Introduction to Geostatistics

Applications in Hydrogeology

Author: P. K. Kitanidis

Publisher: Cambridge University Press

ISBN: 9780521587471

Category: Science

Page: 249

View: 7773

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Introduction to Geostatistics presents practical techniques for engineers and applied geophysicists who routinely encounter interpolation and estimation problems when analyzing data from field observations. Requiring no background in statistics, and with a unique approach that synthesizes classic and geostatistical methods, this book presents linear estimation methods for practitioners and advanced students. Well illustrated with exercises and worked examples, taken from hydrogeology Introduction to Geostatistics is suitable for graduate-level courses in earth sciences and environmental engineering, and also for self-study.

Applied Geostatistics

Author: Edward H. Isaaks,R. Mohan Srivastava

Publisher: Oxford University Press, USA

ISBN: 9780195050134

Category: Mathematics

Page: 561

View: 9717

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"The book is so easy to follow that many readers may not even need formal instruction and may find it suitable for self-tutoring. I predict the volume will be a standard geostatistical reference for the decade." --Mathematical Geology

Introduction to Disjunctive Kriging and Non-linear Geostatistics

Author: Jacques Rivoirard

Publisher: Oxford University Press, USA

ISBN: N.A

Category: History

Page: 180

View: 4884

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Linear geostatistics is a fast developing field of research and its principles are extended over other fields of activity. Tools such as the variogram and kriging are now in everyday use for estimating the mean grade of material in an area from values achieved from measured samples. Non-linear geostatistics is at the fore-front of statistical development, it has a potential application over a wide range of practical problems and is likely to occupy an important place in the statutory monitoring and control of air, water, and land pollution. This book provides a comprehensive introduction to the field for geographers and engineers.

Multivariate Geostatistics

An Introduction with Applications

Author: Hans Wackernagel

Publisher: Springer Science & Business Media

ISBN: 3662035502

Category: Science

Page: 293

View: 4814

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An introduction to geostatistics stressing the multivariate aspects for scientists, engineers and statisticians. The book presents a brief review of statistical concepts, a detailed introduction to linear geostatistics, and an account of three basic methods of multivariate analysis. Applications from very different areas of science, as well as exercises with solutions, are provided to help convey the general ideas. In this second edition, the chapters regarding normal kriging and cokriging have been restructured and the section on non-stationary geostatistics has been entirely rewritten.

Solved Problems in Geostatistics

Author: Oy Leuangthong,K. Daniel Khan,Clayton V. Deutsch

Publisher: John Wiley & Sons

ISBN: 1118210514

Category: Mathematics

Page: 208

View: 3008

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This unique book presents a learn-by-doing introduction to geostatistics. Geostatistics provides the essential numerical tools for addressing research problems that are encountered in fields of study such as geology, engineering, and the earth sciences. Illustrating key methods through both theoretical and practical exercises, Solved Problems in Geostatistics is a valuable and well-organized collection of worked-out problems that allow the reader to master the statistical techniques for modeling data in the geological sciences. The book's scope of coverage begins with the elements from statistics and probability that form the foundation of most geostatistical methodologies, such as declustering, debiasing methods, and Monte Carlo simulation. Next, the authors delve into three fundamental areas in conventional geostatistics: covariance and variogram functions; kriging; and Gaussian simulation. Finally, special topics are introduced through problems involving utility theory, loss functions, and multiple-point geostatistics. Each topic is treated in the same clearly organized format. First, an objective presents the main concepts that will be established in the section. Next, the background and assumptions are outlined, supplying the comprehensive foundation that is necessary to begin work on the problem. A solution plan demonstrates the steps and considerations that have to be taken when working with the exercise, and the solution allows the reader to check their work. Finally, a remarks section highlights the overarching principles and noteworthy aspects of the problem. Additional exercises are available via a related Web site, which also includes data related to the book problems and software programs that facilitate their resolution. Enforcing a truly hands-on approach to the topic, Solved Problems in Geostatistics is an indispensable supplement for courses on geostatistics and spatial statistics a the upper-undergraduate and graduate levels.It also serves as an applied reference for practicing professionals in the geosciences.

