Masters Theses
Abstract
"A computer program is presented which estimates the trend in a rectangular array of gravity measurements. It is assumed that the regional trend of gravity may be estimated by a low-order polynomial. The method of least-squares is applied to solve for the low-order polynomial which best approximates this trend. Gram orthogonal polynomials are used in the solution of this least-squares surface fit. The program is tested on a known polynomial and on some hypothetical Bouguer gravity data and found to approximate the ʺregional trend of gravity in these cases. The importance of eliminating any significant noise in the observations before solving for the polynomial estimate of the trend is emphasized. It is also noted that the residuals need not be normally distributed with a zero mean in order to produce a reasonable approximation to the true residual Bouguer gravity map"--Abstract, page [ii].
Advisor(s)
Zenor, Hughes M., 1908-2001
Committee Member(s)
Spokes, Ernest M., 1916-1995
Rechtien, Richard Douglas
Department(s)
Geosciences and Geological and Petroleum Engineering
Degree Name
M.S. in Geophysical Engineering
Publisher
University of Missouri at Rolla
Publication Date
1967
Pagination
vi, 60 pages
Note about bibliography
Includes bibliographical references (pages 48-50).
Rights
© 1967 Stanley D. Thompson, All rights reserved.
Document Type
Thesis - Open Access
File Type
text
Language
English
Subject Headings
Gravity -- MeasurementGravity anomaliesLeast squares -- Computer programs
Thesis Number
T 2074
Print OCLC #
5994731
Electronic OCLC #
802261781
Recommended Citation
Thompson, Stanley Dean, "Estimation of regional trends in gravity using gram orthogonal polynomials" (1967). Masters Theses. 5215.
https://scholarsmine.mst.edu/masters_theses/5215