Table Of ContentQuantitative Geology and Geostatistics
VOLUMES
SeriesEditor:
F. M. GRADSTEIN
AtlanticGeoscienceCentre.
BedfordInstituteofOceanography,
Dartmouth, N.s., Canada
GEOSTATISTICSTROIA '92
Volume 1
GEOSTATISTICS
'"
TROIA '92
Volume 1
Editedby
AMILCAR SOARES
Celltrode ValarizacaodeRecursosMillerais,
IllstitutoSuperiorTecllico,
Lisbon, Portugal
Kluwer Academic Publishers
Dordrecht / Boston / London
LibraryofCongressCataloging-in-PublicationData
Geostatistics Troia '92 / edited by Amilcar Soares.
p. em. -- (Quantitative geology and geostatistics v. 5)
"[Papers from] the Fourth Congress Troia ·92"--Foreword.
Includes index.
ISBN 0-7923-2157-X (set acid-free). -- ISBN 0-7923-2155-3 (v. 1
acid-free). -- ISBN 0-7923-2156-1 (v. 2 acid-free)
1. Geology--Statistical methods--Congresses. 2. Petroleum-
-Geology--Statistical methods--Congresses. I. Soares. Amilcar.
II. Series.
QE33.2.S82G46 1993
550' .72--dc20 92-46924
ISBN0-7923-2155-3 (vol. I)
ISBN0-7923-2156-1 (vol.2)
ISBN0-7923-2157-X(set)
PublishedbyKluwerAcademicPublishers,
P.O.Box 17,3300AADordrecht,TheNetherlands.
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TABLE OF CONTENTS
Foreword Xlll
Acknowledgements xv
List of Participants XVII
THEORY
"Fonnatling and IntegraTing Soft DaTa: STOchasTic Imaging Via
the Markov-Bayes Algorithm", Hua Zhu and Andre
Journel. 1
"Comparison ofDisjunctive Kriging to Generalized Probability
Kriging inApplication to The EstimaTion ofSimulaTed and
Real Data", James Carr and Nai-Hsien Mao. ..... . . . . .. 13
"Aggregation in GeosTaTisTical Problems", Noel Cressie. . 25
"Substitution Random Functions", Christian Lantuejoui. ...... 37
"Towards a Direct Structural Analysis of an IRF-k", Roberto
Bruno and Giuseppe Raspa. 49
"Filtering Non-Linear FuncTions", Colin Daly 61
"ProbabiliTY Field SimulaTion", Roland Froidevaux. . . . . . . . . . . . . . . 73
"Joint Sequential SimulaTion of MultiGaussian Fields", Jaime
Gomez-Hernandez and Andre Journel. 85
"Geostatistical Modelling ofaSingle Fracture",Jean-Paul Chiles
and Sylvie Gentier. 95
"Using the Entropy StaTiSTic TO Infer Population Parametersfrom
SpaTially Clustered Sampling", Neil Schofield. . . . . . . . . . . .. 109
"Biased Kriging on the Sphere?", Burkhard Schaffrin. 121
"MulTivariate GeosTaTisTics: Beyond Bivariate Momenrs", Felipe
Guardiano and Mohan Srivastava. 133
V
vi
"ParameTric Surface ESTimaTion", E.Yfantis, G.Flatman and
F.Miller. 145
"How Large a Sample Is Needed to ESTimate The Regional
Variogram AdequaTely?", R. Webster and M.Oliver. . 155
"Depth. Dip and Gradient", D.Renard and P.Ruffo. 167
"Simulation of Random FuncTions on Large Larrices", Henning
Omre, Knut S,slna and HAkon Tjelmeland. 179
"CondiTioning a Gaussian Model with Inequalities", Xavier
