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Mathematically rigorous, computationally fast, and easy to use, this new approach to electromagnetic well logging gives the reservoir engineer a new dimension to MWD/LWD interpretation and tool design Almost all publications on borehole electromagnetics deal with idealizations that are not acceptable physically. On the other hand, “exact models” are only available through detailed finite element or finite difference analysis, and more often than not, simply describe case studies for special applications. In either case, the models are not available for general use and the value of the publications is questionable. This new approach provides a rigorous, fully three-dimensional solution to the general problem, developed over almost two decades by a researcher familiar with practical applications and mathematical modeling. Completely validated against exact solutions and physics-based checks through over a hundred documented examples, the self-contained model (with special built-in matrix solvers and iteration algorithms) with a “plain English graphical user interface” has been optimized to run extremely fast – seconds per run as opposed to minutes and hours – and then automatically presents all electric and magnetic field results through integrated three-dimensional color graphics. In addition to state-of-the-art algorithms, basic "utility programs" are also developed, such as simple dipole methods, Biot-Savart large diameter models, nonlinear phase and amplitude interpolation algorithms, and so on. Incredibly useful to oilfield practitioners, this volume is a must-have for serious professionals in the field, and all the algorithms have undergone a laborious validation process with real use in the field.
This book aims to assess the nature of morphological complexity, and the properties that distinguish it from the complexity manifested in other components of language. Of the many ways languages have of being complex, perhaps none is as daunting as what can be achieved by inflectional morphology: this volume examines languages such as Archi, which has a 1,000,000-form verb paradigm, and Chinantec, which has over 100 inflection classes. Alongside this complexity, inflection is notable for its variety across languages: one can take two unrelated languages and discover that they share similar syntax or phonology, but one would be hard pressed to find two unrelated languages with the same inflectional systems. In this volume, senior scholars and junior researchers highlight novel perspectives on conceptualizing morphological complexity, and offer concrete means for measuring, quantifying and analysing it. Examples are drawn from a wide range of languages, including those of North America, New Guinea, Australia, and Asia, alongside a number of European languages. The book will be a valuable resource for all those studying complexity phenomena in morphology, and for theoretical linguists more generally, from graduate level upwards.
Resistivity logging represents the cornerstone of modern petroleum exploration, providing a quantitative assessment of hydrocarbon bearing potential in newly discovered oilfields. Resistivity is measured using AC coil tools, as well as by focused DC laterolog and micro-pad devices, and later extrapolated, to provide oil saturation estimates related to economic productivity and cash flow. Interpretation and modeling methods, highly lucrative, are shrouded in secrecy by oil service companies – often these models are incorrect and mistakes perpetuate themselves over time. This book develops math modeling methods for layered, anisotropic media, providing algorithms, validations and numerous examples. New electric current tracing tools are also constructed which show how well (or poorly) DC tools probe intended anisotropic formations at different dip angles. The approaches discussed provide readers with new insights into the limitations of conventional tools and methods, and offer practical and rigorous solutions to several classes of problems explored in the book. Traditionally, Archie’s law is used to relate resistivity to water saturation, but only on small core-sample spatial scales. The second half of this book introduces methods to calculate field-wide water saturations using modern Darcy flow approaches, and then, via Archie’s law, develops field-wide resistivity distributions which may vary with time. How large-scale resistivity distributions can be used in more accurate tool interpretation and reservoir characterization is considered at length. The book also develops new methods in “time lapse logging,” where timewise changes to resistivity response (arising from fluid movements) can be used to predict rock and fluid flow properties.
Variational coefficients quantitatively relate cosmic-ray spatial anisotropies and spectral changes to variations in ground-based cosmic ray monitor counting rates. We have calculated variational coefficients that are applicable to the analysis of a wide variety of transient cosmic ray phenomena. These calculations have been made for (1) a wide range of upper limiting rigidities from 29 to 500 GV; (2) power law rigidity spectra extending to exponents as high as +1.6; (3) spatial profiles independent of latitude; and (4) longitudinal profiles including square waves of 10, 30, 60 and an isotropic case. These variational coefficients have been calculated for eleven European cosmic ray stations, the tables being compatible with a previous publication for stations in the Western Hemisphere.