Geostatistical Reservoir Modeling

Author: Michael J. Pyrcz,Clayton V. Deutsch

Publisher: Oxford University Press

ISBN: 0199358834

Category: Mathematics

Page: 496

View: 3624

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Published in 2002, the first edition of Geostatistical Reservoir Modeling brought the practice of petroleum geostatistics into a coherent framework, focusing on tools, techniques, examples, and guidance. It emphasized the interaction between geophysicists, geologists, and engineers, and was received well by professionals, academics, and both graduate and undergraduate students. In this revised second edition, Deutsch collaborates with co-author Michael Pyrcz to provide an expanded (in coverage and format), full color illustrated, more comprehensive treatment of the subject with a full update on the latest tools, methods, practice, and research in the field of petroleum Geostatistics. Key geostatistical concepts such as integration of geologic data and concepts, scale considerations, and uncertainty models receive greater attention, and new comprehensive sections are provided on preliminary geological modeling concepts, data inventory, conceptual model, problem formulation, large scale modeling, multiple point-based simulation and event-based modeling. Geostatistical methods are extensively illustrated through enhanced schematics, work flows and examples with discussion on method capabilities and selection. For example, this expanded second edition includes extensive discussion on the process of moving from an inventory of data and concepts through conceptual model to problem formulation to solve practical reservoir problems. A greater number of examples are included, with a set of practical geostatistical studies developed to illustrate the steps from data analysis and cleaning to post-processing, and ranking. New methods, which have developed in the field since the publication of the first edition, are discussed, such as models for integration of diverse data sources, multiple point-based simulation, event-based simulation, spatial bootstrap and methods to summarize geostatistical realizations.

Geostatistics with Applications in Earth Sciences

Author: D.D. Sarma

Publisher: Springer Science & Business Media

ISBN: 9781402093807

Category: Science

Page: 206

View: 2874

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Geostatistics is expanding very fast: concept- and technique-wise. Keeping in view the importance of the subject, it was thought appropriate to bring out the second edition of this book. In this process, Chapter I has been expanded In Chapter 2, incorporating more details on sampling and sampling designs. a section on simulation has been introduced with emphasis on Monte-Carlo simulation with worked out examples. In Chapter 5, a procedure to compute variogram in the case of irregular grid has been outlined. Minor modifications have been made in all other chapters. A new chapter on Introduction to Advanced Geostatistics has been introduced with discussions on universal kriging, disjunctive kriging, conditional simulation and median polish kriging. Review Questions are given at the end of each chapter to facilitate a better understanding of the subject by the student/practitioner. The software codes are put in a CD for convenience of the students/practitoner of geostatistics. A few additions have been made in the bibliography making it more exhaustive. This contains references to the concepts and methods presented, in-depth treatment of related topics and possible extensions. My grateful thanks are due to Dr. B.S. Saini, Principal, Guru Nanak Engg. College, Hyderabad for very helpful support. I hope that this edition will be a welcome one.

Spatial Statistics and Geostatistics

Theory and Applications for Geographic Information Science and Technology

Author: Yongwan Chun,Daniel A Griffith

Publisher: SAGE

ISBN: 1446291626

Category: Reference

Page: 200

View: 5902

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"Ideal for anyone who wishes to gain a practical understanding of spatial statistics and geostatistics. Difficult concepts are well explained and supported by excellent examples in R code, allowing readers to see how each of the methods is implemented in practice" - Professor Tao Cheng, University College London Focusing specifically on spatial statistics and including components for ArcGIS, R, SAS and WinBUGS, this book illustrates the use of basic spatial statistics and geostatistics, as well as the spatial filtering techniques used in all relevant programs and software. It explains and demonstrates techniques in: spatial sampling spatial autocorrelation local statistics spatial interpolation in two-dimensions advanced topics including Bayesian methods, Monte Carlo simulation, error and uncertainty. It is a systematic overview of the fundamental spatial statistical methods used by applied researchers in geography, environmental science, health and epidemiology, population and demography, and planning. A companion website includes digital R code for implementing the analyses in specific chapters and relevant data sets to run the R codes.