Freulon and Chantal de Fouquet. . . . . . . . . . . . . . 201
"GeosraTistics: Roadblocks and Challenges", Andre Journel. 213
"Random FuncTions and Fracture StaTisTics Models", Dominique
Jeulin 225
"SpaTial FilTering Under The Linear CoregionalizaTion Model",
Gilles Bourgault and Denis Marcotte. 237
"GraviTy Dara Transformation by Kriging", Denis Marcotte and
Michel Chouteau. . . . . . . . . . . . . . . . . . . . . . . 249
"The Spatial VariabiliTy ofPrediction Errors", Paul Switzer. 261
"RelaTions Between the IndicaTOrs Related to a Regionalized
Variable", Jacques Rivoirard. . . . . . . . . . . . . . . . . . . . . .. 273
PETROLEUM
"Gerring Berrer Qualiry Seismic SecTions", Z.Zhang and A. Galli. . . .. 285
"Comparison ofSeveral Merhods ofLithofacies Simulation on the
Fluvial Gypsy SandsTone ofOklahoma", Valerie Langlais
and James Doyle. 299
"GeomathemaTical Modelling of a Turbiditic Reservoir in
S.E.Hungary", J.Geiger and V.Werowsky.. 311
vii
"Col1srraining Srochasric Images ro Seismic Dara", Louis-Jerome Bortoli,
Francois Alabert, Andre Haas and Andre Joumel. . . . . . 325
"A New Approach for Pemleabiliry Classes Simularion in
Undersampled OilReservoirs",A. CostaeSilva, H.Garcia
Pereira, A.Soares, J.Almeida and A. Guterres. 339
"Inrroducing More Geology in Srochastic Reservoir Modelling",
Olivier Dubrule. 351
"An Inregrared Approach ro Reservoir Srudies Using Srochasric
Simulation Techniques", Alberto Almeida, Thomas Tran
and Paulo Ballin. 371
"Bayesian Krigingfor SeismicDepth Conversion ofaMulri-Layer
Reservoir", Petter Abrahamsen. 385
"Indicaror Simularion of Petrophysical Rock Types",Christopher
Murray 399
"Sequenrial Modelling of Relarive lndicaror Variables: Dealing
wirh Mulriple Lirhology Types", Roussos Dimitrakopoulos
and Michel Dagbert. 413
"Combining Fibre Processes andGaussian Random Functionsfor
Modelling Fluvial Reservoirs", Frode Georgsen and
Henning Omre. 425
"IndicatorPrincipalComponenr Kriging: TheMultivariate Case",
Vinicio Suro-perez. 441
"Modelling Reservoir Heterogeneiry wirh Fracrals", Thomas
Hewett. 455
"On rhe Connecriviry ofTwo Random Ser Models: The Truncated
Gaussian and the Boolean", Denis Allard and Heresim
Group 467
"Semi-Markov Random Fields", HAkon Tjelmeland and Lars
Holden 479
"A Sensiriviry Analysis of Geosrarisrical Paramerers on Oil
Recovery Predicrions", Udo Araktingi. 493
viii
"CondiTioning Resen'oir Models Well TeST InfonnaTion",
TO
Clayton Deutsch. 505
"Reser....oir Characlerizalion Wilh Seismic Dara using Pattern
Recognilion and SpaTial SraTislics", Suresh Thadani. . , 519
"Sequenrial Gaussian Co-SimulaTion: A Simularioll Method
Inregraling Several rypes ofInjomwTion", George Verly..... , 543
"Including a Regional Trend in Reservoir Modelling using The
TruncaTed Gaussian MeThod", H. Beucher, A. Galli, G.
