Table Of ContentGEOSTATISTICS
QUANTITATIVE GEOLOGY AND GEOSTATISTICS
Series Editor:
F. M. GRADSTEIN
Atlantic Geoscience Centre,
Bedford Institute of Oceanography,
Dartmouth, N.S., Canada
The titles published in this series are listed at the end of this volume.
GEOSTATISTICS
Proceedings of the Third International Geostatistics Congress,
September 5-9, 1988, Avignon, France
Edited by
M. ARMSTRONG
Centre de Geostatistique.
Ecole Nationale Superieure des Mines de Paris,
Fontainebleau, France
SPRINGER SCIENCE+BUSINESS MEDIA, B.V.
Library of Congress Cataloging in Publication Data
International Geostatistics Congress t3rd : 1988 : Avignon, Francel
Geostatistics : proceedings of the Third International
Geostatlstics Congress, September 5-9, 1986, Avlgnon, France
edited by M. Armstrong.
p. em. -- !Quantitative geology and geostatisticsl
Includes index.
ISBN 978-94-015-6846-3 ISBN 978-94-015-6844-9 (eBook)
DOI 10.1007/978-94-015-6844-9
1. Mine valuation--Statistical methods--Congresses. 2. Geology-
-Statistical methods--Congresses. I. Ar~strong, M., 1950-
II. Title. III. Series: Quantitative geology and geostatlsttcs
CKluwer Academic Publishers>
TN272. I57 1988
622' .1--dc19 89-2433
ISBN 978-94-015-6846-3
primed on acidfi·ee paper
All Rights Reserved
© 1989 by Springer Science+Business Media Dordrecht
Originally published by Kluwer Academic Publishers in 1989
Softcover reprint of the hardcover 1st edition 1989
No part of the material protected by this copyright notice may be reproduced or
utilized in any form or by any means, electronic or mechanical
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TABLE OF CONTElfTS
FOREWORD XV
ACKNOWLEDGEMENTS xvii
LIST OF PARTICIPANTS xix
PLENARY SESSIQNS
KRIGE D.G., GUARASCIO M. and CAMISANI-CALZOLARI F.A.
Early South African qeostatistical techniques in today's
perspective . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
MATHERON G.
The internal consistency of models in qeostatistics............ 21
MONESTIEZ P., HABIB R. and AUDERGON J.M.
Estimation de la covariance et du varioqramme pour une fonction
aleatoire a support arborescent : application a l'etude des
arbres fruitiers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
CHILES J.P.
Modelisation qeostatistique de reseaux de fractures............ 57
BRUNO R. and RASPA G.
Geostatistical characterization of fractal models of
surfaces 17
RIVOIRARD J.
Models with orthoqonal indicator residuals..................... 91
OMRE H., HALVORSEN K.B. and BERTEIG V.
A Bayesian approach to kriqinq ................................. 109
THEQRY I
SWITZER P.
Non-stationary spatial covariances estimated from monitorinq
data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127
CHAUVET P.
a
Quelques aspects de l'analyse structurale des FAI-k
1 dimension.................................................... 139
vi TABLE OF CONTENTS
DOWD P.A.
Generalised cross-covariances ................................... 151
CRESSIE N.
The many faces of spatial prediction ..••......•......••.•.•..•. 163
OBLED C. & BRAUD I.
Analogies entre geostatistique et analyse en composantes
principales de processus ou analyse EOFs...................... 177
THEORY II
JEULIN D.
Sequential random functions models............................ 189
CHAUTRU J.M.
The use of Boolean random functions in geostatistics •.••.••.... 201
SOARES A.O.
Use of a mathematical morphology tool in characterizing
covariance& of indicator data.................................. 213
ALLISON H.J.
Regularization in geostatistics and in ill-posed inversed
problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . • . . • . • . . • . . . • • . . . . . . 225
DONG A.
Kriging variables that satisfy the partial differential
equation AZ = Y • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • 237
THEQRY III
CALLE E.O.F. and VAN HETEREN J.
