Use and abuse of statistical methods in the earth sciences

Author: William B. Size,International Association for Mathematical Geology,Geological Society of America. Meeting

Publisher: Oxford University Press, USA


Category: Science

Page: 169

View: 2881


A major goal of earth scientists is to make geological interpretations based on statistical inferences, but accomplishing this is difficult due to the "abuse" of statistical methods. This book, the first in the International Association for Mathematical Geology Series, addresses the underlying assumptions of randomness, normality, and variance of sample data used with statistical methods. The authors uncover the reasons for unreliable or invalid statistical results and discuss the use of statistical measures of association, correlation, and regressions with relatively uncontrolled and variable natural data. Their analyses help to bridge the gap between geostatisticians and earth science researchers, and will be valuable to a wide range of earth scientists.

Modern Spatiotemporal Geostatistics

Author: George Christakos

Publisher: Oxford University Press on Demand

ISBN: 0195138953

Category: Mathematics

Page: 288

View: 8551


Preface. 1. Spatiotemporal Mapping in Natural Sciences. 2. Spatiotemporal Geometry. 3. Physical Knowledge. 4. The Epistemic Paradigm. 5. Mathematical Formulation of the BME Method. 6. Analytical Expressions of the Posterior Operator. 7. The Choice of a Spatiotemporal Estimate. 8. Uncertainty Assessment. 9. Modifications of Formal BME Analysis. 10. Single-Point Analytical Formulations. 11. Multipoint Analytical Formulations. 12. Popular Methods in the Light of Modern Spatiotemporal Geostatistics. 13. A Call Not to Arms but to Research. Bibliography. Index.

Dictionary of Mathematical Geosciences

With Historical Notes

Author: Richard J. Howarth

Publisher: Springer

ISBN: 3319573152

Category: Science

Page: 899

View: 1202


This dictionary includes a number of mathematical, statistical and computing terms and their definitions to assist geoscientists and provide guidance on the methods and terminology encountered in the literature. Each technical term used in the explanations can be found in the dictionary which also includes explanations of basics, such as trigonometric functions and logarithms. There are also citations from the relevant literature to show the term’s first use in mathematics, statistics, etc. and its subsequent usage in geosciences.

Principles of Mathematical Petrophysics

Author: John H. Doveton

Publisher: Oxford University Press (UK)

ISBN: 0199978042

Category: Science

Page: 248

View: 2288


The pioneering work of Gus Archie moved log interpretation into log analysis with the introduction of the equation that bears his name. Subsequent developments have mixed empiricism, physics, mathematical algorithms, and geological or engineering models as methods applied to petrophysical measurements in boreholes all over the world. Principles of Mathematical Petrophysics reviews the application of mathematics to petrophysics in a format that crystallizes the subject as a subdiscipline appropriate for the workstations of today. The subject matter is of wide interest to both academic and industrial professionals who work with subsurface data applied to energy, hydrology, and environmental issues. This book is the first of its kind, in that it addresses mathematical petrophysics as a distinct discipline. Other books in petrophysics are either extensive descriptions of tool design or interpretation techniques, typically in an ad hoc treatment. It covers mathematical methods that are applied to borehole and core petrophysical measurements to estimate rock properties of fluid saturation, pore types, permeability, mineralogy, facies, and reservoir characterization. These methods are demonstrated by a variety of case studies and summaries of applications. Principles of Mathematical Petrophysics is an invaluable resource for all people working with data related to petrophysics.