IBM 709 PROGRAM FOR LEAST-SQUARES ANALYSIS OF THREE-DIMENSIONAL GEOLOGICAL AND GEOPHYSICAL OBSERVATIONS,

Abstract

An IBM 709 program is presented here that will fit least-squares polynomial surfaces up to degree three to observations distributed in three dimensions. These surfaces aid in presenting and analyzing three-dimensional variability in a set of observations by separating systematic large-scale variation from small-scale variability which includes sampling and measurement errors. The large-scale systematic variation can be used to develop or test geological models and to make quantitative estimates of the properties of geological bodies. This report on the program includes: (1) discussion of geological uses of the program, (2) an outline of the mathematics involved, (3) a FORTRAN listing of the program together with flow diagrams, and (4) a geological example which illustrates the program input, operation, and output, as well as some aspects involved in interpretation of the example. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1943
Accession Number
AD0420274

Entities

People

  • E. W. Peikert

Organizations

  • Northwestern University

Tags

DTIC Thesaurus Topics

  • Geometry
  • Mathematics
  • Measurement
  • Observation
  • Polynomials
  • Sampling
  • Sizes (Dimensions)
  • Three Dimensional

Fields of Study

  • Environmental science

Readers

  • Computer Vision.
  • Regression Analysis.
  • Technical Research and Report Writing.