Geology Petrophysical Borehole Image Fracture Density Calculator

Linear image fracture counts per actual imaged length; explicit completeness fractions, no areal network or assumed full borehole coverage. Caller independently establishes matching units, evidence, method edition and applicability; output is not compliance, diagnosis, work-safety approval, geological identity or validated hazard prediction.

Description

A borehole-image fracture density expresses counted intersections per effectively observed length.

A borehole-image fracture density expresses counted intersections per effectively observed length.1

Accounting for imaging coverage changes the exposure denominator but does not correct fracture orientation or interpretation errors. Use this tool to calculate petrophysical borehole image fracture density from the supplied measurements and assumptions.

When to use Geology Petrophysical Borehole Image Fracture Density Calculator

Use this tool to calculate petrophysical borehole image fracture density from the supplied measurements and assumptions. Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.

How to use Geology Petrophysical Borehole Image Fracture Density Calculator and understand its results

  1. Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.
  2. Enter observedIntervalLengthsM, observedImageFractureCounts, imageCoverageFractions, using the field meanings and rules below, then run the tool.
  3. Read coverageCorrectedLinearFractureDensitiesPerM, pooledObservedDensityPerM. Interpret the fields using their units, signs and evidence conventions below.
  4. If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
Input fieldMeaningValue typeRequirement
observedIntervalLengthsMObserved interval lengths mlist of numberRequired
observedImageFractureCountsObserved image fracture countslist of numberRequired
imageCoverageFractionsImage coverage fractionslist of numberRequired

Enter nonempty aligned positive interval lengths, nonnegative integer fracture counts bounded to 1,000,000 and coverage fractions in (0,1]. Effective length is interval length times coverage. Return each count/effective-length ratio and pooled counts divided by pooled effective length, in inverse meters.

effectiveLength_i=length_i×coverage_i; density_i=count_i/effectiveLength_i; pooled=Σcounts/ΣeffectiveLengths

Use the exact units, boundary rules, ordering and missing-evidence conventions above.

Output fieldMeaningValue type
coverageCorrectedLinearFractureDensitiesPerMCoverage Corrected Linear Fracture Densities Per M; follow the units, sign, ordering and evidence convention stated abovelist of number
pooledObservedDensityPerMPooled Observed Density Per M; follow the units, sign, ordering and evidence convention stated abovenumber
json
{
  "input": {
    "observedIntervalLengthsM": [
      2,
      3
    ],
    "observedImageFractureCounts": [
      4,
      3
    ],
    "imageCoverageFractions": [
      1,
      0.5
    ]
  },
  "output": {
    "coverageCorrectedLinearFractureDensitiesPerM": [
      2,
      2
    ],
    "pooledObservedDensityPerM": 2
  }
}

Limitations and assumptions

Accounting for imaging coverage changes the exposure denominator but does not correct fracture orientation or interpretation errors. Interpretation depends on the units, sampling scope and exact model described above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.

Alternative or Complementary methods

Use Geology Fracture Porosity Calculator for this related task: Fracture porosity compares an estimated fracture void volume with the bulk volume containing it.

Use Geology Fracture Permeability Parallel Plate Calculator when its separate inputs and assumptions fit the question: An ideal parallel-plate fracture has intrinsic permeability proportional to the square of its aperture.

References

  1. Geology Petrophysical Borehole Image Fracture Density Calculator — tool.io

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