"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].
Zenor, Hughes M., 1908-2001
Spokes, Ernest M., 1916-1995
Rechtien, Richard Douglas
Geosciences and Geological and Petroleum Engineering
M.S. in Geophysical Engineering
University of Missouri at Rolla
vi, 60 pages
© 1967 Stanley D. Thompson, All rights reserved.
Thesis - Open Access
Gravity -- Measurement
Least squares -- Computer programs
Print OCLC #
Electronic OCLC #
Link to Catalog Record
Thompson, Stanley Dean, "Estimation of regional trends in gravity using gram orthogonal polynomials" (1967). Masters Theses. 5215.