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Vector Analysis of Heavy-Mineral Data

1964; Geological Society of America; Volume: 75; Issue: 11 Linguagem: Inglês

10.1130/0016-7606(1964)75[1131

1943-2674

John Imbrie, Tjeerd H. van Andel,

Reservoir Engineering and Simulation Methods

Research Article| November 01, 1964 Vector Analysis of Heavy-Mineral Data JOHN IMBRIE; JOHN IMBRIE Dept. Geology, Columbia University, New York, N. Y Search for other works by this author on: GSW Google Scholar TJEERD H VAN ANDEL TJEERD H VAN ANDEL Scripps Institution of Oceanography, University of California, La Jolla, Calif Search for other works by this author on: GSW Google Scholar Author and Article Information JOHN IMBRIE Dept. Geology, Columbia University, New York, N. Y TJEERD H VAN ANDEL Scripps Institution of Oceanography, University of California, La Jolla, Calif Publisher: Geological Society of America Received: 27 Apr 1964 First Online: 02 Mar 2017 Online ISSN: 1943-2674 Print ISSN: 0016-7606 Copyright © 1964, The Geological Society of America, Inc. Copyright is not claimed on any material prepared by U.S. government employees within the scope of their employment. GSA Bulletin (1964) 75 (11): 1131–1156. https://doi.org/10.1130/0016-7606(1964)75[1131:VAOHD]2.0.CO;2 Article history Received: 27 Apr 1964 First Online: 02 Mar 2017 Cite View This Citation Add to Citation Manager Share Icon Share Facebook Twitter LinkedIn Email Permissions Search Site Citation JOHN IMBRIE, TJEERD H VAN ANDEL; Vector Analysis of Heavy-Mineral Data. GSA Bulletin 1964;; 75 (11): 1131–1156. doi: https://doi.org/10.1130/0016-7606(1964)75[1131:VAOHD]2.0.CO;2 Download citation file: Ris (Zotero) Refmanager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Search Dropdown Menu toolbar search search input Search input auto suggest filter your search All ContentBy SocietyGSA Bulletin Search Advanced Search Abstract In sedimentary petrology data are often in the form of measurements of several variables on numerous samples. If the set of data is large and the underlying causal structure obscure, factor and vector analysis can be an important aid in revealing simple patterns in complex information. Mathematically, these approaches treat each variable or each sample as a vector and resolve it into a small number of component vectors. Vectors may represent variables (R-mode) or samples (Q-mode). Factor analysis resolves vectors of raw data into theoretical vectors; vector analysis resolves them into selected data vectors that represent actually observed, compositionally extreme end-member samples (Q-mode) or into variables characterized by the maximum observed linear independence (R-mode). The method has been programmed for various large, high-speed computers. Usefulness of the approach is demonstrated by application to two case histories: heavy mineral provenance studies of Recent sediments in the Gulf of California, and on the Orinoco-Guayana Shelf. Q-mode analysis of these case histories represents quite different but reasonably common situations. In the Gulf of California, most mineral assemblages are derived from nearby, petrographically simple sources and are dominated by only a few minerals. Mixing during transportation is minor, and the system can easily be defined in terms of a few mineralogically distinct end members. Vector analysis of this system yields results similar to those obtained by conventional inspection of the raw data, although more significant detail is revealed and end members are objectively and re-producibly defined. The Orinoco-Guayana Shelf, on the other hand, possesses remote and petrographically complex sources, and mixing of assemblages during long-distance transportation is common. All mineral assemblages are complex and variable and only quantitatively different. Obvious end members are lacking. Vector analysis yields a mineral distribution pattern greatly different from that obtained by inspection of the raw data. The vector pattern appears to be the more meaningful one when interpreted in terms of zones of littoral transportation moving landward during the post-Pleistocene rise of sea level. This content is PDF only. Please click on the PDF icon to access. First Page Preview Close Modal You do not have access to this content, please speak to your institutional administrator if you feel you should have access.