Unlike most other sciences, geology does not have a strong tradition of numerical analysis. It is, however, increasingly common for primary geological information to be quantitative rather than descriptive, and analysis of numerical data is now a skill of immense value to any earth scientist. The authors of this book have set out to provide students at undergraduate and graduate level with a thorough grounding in the statistical techniques required in the earth sciences. All the modern statistical methods employed by geologists and geophysicists are covered, with clear worked examples using the type of data the reader is likely to encounter.

This textbook introduces the use of Python programming for exploring and modelling data in the field of Earth Sciences. It drives the reader from his very first steps with Python, like setting up the environment and starting writing the first lines of codes, to proficient use in visualizing, analyzing, and modelling data in the field of Earth Science. Each chapter contains explicative examples of code, and each script is commented in detail. The book is minded for very beginners in Python programming, and it can be used in teaching courses at master or PhD levels. Also, Early careers and experienced researchers who would like to start learning Python programming for the solution of geological problems will benefit the reading of the book.

Special Features: · Offers a comprehensive treatment of statistics in geology.· Topics progress from background information to analysis of geological sequences, then maps, and finally multivariate observations.· The book places special emphasis on probability and statistics, including nonparametric statistics, constant-sum data, eigenvalue calculations, analysis of directional data, mapping and geostatistics, fractals, and multivariate analysis.· The text now includes numerous geological data sets that illustrate how specific computational procedures can be applied to problems in the Earth sciences. All data sets are available on the book's companion Web site.· Each chapter now ends with a set of exercises of greater or lesser complexity that the student can address using methods discussed in the chapter.· Provides expanded coverage of elementary probability theory.· The discussion of nonparametric methods has been expanded to address closure effects.· Coverage of eigenvalues and eigenvectors has been revised.· Includes a new section on singular value decomposition and the relationship between R- and Q-mode factor methods in the chapter on multivariate analysis.· The section on contour mapping has been revised to reflect modern practices.· Includes revised coverage of the many varieties of kriging and provides of series of simple demonstrations that illustrate how geostatistical methodologies work.· Includes a discussion of fractals, a promising area of future research.· The section on regression has been expanded to include several variants that have special significance in the Earth sciences.

Since Karl Pearson wrote his paper on spurious correlation in 1897, a lot has been said about the statistical analysis of compositional data, mainly by geologists such as Felix Chayes. The solution appeared in the 1980s, when John Aitchison proposed to use Iogratios. Since then, the approach has seen a great expansion, mainly building on the idea of the `natural geometry' of the sample space. Statistics is expected to give sense to our perception of the natural scale of the data, and this is made possible for compositional data using Iogratios. This publication will be a milestone in this process.

Earth science is becoming increasingly quantitative in the digital age. Quantification of geoscience and engineering problems underpins many of the applications of big data and artificial intelligence. This book presents quantitative geosciences in three parts. Part 1 presents data analytics using probability, statistical and machine-learning methods. Part 2 covers reservoir characterization using several geoscience disciplines: including geology, geophysics, petrophysics and geostatistics. Part 3 treats reservoir modeling, resource evaluation and uncertainty analysis using integrated geoscience, engineering and geostatistical methods. As the petroleum industry is heading towards operating oil fields digitally, a multidisciplinary skillset is a must for geoscientists who need to use data analytics to resolve inconsistencies in various sources of data, model reservoir properties, evaluate uncertainties, and quantify risk for decision making. This book intends to serve as a bridge for advancing the multidisciplinary integration for digital fields. The goal is to move beyond using quantitative methods individually to an integrated descriptive-quantitative analysis. In big data, everything tells us something, but nothing tells us everything. This book emphasizes the integrated, multidisciplinary solutions for practical problems in resource evaluation and field development.

Extensive discussions cover the distribution, sampling, inference, analysis of variances; transformations of univariate statistical methods; analyses of geological trends and multivariate data; ratios and variables of constant sum; exploration for natural resources; and evaluation of computers and geology. No previous knowledge of statistics necessary.

This book offers a compact guide to geological core analysis, covering both theoretical and practical aspects of geological studies of reservoir cores. It equips the reader with the knowledge needed to precisely and accurately analyse cores. The book begins by providing a description of a coring plan, coring, and core sampling and continues with a sample preparation for geological analysis. It then goes on to explain how the samples are named, classified and integrated in order to understand the geological properties that dictate reservoir characteristics. Subsequently, porosity and permeability data derived from routine experiments are combined to define geological rock types and reduce reservoir heterogeneity. Sequence stratigraphy is introduced for reservoir zonation. Core log preparation is also covered, allowing reservoirs to be analysed even more accurately. As the study of core samples is the only way to accurately gauge reservoir properties, this book provides a useful guide for all geologists and engineers working with subsurface samples.

Presents nearly all the important elementary and analytical methods of statistics, designed for the needs of the geoscientist and completely free from higher mathematics. Translated from the second German edition.

During the last 10 years numerical methods have begun to dominate paleontology. These methods now reach far beyond the fields of morphological and phylogenetic analyses to embrace biostratigraphy, paleobiogeography, and paleoecology. Paleontological Data Analysis explains the key numerical techniques in paleontology, and the methodologies employed in the software packages now available. Following an introduction to numerical methodologies in paleontology, and to univariate and multivariate techniques (including inferential testing), there follow chapters on morphometrics, phylogenetic analysis, paleobiogeography and paleoecology, time series analysis, and quantitative biostratigraphy Each chapter describes a range of techniques in detail, with worked examples, illustrations, and appropriate case histories Describes the purpose, type of data required, functionality, and implementation of each technique, together with notes of caution where appropriate The book and the accompanying PAST software package (see www.blackwellpublishing.com/hammer) are important investigative tools in a rapidly developing field characterized by many exciting new discoveries and innovative techniques An invaluable tool for all students and researchers involved in quantitative paleontology