Le Loc'h and C. Ravenne. . . . . . . . . . . . . . . . . . . . . . . .. 555
OTHER APPLICAnONS
ENvmONMENT
"Analysis ofQuasi-Periodic Time Series!Jy a Geosratistical Method
with Application to Climarology", H.Allison and
G.B.Davis. 567
"Kriging Temperature in Scarland Using the External Drift
MeThod", Gordon Hudson. . . . . . . . . . . . . . . . . . . . . . . .. 577
"ClimaTological Idenrijicarion of rhe Non-Srationariries of
Inrermitrenr Precipirarion Fields", I.Braud, Ph. Crochet and
J.D.Creutin. . 589
"Forecasring Gypsy Morh Defoliarion with Indicator Kriging",
Michael Hohn, Linda Gribko and Andrew Liebhold. 601
"CondiTional Simulation: PracTical Application for Sampling
Design OpTimization", Evan Englund and Naser Heravi. . . . . .. 613
"PredicTing Probabiliry Maps ofAir PollUTion ConcentraTion: A
Case Study on Barreiro/Seual Industrial Area" Amilcar
I
Soares, Joao Tavora, Luisa Pinheiro, Cristina Freitas and
Jose Almeida.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 625
"Modelling of Map ImpuriTies Using Sequential IndicaTor
Simularion", Marc Bierkens and Peter Burrough. . . . . . . . . . .. 637
ix
"Paniculate Slack Emissions from Coal Fired Power Stations",
LClark and MJ.Daly 649
"Kriging the Rainfall in Lesotho", M.Annstrong, G.Chetboun and
P.Huben " 661
"Probability Kriging as a Decision Suppon Toolfor Local Soil
Pollution Problems", J.P.Okx, H.Leenaers and
R.M.Krzanowski. 673
"Non Linear Approach to the Marine Inrrusion Process
Modelling", J. Delgado-Garcia and M.Chica-Olmo " 685
HYDROLOGY
"Evaluating the 'Uncenainry ofLeakage Rates ofTejo and Sado
Groundwater System", Luis Ribeiro. . " . " 695
"Geostatistics to AssisT Hydrographic Survey Design",
Michel Dagbert, Peter Kielland, Manon L'Esperance
and Andrew Cowan. . . . . . . . . . . . . . . . . . . . . . . . . . . .. 709
"EstimationofSpatialCross-CovariancesbyMaximum Likelihood
Cross-Covalidation: ApplicaTion to Hydraulic Heads and
Transmissiviries in a Sandy Aquifer", J.Samper,
J.C.Cuchi and R.Poncela. . . . . . . . . . . . . . . . . . . . . . . . .. 721
"Spatial Structure ofHydraulic Conductivity in Various
Porous Media -Problems and Experiences",
M.-Th.Schafmeisterand A.Pekdeger. . . . . . . . . . . . . . . . . .. 733
"STUdy ofSpatial and Temporal Variations ofHydrogeochemical
Variables Using Factorial Kriging Analysis", P.
Goovaensand Ph.Sonnet. . . . . . . . . . . . . . . . . . . . . . . . . . 745
"Channel Tunnel: Geostatistical Prediction facinR the Ordeal of
Reality", Raymonde Blanchin and Jean-PaulChiles. . . . . . . . .. 757
"Regularization of Hydraulic Conductivities: A Numerical
Approach", Jaime Gomez-Hernandez. . . . . . . . . . . . . . . . .. 767
"Geostatistical Formulations of Groundwater Coupled Inverse
Problems", J. Carrera,A. Medinaand X. Sanchez-Vila. 779
x
SOIL SCIENCES
"Multivariate GeOSlatislics for Soil Classification", Guiseppe Raspa,
Robeno Bruno, Paola Dosi, Nicola Filippi and Guiseppe Patrizio .. 793
"Geostatistical Interpolation of Curves: A Case Study in Soil
Science", M.Goulard and M.Voltz. . . . . . . . . . . . . . . . . . .. 80S
"Quantitative Swdy ofan Evolutionary Soil Sequence", Michel
Grzebyk. 817
"Classification of High Spectral Resolulion Imagery Using an
IndicaTOr Kriging Based Technique", Freek Van Der
Meer. 829
"Spalial Imerpolation of Soil Moisture Dala with Universal
Cokriging", A.Stein. 841
"Application ofCorrespondence Analysis and Factorial Kriging Analysis:
A Case Study on Geochemical Exploration", R. Jimenez-
Espinosa, A.J.Sousa and M.Chica-Olmo. 853
NATURAL RESOURCES
"Assessing Similarities and Differences among Maps: AStudy of
Temporal' Changes in Distribution of Nonhem Shrimp
(PANDALUS BORE4LIS) in the Gulf of Sl.Lawrence",
Yvan Simard and Denis Marcotte. 865
"Using GeostQtistics for Forest Inventory with Air Cover: An
Example", C.de Fouquet and D. MandaIlaz. . . . . . . . . . . . . .. 875
"GeosrQrisrical Estimation of Animal Abundance in the Kruger
Nalional Park, South Africa", Francois EshmaM Steffens. .... 887
HUMAN SCIENCES
"Estimating the Risk of Childhood Cancer" ,
M.Oliver, Ch.Lajaunie, R.Webster, K.Muir, and
J.Mann 899
Description:The contributions in this book were presented at the Fourth International Geostatistics Congress held in Tróia, Portugal, in September 1992. They provide a comprehensive account of the current state of the art of geostatistics, including recent theoretical developments and new applications. In part