Skip to main content

Investigation of the Structure of Geological Process Through Multivariate Statistical Analysis—The Creation of a Coal

  • Chapter
Progress in Geomathematics

Abstract

The purpose of this study was to capture the structure of a geological process within a multivariate statistical framework by using geological data generated by that process and, where applicable, by associated processes. It is important to the practitioners of statistical analysis in geology to determine the degree to which the geological process can be captured and explained by multivariate analysis by using sample data (for example, chemical analyses) taken from the geological entity created by that process. The process chosen for study here is the creation of a coal deposit.

In this study, the data are chemical analyses, expressed in weight percentage and parts per million, and therefore are subject to the affects of the constant sum phenomenon. The data array is the chemical composition of the whole coal. This restriction on the data imposed by the constant sum phenomenon was removed by using the centered logratio (clr) transformation. The use of scatter plots and principal component biplots applied to the raw and centered logratio (clr) transformed data arrays affects the interpretation and comprehension of the geological process of coalification.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Aitchison J (1986) The statistical analysis of compositional data. Methuen, New York, p 416

    Google Scholar 

  • Aitchison J (1997) The one-hour course in compositional data analysis or compositional data analysis is simple. In: Proceedings of IAMG ’97, the Third annual conference of the international association for mathematical geology. In: Pawlowsky-Glahn-Vera RA (ed) Proceedings of the annual conference of the international association for mathematical geology 3, 3–35

    Google Scholar 

  • Aitchison J (1999) Logratios and natural laws in compositional data analysis. Math Geol 31 (5): 563–580

    Article  Google Scholar 

  • Aitchison J (2003) The statistical analysis of compositional data, 2nd edn. Blackburn Press, Cardwell, NJ, p 416

    Google Scholar 

  • Aitchison J., Egozcue JJ (2005) Compositional data analysis: where are we and where should we be heading? Math Geol 37 (7): 829–850

    Article  Google Scholar 

  • ASTM (2001) Annual book of ASTM standards, section five: petroleum products, lubricants, and fossil fuels, vol 05.06, ASTM, West Conshohocken, PA, p 628

    Google Scholar 

  • Buccianti A, Mateu-Figueras G, Pawlowsky-Glahn V (2006) Compositional data analysis in the geosciences: from theory to practice. Geological Society, London, Special Publications, vol 264, p 212

    Google Scholar 

  • Cecil BC, Stanton RW, Allshouse SD, Finkelman RB (1978) Geologic controls on mineral matter in the Upper Freeport coal bed. In: Proceedings: symposium on coal cleaning to achieve energy and environmental coals, U.S. Environ Prot Agency, E.P.A. 60017-79-0998a, vol 1, pp. 110–125

    Google Scholar 

  • Cecil CB, Renton JJ, Stanton RW, Finkelman RB (1979) Mineral matter in coals of the central Applachian basin. Ninth International congress carboniferous stratigraphy and geology, Abstract paper, p 32

    Google Scholar 

  • Cecil BC, Stanton SG, Dulong FT (1981) Geology of contaminants in coal: Phase I report of investigations to the U.S. environmental protection agency, U.S. Geol. Surv. Open-file Rep. 81-953-A, 92p

    Google Scholar 

  • Cecil BC, Stanton RW, Neuzil SG, Dulong FT, Ruppert LF, Pierce BS (1985) Paleoclimate controls on Late Paleozoic sedimentation and peat formation in the Central Applalacian basins (U.S.A.). Int J Coal Geol 5: 195–230

    Article  Google Scholar 

  • Chayes F (1949) On ratio correlation in petrography. J Geol 57 (3): 239–354

    Article  Google Scholar 

  • Chayes F (1971) Ratio correlation, The University of Chicago Press, Chicago, IL, 99p.

    Google Scholar 

  • Egozcue JJ, Pawlowsky-Glahn V, Mateu-Figueras G, Barceló-Vidal C (2003) Isometric logratio transformations for compositional data analysis. Math Geol 35 (3): 279–300

    Article  Google Scholar 

  • Gabriel KR (1971) The bi-plot graphic display of matrices with application to principal component analysis. Biometrika 58 (3): 453–467

    Article  Google Scholar 

  • Kolker A, Senior CL, Quick JC (2006) Mercury in coal and the impact of coal quality on mercury emissions from combustion systems. Appl Geochem 21 (11): 1821–1836

    Article  Google Scholar 

  • Miesch AT (1969) The constant sum problem in geochemistry. In Merriam DF (ed) Computer applications in the earth sciences, Plenum Press, New York, pp. 161–176

    Google Scholar 

  • Northern and Central Appalachian Basin Coal Regions Assessment Team (2001) 2000. Resource assessment of selected coal beds and zones in the Northern and Central Appalachian Basin Coal regions, Professional Paper 1625-C Discs 1 and 2, version 1.0

    Google Scholar 

  • Pawlowsky V, Ecozcue JJ (2006) Compositional data and their analysis. In: Buccianti A, Mateu-Figueras G, Pawlowsky V (ed) Compositional data analysis in the geosciences, from theory to practice.Geological Society of London, Special Publication, vol 264, pp. 1–9, 212

    Google Scholar 

  • Pearson K (1897) Mathematical contributions to the theory of evolution: on a form of spurious correlation which may arise when indices are used in the measurement of organs. Proceedings of the Royal Society 60: 489–498

    Google Scholar 

  • Rollinson HR (1993) Using geochemical data: evaluation, presentation, interpretation, Longman Scientific & Technical, Harrow, England, p 352

    Google Scholar 

  • Schweinfurth SP (2002) Coal-a complex natural resource; U.S. Geological Survey Circular 1143, p 39

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Drew, L.J., Grunsky, E.C., Schuenemeyer, J.H. (2008). Investigation of the Structure of Geological Process Through Multivariate Statistical Analysis—The Creation of a Coal. In: Bonham-Carter, G., Cheng, Q. (eds) Progress in Geomathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69496-0_5

Download citation

Publish with us

Policies and ethics