Geostatistics

Modeling Spatial Uncertainty

Author: Jean-Paul Chilès,Pierre Delfiner

Publisher: John Wiley & Sons

ISBN: 1118136179

Category: Mathematics

Page: 726

View: 1507

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Praise for the First Edition ". . . a readable, comprehensive volume that . . . belongs on the desk, close at hand, of any serious researcher or practitioner." —Mathematical Geosciences The state of the art in geostatistics Geostatistical models and techniques such as kriging and stochastic multi-realizations exploit spatial correlations to evaluate natural resources, help optimize their development, and address environmental issues related to air and water quality, soil pollution, and forestry. Geostatistics: Modeling Spatial Uncertainty, Second Edition presents a comprehensive, up-to-date reference on the topic, now featuring the latest developments in the field. The authors explain both the theory and applications of geostatistics through a unified treatment that emphasizes methodology. Key topics that are the foundation of geostatistics are explored in-depth, including stationary and nonstationary models; linear and nonlinear methods; change of support; multivariate approaches; and conditional simulations. The Second Edition highlights the growing number of applications of geostatistical methods and discusses three key areas of growth in the field: New results and methods, including kriging very large datasets; kriging with outliers; nonse??parable space-time covariances; multipoint simulations; pluri-gaussian simulations; gradual deformation; and extreme value geostatistics Newly formed connections between geostatistics and other approaches such as radial basis functions, Gaussian Markov random fields, and data assimilation New perspectives on topics such as collocated cokriging, kriging with an external drift, discrete Gaussian change-of-support models, and simulation algorithms Geostatistics, Second Edition is an excellent book for courses on the topic at the graduate level. It also serves as an invaluable reference for earth scientists, mining and petroleum engineers, geophysicists, and environmental statisticians who collect and analyze data in their everyday work.

Geostatistics for Estimating Fish Abundance

Author: J. Rivoirard,J. Simmonds,K. G. Foote,P. Fernandes,N. Bez

Publisher: John Wiley & Sons

ISBN: 0470756888

Category: Technology & Engineering

Page: 216

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Geostatistics is a branch of spatial statistics that was originally developed for the mining industry. The technique is now widely recognised as an important tool for the estimation of the abundance and distribution of natural resources. However, new developments have been required to extend its application to fisheries science, particularly in variogram estimation. This important new title describes the fundamentals of geostatistics in terms more familiar to life-scientists, and uses case studies on seven commercially important fish stocks to demonstrate its application to fisheries survey data. Comprehensive and practical advice is given on how this new method can be used to estimate the abundance (with an appropriate measure of precision) of fish stocks worldwide. Geostatistics for Estimating Fish Abundance will be of vital interest to fisheries research scientists, marine biologists, oceanographers, marine and fish ecologists, environmental scientists and experts involved in the assessment of natural animal resources. The book has been developed as a result of studies carried out by a collaborative team of international researchers expert in this area with financial support from the Commission of the European Communities, AIR specific RTD programme. J. Rivoirard and N. Bez are at the Centre de Géostatistique de Fontainebleau, Ecole des Mines de Paris, France, J. Simmonds and P. Fernandes are at the FRS Marine Laboratory, Aberdeen, UK and K. Foote is at the Institute of Marine Research, Bergen, Norway and at Woods Hole Oceanographic Institution, USA.

Geostatistics Explained

An Introductory Guide for Earth Scientists

Author: Steve McKillup,Melinda Darby Dyar

Publisher: Cambridge University Press

ISBN: 1139486691

Category: Science

Page: N.A

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A reader-friendly introduction to geostatistics for students and researchers struggling with statistics. Using simple, clear explanations for introductory and advanced material, it demystifies complex concepts and makes formulas and statistical tests easy to apply. Beginning with a critical evaluation of experimental and sampling design, the book moves on to explain essential concepts of probability, statistical significance and type 1 and type 2 error. An accessible graphical explanation of analysis of variance (ANOVA) leads onto advanced ANOVA designs, correlation and regression, and non-parametric tests including chi-square. Finally, it introduces the essentials of multivariate techniques, multi-dimensional scaling and cluster analysis, analysis of sequences and concepts of spatial analysis. Illustrated with wide-ranging examples from topics across the Earth and environmental sciences, Geostatistics Explained can be used for undergraduate courses or for self-study and reference. Worked examples at the end of each chapter reinforce a clear understanding of the statistical tests and their applications.

