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Updated on May 22, 2023

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Geometric Constraints

Estimated reading: 2 minutes 1111 views

Introduction

For a mining project, the mine planner needs to dimension each unit operation to assign which set of equipment will best suit the existing conditions. On MiningMath, the operational parameters are constraints to the objective function, instead of being applied after pit optimization. This approach allows for solutions that follow either some operational criteria and maximizes NPV, resulting in a better use of the data and identifying opportunities that could be missed by an approach with manual steps and arbitrary assumptions.

Geometries & the User Interface

The Geometric tab is the place to set minimum mining & bottom widths, mining length and vertical rate of advance, whose values are applicable to every period. The user can also use surfaces to define operational constraints in compliance with period ranges, which can limit, force or achieve an exact shape, based o the constraints hierarchy.

Minimum Widths

Figure 1 shows the fields to define widths:

  • Mining Width: Distance from a pit to another.

  • Bottom Width: Bottom minimum area.

Currently, MiningMath does not mine partial blocks. As a consequence, the software will round up any widths to cover the next integer block.

Widths in the Geometry tab
Figure 1: Minimum widths

Vertical rate of advance (VR)

Figure 2 shows the field to define the VR

As said before, the MiningMath will round up the VR to cover the next integer block.

Vertical rate of advance in the Geometry tab
Figure 2: Vertical rate of advance

Mining length (ML)

Figure 3 shows the field to define the ML. Currently, this is only available in the insider version.

Figure 3: Mining length.

Figures 4-7 show a simplistic meaning of each width available and the vertical rate of advance.

Figure 4: Minimum bottom width.
Figure 4: Minimum bottom width.
Figure 5: Minimum mining width.
Figure 5: Minimum mining width.
Figure 6: Vertical rate of advance.
Figure 6: Vertical rate of advance.
ML
Figure 7: Mining length.
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Surface Mining Constraints

For each period range, the user can consider:

  • 1 force mining surface.

  • 1 restrict mining surface.

Each surface file is valid from period A up to final of period B, as highlighted in Figure 8.

Figure 8: Surface mining limits: forcing and restrict mininig.

Practical Overview: How to play with operational parameters

The following video shows how the variation of operational constraints impacts your solution and how you can take advantage of these parameters to find results more closer to the reality.

Video 1: Operational constraints

Geometry - Previous Slope Angles Next - Geometry Vertical Rate
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