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Abstract
Chapter from: CA
3: Stochastic Modeling and Geostatistics
Edited by
Jeffrey M. Yarus and Richard L. ChambersAuthor:
Ricardo A. Olea Methodology and Concepts
Published 1994 as
part of Computer Applications 3
Copyright © 1994 The American Association of Petroleum
Geologists. All Rights Reserved. |
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Chapter 4
*
Fundamentals
of Semivariogram
Estimation, Modeling,
and Usage
Ricardo A. Olea
Kansas Geological Survey
Lawrence, Kansas, U.S.A.
*
ABSTRACT
The semivariogram is a measure
of the rate of change with distance for attributes that vary in space.
Semivariogram analysis is helpful in comparing such attributes and in designing
their adequate sampling. In addition, the semivariogram is required in
almost any geostatistical procedure for prediction away from control points.
Correct semivariogram estimation requires
a thorough assessment of the sampling, variations in the mean, or geometry
of the volume that may be associated to a measurement, and a sensitivity
analysis of the semivariogram to variations in the azimuth. In the simplest
case, the semivariogram is a scalar function of lag. Depending on the application,
one may need to estimate the parameters for linear combinations of admissible
semivariogram models, which is customarily done as a curve fitting to a
tabulation by lag of estimated semivariogram values.
Numerical examples illustrate every stage
in estimating and modeling a semivariogram. |
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