Applied Mining Geology

Author: Marat Abzalov

Publisher: Springer

ISBN: 3319392646

Category: Science

Page: 448

View: 8028

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This book provides a detailed overview of the operational principles of modern mining geology, which are presented as a good mix of theory and practice, allowing use by a broad range of specialists, from students to lecturers and experienced geologists. The book includes comprehensive descriptions of mining geology techniques, including conventional methods and new approaches. The attributes presented in the book can be used as a reference and as a guide by mining industry specialists developing mining projects and for optimizing mining geology procedures. Applications of the methods are explained using case studies and are facilitated by the computer scripts added to the book as Electronic Supplementary Material.

Multiple-point Geostatistics

Stochastic Modeling with Training Images

Author: Professor Gregoire Mariethoz,Professor Jef Caers

Publisher: John Wiley & Sons

ISBN: 1118662938

Category: Science

Page: 376

View: 2263

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This book provides a comprehensive introduction to multiple-point geostatistics, where spatial continuity is described using training images. Multiple-point geostatistics aims at bridging the gap between physical modelling/realism and spatio-temporal stochastic modelling. The book provides an overview of this new field in three parts. Part I presents a conceptual comparison between traditional random function theory and stochastic modelling based on training images, where random function theory is not always used. Part II covers in detail various algorithms and methodologies starting from basic building blocks in statistical science and computer science. Concepts such as non-stationary and multi-variate modeling, consistency between data and model, the construction of training images and inverse modelling are treated. Part III covers three example application areas, namely, reservoir modelling, mineral resources modelling and climate model downscaling. This book will be an invaluable reference for students, researchers and practitioners of all areas of the Earth Sciences where forecasting based on spatio-temporal data is performed.

Model-based Geostatistics

Author: Peter Diggle,Paulo Justiniano Ribeiro

Publisher: Springer Science & Business Media

ISBN: 0387485368

Category: Science

Page: 232

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This volume is the first book-length treatment of model-based geostatistics. The text is expository, emphasizing statistical methods and applications rather than the underlying mathematical theory. Analyses of datasets from a range of scientific contexts feature prominently, and simulations are used to illustrate theoretical results. Readers can reproduce most of the computational results in the book by using the authors' software package, geoR, whose usage is illustrated in a computation section at the end of each chapter. The book assumes a working knowledge of classical and Bayesian methods of inference, linear models, and generalized linear models.

Modern Spatiotemporal Geostatistics

Author: George Christakos

Publisher: Courier Corporation

ISBN: 0486310930

Category: Science

Page: 304

View: 341

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This scholarly introductory treatment explores the fundamentals of modern geostatistics, viewing them as the product of the advancement of the epistemic status of stochastic data analysis. The book's main focus is the Bayesian maximum entropy approach for studying spatiotemporal distributions of natural variables, an approach that offers readers a deeper understanding of the role of geostatistics in improved mathematical models of scientific mapping. Starting with a overview of the uses of spatiotemporal mapping in the natural sciences, the text explores spatiotemporal geometry, the epistemic paradigm, the mathematical formulation of the Bayesian maximum entropy method, and analytical expressions of the posterior operator. Additional topics include uncertainty assessment, single- and multi-point analytical formulations, and popular methods. An innovative contribution to the field of space and time analysis, this volume offers many potential applications in epidemiology, geography, biology, and other fields.

Geostatistics for Natural Resources Evaluation

Author: Pierre Goovaerts

Publisher: Oxford University Press on Demand

ISBN: 9780195115383

Category: Science

Page: 483

View: 7733

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This text provides an advanced introduction to the theory and applications of geostatistics, including tools for description, modeling spatial continuity, spatial prediction, assessment of local uncertainty, and stochastic simulation.