Geological orientation mean vector calculator

Calculate mean trend,plunge and concentration with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use mean trend,plunge and concentration to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Orientation samples [trend degrees,plunge degrees]
[[10,20],[20,25],[15,15]]
Convention: 0 directional mean; 1 axial principal eigenvector
0
Mean trend,plunge (degrees)
[14.9405639327,20.0460938072]
Concentration
0.995264

Try another scenario

Orientation samples [trend degrees,plunge degrees]
[[10,20],[20,25],[15,15]]
Convention: 0 directional mean; 1 axial principal eigenvector
1
Mean trend,plunge (degrees)
[14.9343227226,20.0406936284]
Concentration
0.990552
Calculation method

Calculation method

Mean trend,plunge (degrees)

Directional vector mean or leading eigenvector of orientation scatter matrix for axial data.

Concentration

Directional resultant length/N; axial largest scatter eigenvalue/N.

Symbols and units
a
Orientation samples [trend degrees,plunge degrees]
b
Convention: 0 directional mean; 1 axial principal eigenvector

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Orientation samples, axial-directional convention. Returns Mean direction and concentration. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Convention: 0 directional mean; 1 axial principal eigenvector: minimum 0, maximum 1.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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