ASTM D5923-96(2004)
(Guide)Standard Guide for Selection of Kriging Methods in Geostatistical Site Investigations
Standard Guide for Selection of Kriging Methods in Geostatistical Site Investigations
SIGNIFICANCE AND USE
This guide is intended to encourage consistency and thoroughness in the application of kriging methods to environmental, geotechnical, and hydrogeological site investigations.
This guide may be used to assist those performing a kriging study or as an explanation of procedures for qualified nonparticipants that may be reviewing or auditing the study.
This guide encourages the use of site-specific information for the selection of an appropriate kriging method; however, the quality of data, the sampling density, and site coverage cannot be improved or compensated by any choice of kriging method.
This guide describes conditions for which kriging or particular kriging methods are recommended. However, these methods are not necessarily inappropriate if the stated conditions are not encountered.
This guide should be used in conjunction with Guides D 5549, D 5922, and D 5924.
SCOPE
1.1 This guide covers recommendations for selecting appropriate kriging methods based on study objectives, exploratory data analysis, and analysis of spatial variation.
1.2 This guide considers commonly used forms of kriging including ordinary kriging, simple kriging, lognormal kriging, universal kriging, and indicator kriging. Multivariate, space-time and other less-frequently used kriging methods are not discussed; however, this is not intended to reflect any judgement as to the validity of these methods.
1.3 This guide describes conditions for which kriging methods are not appropriate and for which geostatistical simulations approaches should be used.
1.4 This guide does not discuss non-geostatistical alternatives to kriging such as splines or inverse-distance techniques.
1.5 This guide does not discuss the basic principles of kriging. Introductions to geostatistics and kriging may be found in numerous texts including Refs (1), (2), and (3). A review of kriging methods is given in (4).
1.6 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety and health practices and determine the applicability of regulatory limitations prior to use.
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Designation:D5923–96 (Reapproved 2004)
Standard Guide for
Selection of Kriging Methods in Geostatistical Site
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Investigations
This standard is issued under the fixed designation D5923; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A
superscript epsilon (´) indicates an editorial change since the last revision or reapproval.
INTRODUCTION
Geostatistics is a framework for data analysis, estimation, and simulation in media whose
measurable attributes show erratic spatial variability yet also possess a degree of spatial continuity
imparted by the natural and anthropogenic processes operating therein. The soil, rock, and contained
fluids encountered in environmental or geotechnical site investigations present such features, and their
sampled attributes are therefore amenable to geostatistical treatment. Kriging methods are geostatis-
tical techniques for spatial estimation belonging to the class of least-squares estimators. This guide
reviews criteria for selecting a kriging method, offering direction based on a consensus of views
without recommending a standard practice to follow in all cases.
1. Scope priate safety and health practices and determine the applica-
bility of regulatory limitations prior to use.
1.1 This guide covers recommendations for selecting appro-
1.7 This guide offers an organized collection of information
priate kriging methods based on study objectives, exploratory
or a series of options and does not recommend a specific
data analysis, and analysis of spatial variation.
course of action. This document cannot replace education or
1.2 This guide considers commonly used forms of kriging,
experience and should be used in conjunction with professional
including ordinary kriging, simple kriging, lognormal kriging,
judgment. Not all aspects of this guide may be applicable in all
universal kriging, and indicator kriging. Multivariate, space-
circumstances. This ASTM standard is not intended to repre-
time, and other less-frequently used kriging methods are not
sent or replace the standard of care by which the adequacy of
discussed; however, this is not intended to reflect any judge-
a given professional service must be judged, nor should this
ment as to the validity of these methods.
document be applied without consideration of a project’s many
1.3 This guide describes conditions for which kriging meth-
unique aspects. The word “Standard” in the title of this
odsarenotappropriateandforwhichgeostatisticalsimulations
document means only that the document has been approved
approaches should be used.
through the ASTM consensus process.
1.4 This guide does not discuss non-geostatistical alterna-
tives to kriging, such as splines or inverse-distance techniques.
2. Referenced Documents
1.5 This guide does not discuss the basic principles of
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2.1 ASTM Standards:
kriging. Introductions to geostatistics and kriging may be
2 D653 Terminology Relating to Soil, Rock, and Contained
found in numerous texts including Refs (1-3). A review of
4
Fluids
kriging methods is given in Ref. (4).
D5549 Guide for The Contents of Geostatistical Site Inves-
1.6 This standard does not purport to address all of the
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tigation Report
safety concerns, if any, associated with its use. It is the
D5922 Guide forAnalysis of Spatial Variation in Geostatis-
responsibility of the user of this standard to establish appro-
tical Site Investigations
1
This guide is under the jurisdiction ofASTM Committee D18 on Soil and Rock
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and is the direct responsibility of Subcommittee D18.01 on Surface and Subsurface For referenced ASTM standards, visit the ASTM website, www.astm.org, or
Characterization. contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM
Current edition approved July 1, 2004. Published August 2004. Originally Standards volume information, refer to the standard’s Document Summary page on
´1
approved in 1996. Last previous edition approved in 1996 as D5923 - 96 . DOI: the ASTM website.
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10.1520/D5923-96R04. Withdrawn.
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The boldface numbers in parentheses refer to a list of references at the end of Withdrawn. The last approved version of this historical standard is referenced
the text. on www.astm.org.
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959, United States.
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D5923–96 (2004)
D5924 Guide for Selection of Simulation Approaches in 3.1.18 simulation, n—in geostatistics, a Monte-Carlo pro-
Geostatistical Site Investigations cedureforgeneratingrealizationsoffieldsbasedontherandom
function model chosen to represent a regionalized variable. In
3. Terminology addition to honoring a r
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