discontinuity orientation, and pore pressure. Overall slope angle < inter-ramp angle; berms catch rolling material. Factor of safety from limit equilibrium must exceed code minimum (typically 1.2–1.3).

Advanced theory and extensions

Method selection: dragline for thick flat overburden with casting; truck-shovel flexible for selective mining and deep pits; in-pit crushing and conveying reduces haul cost when SR is high and pit is deep.

Assumptions and validity limits

State assumptions explicitly before using any relation for surface mining methods — steady state, uniform properties, linear elastic material, ideal gas, incompressible flow, etc., as applicable.
Wrong assumptions invalidate the entire solution even when the formula is correct. In Mining Methods viva and GATE descriptive questions, listing valid assumptions often earns separate marks.

Step-by-step problem approach

1. Read the question and list given data with SI units (common in Mining Methods papers).
2. Draw a neat labelled diagram where applicable — examiners in Indian universities award diagram marks even when arithmetic slips.
3. Identify which relation from this topic applies to surface mining methods.
4. Use equation 1:
strippingratioSR=overburdentonnageoretonnagestripping ratio SR = overburden \frac{tonnage}{ore} tonnage
.
5. Use equation 2:
benchheightHvsshovelreachandstabilitybench height H vs shovel reach and stability
.
6. Substitute values, compute, and verify units and sign (direction).
7. State conclusion in one line — e.g. safe/unsafe, stable/unstable, feasible/infeasible.

Applications & exam relevance

Surface Mining Methods appears in coal and metal mines. In Indian mining curricula this topic is tested because it connects theory to surface and underground extraction.
GATE and semester exams often combine surface mining methods with earlier units — revise prerequisites before attempting mixed problems.
Industry interview panels sometimes ask: "Where did you use surface mining methods?" — answer with a lab, mini-project, or plant visit example if possible.

Common mistakes in exams

• Using volume ratio without adjusting for waste and ore bulk density difference
• Setting bench height above equipment reach specification
• Applying overall slope angle where bench face angle was asked
• Ignoring rehandle when dragline casting efficiency < 100%

Quick revision checklist

Before attempting surface mining methods problems, confirm you can:
1. Open cast, quarry, placer methods
2. Dragline for thick overburden
3. Truck-shovel vs in-pit crusher conveyor
Revise the solved examples in Dharmarajan Mining Methods — Standard reference and one previous-year GATE or university paper for this unit.

Worked examples

Try the problem first — open the solution when you are ready to check.

Stripping ratio

Problem

Overburden removed 6.2 Mt; ore extracted 1.55 Mt. Find SR and state if high for a metal mine.

Solution

SR = 6.2/1.55 = 4:1 — moderately high; economics depend on ore grade and OB removal cost per tonne.

Conceptual check — Surface Mining Methods

Problem

In a Mining Methods semester or GATE paper you are asked: "State the main assumption, the governing relation, and one practical consequence of surface mining methods." What should a complete answer include?

📖 Standard books (India)

  • Dharmarajan Mining MethodsStandard reference

    Read: Syllabus unit

    Referenced in Indian B.Tech syllabus