Progress in Geomathematics

Progress in Geomathematics

Author: Graeme Bonham-Carter

Publisher: Springer Science & Business Media

Published: 2008-09-20

Total Pages: 550

ISBN-13: 354069496X

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Celebrating Frits Agterberg’s half-century of publication activity in geomathematics, this volume’s 28 timely papers, written by his friends and colleagues, treat a variety of subjects of current interest, many of them also studied by Frits, including: spatial analysis in mineral resource assessment, quantitative stratigraphy, nonlinear multifractal models, compositional data analysis, time series analysis, image analysis, and geostatistics. Professor Agterberg published his first paper as a graduate student in 1958 and has since produced (and continues to publish) a steady stream of research papers on a wide variety of subjects of interest to geomathematical practitioners. Most of the papers included here address methodology and feature practical case studies, so that the book likely has broad appeal to those interested in mathematical geosciences, both to academic researchers seeking a comprehensive overview and also to practitioners of geomathematical approaches in industry.


Geomathematics: Theoretical Foundations, Applications and Future Developments

Geomathematics: Theoretical Foundations, Applications and Future Developments

Author: Frits Agterberg

Publisher: Springer

Published: 2014-07-14

Total Pages: 569

ISBN-13: 3319068741

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This book provides a wealth of geomathematical case history studies performed by the author during his career at the Ministry of Natural Resources Canada, Geological Survey of Canada (NRCan-GSC). Several of the techniques newly developed by the author and colleagues that are described in this book have become widely adopted, not only for further research by geomathematical colleagues, but by government organizations and industry worldwide. These include Weights-of-Evidence modelling, mineral resource estimation technology, trend surface analysis, automatic stratigraphic correlation and nonlinear geochemical exploration methods. The author has developed maximum likelihood methodology and spline-fitting techniques for the construction of the international numerical geologic timescale. He has introduced the application of new theory of fractals and multi fractals in the geostatistical evaluation of regional mineral resources and ore reserves and to study the spatial distribution of metals in rocks. The book also contains sections deemed important by the author but that have not been widely adopted because they require further research. These include the geometry of preferred orientations of contours and edge effects on maps, time series analysis of Quaternary retreating ice sheet related sedimentary data, estimation of first and last appearances of fossil taxa from frequency distributions of their observed first and last occurrences, tectonic reactivation along pre-existing schistosity planes in fold belts, use of the grouped jackknife method for bias reduction in geometrical extrapolations and new applications of the theory of permanent, volume-independent frequency distributions.


Unsaturated Soils. Advances in Geo-Engineering

Unsaturated Soils. Advances in Geo-Engineering

Author: D.G. Toll

Publisher: CRC Press

Published: 2008-06-23

Total Pages: 1008

ISBN-13: 0203884434

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Unsaturated Soils: Advances in Geo-Engineering comprises 136 contributions from leading international researchers and practitioners, presented at the First European Conference on Unsaturated Soils (Durham, UK, 2-4 July 2008). The papers report on the latest advances in geo-engineering aspects of unsaturated soils. It is the first collection to focu


Handbook of Geomathematics

Handbook of Geomathematics

Author: Willi Freeden

Publisher: Springer Science & Business Media

Published: 2010-08-13

Total Pages: 1371

ISBN-13: 364201545X

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During the last three decades geosciences and geo-engineering were influenced by two essential scenarios: First, the technological progress has changed completely the observational and measurement techniques. Modern high speed computers and satellite based techniques are entering more and more all geodisciplines. Second, there is a growing public concern about the future of our planet, its climate, its environment, and about an expected shortage of natural resources. Obviously, both aspects, viz. efficient strategies of protection against threats of a changing Earth and the exceptional situation of getting terrestrial, airborne as well as spaceborne data of better and better quality explain the strong need of new mathematical structures, tools, and methods. Mathematics concerned with geoscientific problems, i.e., Geomathematics, is becoming increasingly important. The ‘Handbook Geomathematics’ as a central reference work in this area comprises the following scientific fields: (I) observational and measurement key technologies (II) modelling of the system Earth (geosphere, cryosphere, hydrosphere, atmosphere, biosphere) (III) analytic, algebraic, and operator-theoretic methods (IV) statistical and stochastic methods (V) computational and numerical analysis methods (VI) historical background and future perspectives.


An Invitation to Geomathematics

An Invitation to Geomathematics

Author: Willi Freeden

Publisher: Springer

Published: 2019-05-17

Total Pages: 140

ISBN-13: 3030130541

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The authors introduce geomathematics as an active research area to a wider audience. Chapter 1 presents an introduction to the Earth as a system to apply scientific methods. Emphasis is laid on transfers from virtual models to reality and vice versa. In the second chapter geomathematics is introduced as a new scientific area which nevertheless has its roots in antiquity. The modern conception of geomathematics is outlined from different points of view and its challenging nature is described as well as its interdisciplinarity. Geomathematics is shown as the bridge between the real world and the virtual world. The complex mathematical tools are shown from a variety of fields necessary to tackle geoscientific problems in the mathematical language. Chapter 3 contains some exemplary applications as novel exploration methods. Particular importance is laid on the change of language when it comes to translate measurements to mathematical models. New solution methods like the multiscale mollifier technique are presented. Further applications discussed are aspects of reflection seismics. Chapter 4 is devoted to the short description of recent activities in geomathematics. The Appendix (Chapter 5) is devoted to the GEM – International Journal on Geomathematics founded ten years ago. Besides a detailed structural analysis of the editorial goals an index of all papers published in former issues is given.


Large-scale 3D Data Integration

Large-scale 3D Data Integration

Author: Sisi Zlatanova

Publisher: CRC Press

Published: 2005-10-14

Total Pages: 256

ISBN-13: 1420036289

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Large-Scale 3D Data Integration: Challenges and Opportunities examines the fundamental aspects of 3D geo-information, focusing on the latest developments in 3D GIS (geographic information) and AEC (architecture, engineering, construction) systems. This book addresses policy makers, designers and engineers, and individuals that need to overco


Microcomputer Applications in Geology 2

Microcomputer Applications in Geology 2

Author: J.T. Hanley

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 326

ISBN-13: 1483287327

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The development and utilization of microcomputers is widespread and rapid in all scientific disciplines, geology being no exception. Microcomputers are becoming ubiquitous and indispensable in research and teaching as well as in the commercial sector. The applications that are available to the geologic community today are increasingly dynamic and sophisticated, although to date software has been the limiting factor. This volume provides an excellent source of software and ideas on applications. Papers cover a wide range of subjects both in geology and computer science. The applications range from reconstructing fossil shells to reconstructing landscape terrains, covering topics such as expert systems, simulations, database construction and data analysis and display.