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  • Learning from geochemical data
  • Value
  • Clustering and vectoring examples

Unsupervised Multivariate Analysis

Learning from geochemical data

Unsuperised learning is one of the most relevant and exciting applications of multivariate analysis to geoscientific data.

It provides the geologist with crucial geoscientific insights without applying any preconceived constraints on the data. This allows geologists to leverage their experience when interpreting model outputs. The outputs may reinforce existing ideas and/or raise potentially new hypothesise not previously considered.

"The greatest value of a picture is when it forces us to notice what we never expected to see."
— John Tukey

Value

  • Provide geoscientific insights without any preconceived contraints on the data.
  • Differentiate rocktypes, alteration facies, weathered from fresh rock, etc.
  • Improve drilling efficency by enhancing/reinforcing alteration vectoring models.
  • Provide exploration teams with fresh ideas/hypothesise or reinforce/challenge existing exploration models.
  • Results best interpreted by geologists with knowledge of mineralisation style/geological terrain.

Clustering and vectoring examples

Unsupervised learning is large field with many algorithms and exciting applications. Below we explore the application of two unsupervised techniques for analysing geochemical analysis; cluster analysis and factor analysis. These technqiues were applied to multielement drillhole geochemical data from the Tallenbung vein-hosted Sn deposit in New South Wales, Australia.

Please reach out if you interested in discussing these, or additional unsupervised methods and how they may be applied to your geochemical or geophysical data.

  • Cluster Analysis
  • Factor Analysis

Clustering is a powerful unsupervised technique which groups samples into groups based on similarities. There are numerous applications of clustering to geoscientfic data such as differentiating different protoliths, identification of altered equivalents, differentiating regolith from saprock, anomaly identification, etc.

At Tallenbung, advanced clustering techniques were applied for the purpose of identifying altered equivalents in the sedimentary wallrock, and characterising their geochemical signatures. In doing so helping the exploration team to understand the palaeohydrothermal architecture and thus orient future drillholes.

Below is the output of the cluster model on the left alongside the results plotted in 3D. These charts are fully intereactive and the legend can be used to turn off/on specific clusters in the spatial view (double clicking a legend item will isolate that specific class).

Straight away we can see that the cluster model has been able to differentiate weathered samples from freshrock using only the chemical assay values. The cluster model has also domained the mineralisation (yellow), as well as an alteration trend in the wallrock from Group 1 proximal to mineralisation (magenta), outwards to Groups 2 and 3. Group 4 appeared to represent least altered rocks.

In this example we can see that the unsupervised analysis has been able to domain mineralised samples in yellow, as well as an alteration trend. Group 1 represents samples proximal to mineralisation with an alteration trend vectoring outwards through Groups 2 and 3 further from mineralisation, out to the least altered rocks of Group 4.

Analytics were then constructed for each clustered group in the interactive reports provided to the exploration team, allowing the geologists to put the geochemical results into a geological context, using their invaluable onsite domain knowledge. Below is a periodic tables for the mineralised samples loaded with Sn and associated elements.

Clustered data
Clusters plotted spatially
Periodic table for the Mineralisation cluster

Factor analysis is a dimension reduction technique which extracts linearly interpretable equations or factors. These factors represent chemical associations reflecting mineralogical associations. Geologists can then interpret these associations as representing geological processes such as hydrothermal alteration, magmatic differentiation, weathering, etc.

These equations or factors are extremely useful to exploration teams as they can identify alteration styles which may have been previously unidentified and reinforce existing alteration models. In addition to providing the geologist with a great understanding of mineralisation/petrogenic processes, visualisation of these factors spatially can greatly aid targeting programs.

Below are 3D plots for two factors from the Tallenbung deposit. Factor 2 represents mineralisation, while Factor 4 represents wallrock alteration of more redox sensitive sediments adjacent to mineralisation.

Factor 2 — Mineralisation Factor 4 — Redox alteration front
Factor 2 Bi + Sn + Ag + As + W + In + Cu + Cd + Pb + Sb + Se + Te + S + Rb + Zn − Cr − TiO₂ − MgO − Na₂O − Li
Factor 4 Mo + V + Cr + Fe₂O₃ + Ba + Sc + Se + In + Al₂O₃ + Ni + Ga + Re − Y − Nb − Ta − Zr − Hf