Ore Body Dip Calculator

Fit actual independently chosen down-dip ore-contact section and signed dip, no geodesy, full3D strike inference or generic roadway grade. Caller independently verifies units, applicability and matching conditions; no operational recipe, safety certification, causal efficacy or legal/resource classification is inferred.

Description

A down-dip section can be summarized by a fitted signed contact slope.

A down-dip section can be summarized by a fitted signed contact slope.1

Converting the slope to an angle gives a section dip without recovering a full three-dimensional orientation.

When to use Ore Body Dip Calculator

Use this tool to calculate or review the supplied observations under the stated rules. Match completed survey or ledger observations by block, segment or stage and confirm their units and boundaries.

How to use Ore Body Dip Calculator and understand its results

  1. Match completed survey or ledger observations by block, segment or stage and confirm their units and boundaries.
  2. Enter observedDownDipHorizontalStationsM, observedOreContactDepthM, using the field meanings and rules below, then run the tool.
  3. Read fittedSignedOreDipDegrees, oreContactFitRSquared. Inspect nested result fields where present, and review unknown records separately from known matches.
  4. Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
Input fieldMeaningValue typeRequirement
observedDownDipHorizontalStationsMObserved down dip horizontal stations mlist of numberRequired
observedOreContactDepthMObserved ore contact depth mlist of numberRequired

Fit a free-intercept OLS line to at least two aligned finite horizontal stations and contact depths, with nonzero station variance. Return atan(slope) in degrees and R²; negative fitted dips are retained.

The regression helper accepts 2–10000 aligned finite pairs with nonzero predictor variance. It uses ordinary least squares with a free intercept and shifted coordinates. Samples need not be sorted unless this tool adds that requirement. R² is clamped to [0,1], with constant responses assigned one. A fit summary does not add an uncertainty estimate or an unlisted output.

dip=atan(OLSslope)×180/π

Use the matching field units and the exact boundary, ordering and reference rules above.

Output fieldMeaningValue type
fittedSignedOreDipDegreesFitted signed ore dip degrees; preserve the subtraction order and sign defined in the mechanicsnumber
oreContactFitRSquaredOre contact fit r squarednumber
json
{
  "input": {
    "observedDownDipHorizontalStationsM": [
      0,
      1,
      2
    ],
    "observedOreContactDepthM": [
      0,
      1,
      2
    ]
  },
  "output": {
    "fittedSignedOreDipDegrees": 45,
    "oreContactFitRSquared": 1
  }
}

Limitations and assumptions

Units, ledger boundaries, survey interpretation and model applicability must be independently established. These summaries do not assign reserve/resource classifications or establish support adequacy, ventilation safety or an operating setting.

Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Lists and matrices must be dense, without missing cells. Numeric lists allow at most 10000 entries; ordinary string lists allow at most 128 strings of 128 UTF-16 units each; numeric matrices allow at most 128 rows and 128 columns, subject to narrower requirements above.

Alternative or Complementary methods

For a related step, use Ore Body Thickness Calculator: A drill intercept is longer than the layer-normal thickness when the borehole crosses obliquely. For a complementary comparison, use Haul Road Grade Calculator: Road grade is the signed elevation change divided by station distance.

References

  1. Ore Body Dip Calculator — tool.io

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