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Slope failure mode · Engineering reference

Wedge slope failure: two intersecting planes define a sliding wedge.

Wedge slope failure is the classic rock-slope failure mode in jointed and bedded rock masses. Two intersecting discontinuity planes (joints, faults, or bedding plus joint combination) define a wedge-shaped block that slides along the line of intersection of the two planes. The block has three free faces (the two discontinuity surfaces plus the slope face) and is fully kinematically defined by the two plane orientations. Common in jointed granitic rock cuts, foliated metamorphic slopes, and bedded sedimentary slopes where bedding and one or more joint sets intersect.

01 / Definition and mechanism

The two-plane wedge mechanism.

In wedge failure, two pre-existing discontinuity surfaces intersect inside the rock mass. The intersection of these two planes is a 3D line (the "line of intersection") with a specific plunge (angle below horizontal) and trend (azimuth direction). The wedge-shaped block bounded by the two planes and the slope face is kinematically free to slide along this line of intersection if certain geometric conditions are satisfied. The mass moves as a single intact wedge along the line of intersection; the two discontinuity planes serve as the failure surfaces.

Wedge failure is geometrically 3D in nature, unlike planar failure (essentially 2D along a single plane) and circular failure (typically analysed in 2D cross-section). This makes wedge failure inherently more complex to analyse but also often more amenable to targeted intervention because the failing block is defined and removable rather than spread across the full face.

02 / Kinematic conditions (Hoek and Bray)

Three conditions all must be satisfied.

  • 1. Line of intersection daylights into the slope face: the trend (azimuth) of the line of intersection must align such that the intersection point lies above the slope face on a stereonet (or strictly: the plunge direction is within an envelope that allows the wedge to slide out of the face).
  • 2. Plunge less than slope-face dip: the plunge of the line of intersection must be less than the dip of the slope face. If the line plunges steeper than the face, it does not daylight and the wedge cannot move.
  • 3. Plunge exceeds friction angle: the plunge of the line of intersection must exceed the average friction angle of the two discontinuity surfaces. Gravity must overcome the combined friction on both planes for sliding to be kinematically possible.

Stereonet analysis (DIPS or equivalent) tests all three conditions in one diagram. The great circles of the two planes intersect at a single point (the line of intersection). Plotting against the slope-face envelope identifies whether the kinematic conditions are satisfied.

03 / Field indicators and diagnosis

How to recognise at site.

  • V-shaped scar in the rock face from a previous wedge release, with two clean planar surfaces meeting at a line plunging into the slope.
  • Wedge-shaped block visible at the toe with the two planar back surfaces showing the discontinuity orientations.
  • Two prominent discontinuity sets mapped on the face whose intersection plots within the kinematic envelope on stereonet.
  • Tension cracks at the crest defining a wedge shape rather than a linear band parallel to the strike (linear bands indicate planar; V or triangular shape indicates wedge).
  • Seepage at the line of intersection where groundwater accumulates along the most permeable contact between the two planes.
  • Talus debris at the toe showing characteristic wedge-block facets rather than rounded ravelling.
04 / Root causes

What drives wedge failure.

  • Adverse jointing or bedding geometry from the start: the cut was made through a rock mass where two discontinuity sets intersect such that the wedge is kinematically possible. Often unavoidable on highway and rail cuts through complex geology.
  • Pore-water pressure on the two planes: monsoon-recharged water accumulating along the intersecting planes generates uplift pressure that reduces effective normal stress on both surfaces. The Malaysian dominant trigger.
  • Weathering of joint surfaces: clay infill, iron oxide coating, or chloride wash on the joint surface reducing effective friction below the plunge angle.
  • Adjacent excavation or surcharge: new construction at the crest, vibration from adjacent works, or earthquake loading reducing the available friction margin.
  • Stress relief in deep cuts: deep cut slopes that release in-situ stress can open existing joint sets, increasing kinematic freedom.
05 / Remediation approach

Targeted wedge interventions.

1. Re-grade to remove kinematic wedge

Where footprint allows, re-grading the slope (flattening the face or splaying the corners) can move the slope-face geometry out of the kinematic envelope, blocking the wedge mode. Most effective during initial design; less practical post-failure.

2. Targeted rock bolting / ground anchors

The wedge's 3D geometry sometimes allows targeted anchoring of just the kinematic wedge rather than the full face. Anchor orientation chosen to cross the line of intersection at an angle that maximises restoring force per anchor. Design per Hoek and Bray closed-form wedge equation or Swedge 3D analysis. Rock bolting, ground anchors.

3. Drainage to remove uplift pressure

Sub-horizontal drains drilled into the slope body to intercept groundwater on both planes. Often the cheapest single intervention. Targeted to the line of intersection where seepage typically concentrates.

4. Face protection

Shotcrete face and mesh to prevent the surface ravelling that exposes more joint surface over time and reduces effective friction. Combined with anchors on critical wedge locations.

Buttressing / Mass removal

On small wedges, controlled scaling (removal of the loose wedge by hand or mechanical methods) eliminates the failure source. On large wedges, mass concrete buttress at the toe can provide the restoring force when anchoring is impractical.

06 / Analysis tools

Standard methods for wedge analysis.

  • Stereonet (DIPS): visualisation of the two plane orientations, line of intersection, and slope face envelope. Identifies kinematic feasibility geometrically.
  • Hoek and Bray closed-form wedge equation: factor of safety calculation balancing driving force vs combined friction on the two planes, with anchor force as a design variable.
  • Swedge (Rocscience) and equivalent 3D wedge software: direct 3D limit-equilibrium wedge analysis with explicit plane orientations, pore-water pressure on each plane, anchor force, and seismic loading.
  • 3D finite-element analysis (RS3, PLAXIS 3D): for complex wedge geometries with non-planar boundary surfaces, multiple wedges interacting, or staged anchor installation modelling.
  • Block theory (Goodman and Shi): identifies all removable blocks given the jointing geometry. Particularly useful when more than two discontinuity sets are present and multiple wedge combinations are possible.
  • Monitoring: extensometers across the line of intersection, prisms for surface movement, piezometers on the planes. Critical movement thresholds set per project.

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