Skip to main content
Log in

Analysis of petrologic hypotheses with Pearce element ratios

  • Published:
Contributions to Mineralogy and Petrology Aims and scope Submit manuscript

Abstract

Pearce element ratios can test whether the members of a rock suite are comagmatic and can illustrate the causes of chemical diversity in comagmatic suites. Comagmatic rocks have constant ratios for elements conserved in the system during changes that led to the chemical diversity. In basaltic systems, the incompatible elements, Ti, K, and P, are often conserved. The slope of the trend on a Pearce element ratio diagram is sensitive to the stoichiometry of the crystallizing and segregating phases. A judicious choice of ratios as axes for the diagram provides a signature for the phases involved and estimates of their compositions. In basaltic rocks, diagrams with Ti/K vs P/K can provide a test of the comagmatic hypothesis. Diagrams with 0.5 [Mg + Fe]/K vs Si/K have trends that are distinct for each comagmatic suite and different mineral assemblage. Different suites are distinguished by the intercepts in diagrams, whereas mineral assemblages are recognized by the slopes of the trends. For example, if olivine is the sole crystallizing and segregating phase, the trend will have a slope of 1. Diagrams with [2Ca + Na]/K vs Al/K distinguish plagioclase from augite assemblages and, in conjunction with 0.5 [Mg + Fe]/K diagrams, unravel the crystallization sequences of suites that have suffered three phase crystallization and segregation. Analyses from the Uwekahuna laccolith, Kilauea, the 1955 and 1967–68 eruptions of Kilauea, Diamond Craters Volcanic Field, Oregon, and experimental data on MORB glasses provide illustrations of the interpretations that can be obtained from Pearce element ratios.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Aitchison J (1981) A new approach to null correlations of proportions. J Math Geology 13:175–189

    Google Scholar 

  • Aitchison J (1984) The statistical analysis of geochemical compositions. J Math Geology 16:532–564

    Google Scholar 

  • Beswick AE (1982) Some geochemical aspects of alteration and genetic relations in komatiitic suites. In: Arndt NT, Nesbit EG (eds) Komatiites George Allen and Unwin, London pp 283–308

    Google Scholar 

  • Chayes F (1964) Variance-covariance relations in some published Harker diagrams of volcanic suites. J Petrol 5:219–237

    Google Scholar 

  • Chayes F (1971) Ratio Correlation: a Manual for Students of Petrology and Geochemistry. University Chicago Press, Chicago 99 p

    Google Scholar 

  • Ghiorso MS, Carmichael ISE (1985) Chemical mass transfer in magmatic processes II. Applications in equilibrium crystallization, fractionation and assimilation. Contrib Mineral Petrol 90:121–141

    Google Scholar 

  • Grove TL, Bryan WB (1983) Fractionation of pyroxene-phyric MORB at low pressure: an experimental study. Contrib Mineral Petrol 84:293–309

    Google Scholar 

  • Ho RA, Garcia MO (1987) Origin of differentiated lavas at Kilauea Volcano, Hawaii: Implications from the 1955 eruption. Hawaii Symposium on How Volcanoes Work. Hawaiian Volcano Observatory Abstracts V:111

    Google Scholar 

  • Jackson DB, Swanson DA, Koyanagi RY, Wright TL (1975) The August and October 1968 east rift eruptions of Kilauea Volcano, Hawaii. US Geol Surv Prof Pap 890:1–33

    Google Scholar 

  • Kilinc A, Carmichael ISE, Rivers ML, Sack RO (1983) The ferricferrous ratio of natural silicate liquids equilibrated in air. Contrib Mineral Petrol 83:136–140

    Google Scholar 

  • Murata KJ, Richter DH (1961) Magmatic differentiation in the Uwekahuna laccolith, Kilauea caldera, Hawaii. J Petrol 2:424–437

    Google Scholar 

  • Nicholls J, Russell JK, Stout MZ (1986) Testing magmatic hypotheses with thermodynamic modeling. In: Scarfe CM (ed) Short Course in Silicate Melts. Mineralogical Assoc Canada 12:210–235

  • Nicholls J (1988) The statistics of Pearce element diagrams and the Chayes closure problem. Contrib Mineral Petrol 98:11–24

    Google Scholar 

  • Nicholls J, Stout MZ (1988) Picritic melts in Kilaueaevidence from 1967–1968 Halemaumau and Hiiaka eruptions. J Petrology, in press

  • Pearce TH (1968) A contribution to the theory of variation diagrams. Contrib Mineral Petrol 19:142–157

    Google Scholar 

  • Pearce TH (1970) Chemical variations in the Palisades Sill. J Petrol 11:15–32

    Google Scholar 

  • Powers HA (1955) Composition and origin of basaltic magma of the Hawaiian Islands. Geochim Cosmochim Acta 7:77–107

    Article  Google Scholar 

  • Russell JK, Nicholls J (1985) Application of Duhem's Theorem to the estimation of extensive and intensive properties of basaltic magmas. Canadian Mineral 23:479–488

    Google Scholar 

  • Russell JK (1986) A FORTRAN77 computer program for the least squares analysis of chemical data in Pearce variation diagrams. Computers and Geosc 12:327–338

    Article  Google Scholar 

  • Russell JK, Nicholls J (1987) Early crystallization history of alkali olivine basalts, Diamond Craters, Oregon. Geochim et Cosmochim Acta 51:143–154

    Article  Google Scholar 

  • Skala W (1979) Some effects of the constant-sum problem in geochemistry. Chemical Geology 27:1–9

    Article  Google Scholar 

  • Syme EC, Forester RW (1977) Petrogenesis of the boundary intrusions in the Flin Flon area of Saskatchewan and Manitoba. Canadian J Earth Sci 14:444–455

    Google Scholar 

  • Tilley CE (1960) Differentiation of Hawaiian basalts: some variants in lava suites of dated Kilauean eruptions. J Petrol 1:47–55

    Google Scholar 

  • Wright TL, Fiske RS (1971) Origin of differentiated and hybrid lavas of Kilauea Volcano, Hawaii. J Petrol 12:1–65

    Google Scholar 

  • Wright TL, Swanson DA, Duffield WA (1975) Chemical compositions of Kilauea east-rift lava 1968–1971. J Petrol 16:110–133

    Google Scholar 

  • York D (1966) Least squares fitting of a straight line. Canadian J Physics 44:1079–1086

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Russell, J.K., Nicholls, J. Analysis of petrologic hypotheses with Pearce element ratios. Contr. Mineral. and Petrol. 99, 25–35 (1988). https://doi.org/10.1007/BF00399362

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00399362

Keywords

Navigation