Doctoral Dissertations
Abstract
"The clamped cubic spline method for graphing particle size distributions involves fitting a clamped cubic spline to cumulative data, resulting in a continuous and smooth cumulative distribution curve (CDC) that honors the cumulative data. The ends of the CDC are clamped at zero slope. The CDC is easily differentiated, yielding a continuous and smooth probability density curve (PDC).
Under conditions encountered typically in practical particle size analysis, clamped cubic spline method curves (1) provide detailed textural fingerprints that are easy to compare visually, (2) are not affected by random error, (3) allow accurate estimations of principal mode and median, (4) permit very accurate determinations of moment mean and moment standard deviation, (5) resolve accurately the polymodes of mixture distributions, and (6) facilitate determination of the number of component subpopulations in mixture distributions and their basis parameters.
Based largely on application of the clamped cubic spline method to the Exeter Sandstone and Sheep Pen Sandstone in the Dry Cimarron Valley of northeastern New Mexico, it is proposed that the approximate lower one-half of the Exeter type section correlates with the Sheep Pen. This correlation reveals an angular unconformity at the base of the Sheep Pen. The Exeter, as redefined, is coarser grained and much better sorted than the Sheep Pen"--Abstract, page iii.
Advisor(s)
Grant, S. Kerry
Laudon, Robert C.
Committee Member(s)
Anderson, Neil L. (Neil Lennart), 1954-
Bolter, Ernst
Hagni, Richard D.
Rockaway, John D.
Department(s)
Geosciences and Geological and Petroleum Engineering
Degree Name
Ph. D. in Geology and Geophysics
Publisher
University of Missouri--Rolla
Publication Date
Spring 1996
Pagination
xxix, 385 pages
Note about bibliography
Includes bibliographical references (pages 378-384).
Geographic Coverage
New Mexico
Rights
© 1996 Patrick Searle Mulvany, All rights reserved.
Document Type
Dissertation - Restricted Access
File Type
text
Language
English
Thesis Number
T 7114
Print OCLC #
35751458
Electronic OCLC #
1030960511
Recommended Citation
Mulvany, Patrick Searle, "Clamped cubic spline graphing of particle size distributions with application to Exeter and Sheep Pen Sandstones in northeastern New Mexico" (1996). Doctoral Dissertations. 1122.
https://scholarsmine.mst.edu/doctoral_dissertations/1122
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