Statistical inference of trend and covariance of a random field
with nonstationary mean and stationary covariance properties 249
BOULANGER F.
Geostatistique et processus autoregressifs : une nouvelle
methode de aodelisation....................................... 259
STEIN M.L.
The loss of efficiency in kriging prediction caused by
misspecifications of the covariance structure ........•.•...•..• 273
MYERS D.E.
Vector conditional simulation.................................. 283
SRIVASTAVA R.M. and PARKER H.M.
Robust measures of spatial continuity 295
TABLE OF CONTENTS vii
THEORY IV
MATHERON G.
Two classes of isofactorial models ....................... .... 309
LAJAUNIE C. and LANTUEJOUL C.
Setting up the general methodology for discrete isofactorial
models......................................................... 323
HU L.Y.
Comparing gamma isofactorial disjunctive kriging and indicator
kriging for estimating local spatial distributions ............ 335
KLEINGELD W.J. and OOSTERVELD M.M.
Researching local reserve estimates for a sporadic, discrete
particles deposit.............................................. 347
PUENTE C.E.
Practical use of disjunctive kriging: effects of two
dimensional parameterizations................. . . . . . . . . . . . . . . . . . 359
SOIL SCIENCE
LEENAERS H., OKX J.P. and BURROUGH P.A
Co-kriging: an accurate and inexpensive means of mapping
floodplain soil pollution by using elevation data ............. 371
OLIVER M.A. and WEBSTER R.
Geostatistically constrained multivariate classification ....... 383
GOULARU M.
Inference in a coregionalization model ......................... 397
WACKERNAGEL H., PETITGAS P. and TOUFFAIT Y.
Overview of methods for co-regionalization analysis ............ 409
WEBSTER R. and OLIVER M.A.
Disjunctive kriging in agriculture ............................. 421
OCEANOGRAPHY
GOHIN F.
Analyse structurale de la temperature de surface de lamer ..... 433
MUGE F.H. and CABECADAS G.
A geostatistical approach to eutrophication modelling .......... 445
viii TABLE OF CONTENTS
PEREIRA H.G. and SOARES A.O.
Application of qeostatistics to qroundfish survey data ......... 459
YOUNG D.S.
Geostatistics coupled with physics model for ELF signal
strenqth analysis. . . . . . . . . . . . . . . . . . . . . . . • . • . . . . . . . . . . . . . . . • . . . . . 469
SEGURET S.A.
Filtering periodic noise by using trigonometric kriging ..•...•.. 481
TABLE OF CONTENTS ix
VOLUME 2
PETROL I
DUBRULE 0.
A review of stochastic models for petroleum reservoirs .......... 493
REMACRE A.Z., FERREIRA A.A. and SOUZA JR O.G.,
Spatial distribution of erratic shales using conditional
simulation. . . . . . . . . . . . . . . . . . . . . . . . . • . . • . . . • . . . . . . . . . . . . . . . . . . . . 507
De FOUQUET C., BEUCHER H., GALLI A. and RAVENNE C.
Conditional simulation of random sets. Application to an
argilaceous sandstone reservoir ......•......................... 517
IKONOMI A.
Determination de la geometrie d'un gisement monoclinal
petrolier...................................................... 531
PEREIRA H.G., COSTAe SILVA A., RIBEIRO L. and GUERREIRO L.
Estimation of reserves at different phases in the history
of an oil field................................................ 543
PETRQL II
LE LOC'H G.
An efficient strategy for combining the permeabilities :
Practical application on a simulated reservoir ................. 557
HASLETT J.
Geostatistical neighbourhoods and subset selection............ 569
RENARD D.
Automatic structure recognition ................................ 579
BARDOSSY A., BARDOSSY Gy. and BOGARD! I.
Application of geological information to kriging ............... 591
LANGLAIS V.
On the neighborhood search procedure to be used when kriging
with constraints............................................... 603
