Mathematical Models In Geophysics


Mathematical Models In Geophysics
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Mathematical Models In Geophysics


Mathematical Models In Geophysics
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Author :
language : en
Publisher:
Release Date : 1976

Mathematical Models In Geophysics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Geophysics categories.




Physical And Mathematical Modeling Of Earth And Environment Processes


Physical And Mathematical Modeling Of Earth And Environment Processes
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Author : Vladimir Karev
language : en
Publisher: Springer
Release Date : 2018-03-24

Physical And Mathematical Modeling Of Earth And Environment Processes written by Vladimir Karev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-24 with Science categories.


This book is the result of collaboration within the framework of the Third International Scientific School for Young Scientists held at the Ishlinskii Institute for Problems in Mechanics of Russian Academy of Sciences, 2017, November. The papers included describe studies on the dynamics of natural system – geosphere, hydrosphere, atmosphere—and their interactions, the human contribution to naturally occurring processes, laboratory modeling of earth and environment processes, and testing of new developed physical and mathematical models. The book particularly focuses on modeling in the field of oil and gas production as well as new alternative energy sources.



Mathematical And Computational Models Of Flows And Waves In Geophysics


Mathematical And Computational Models Of Flows And Waves In Geophysics
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Author : Gerardo Hernández-Dueñas
language : en
Publisher: Springer Nature
Release Date : 2022-11-03

Mathematical And Computational Models Of Flows And Waves In Geophysics written by Gerardo Hernández-Dueñas and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-03 with Mathematics categories.


This volume proposes an integral approach to studying the geophysics of Earth. It is motivated by a variety of phenomena from nature with deep and direct impacts in our lives. Such events may evolve across a large range of spatial and time scales and may be observed in the ocean, the atmosphere, the volcanic surface as well as underground. The physical laws dictating the evolution of such phenomena lead to the unifying theme of this manuscript, that is, the mathematical and computational modeling of flows and waves. Consequently, the underlying models are given in terms of Partial Differential Equations (PDEs) whose solutions are approximated using numerical methods, thus providing simulations of the aforementioned phenomena, as well as the appropriate geophysical validation and interpretation.



Mathematical Geoscience


Mathematical Geoscience
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Author : Andrew Fowler
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-21

Mathematical Geoscience written by Andrew Fowler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-21 with Mathematics categories.


Mathematical Geoscience is an expository textbook which aims to provide a comprehensive overview of a number of different subjects within the Earth and environmental sciences. Uniquely, it treats its subjects from the perspective of mathematical modelling with a level of sophistication that is appropriate to their proper investigation. The material ranges from the introductory level, where it can be used in undergraduate or graduate courses, to research questions of current interest. The chapters end with notes and references, which provide an entry point into the literature, as well as allowing discursive pointers to further research avenues. The introductory chapter provides a condensed synopsis of applied mathematical techniques of analysis, as used in modern applied mathematical modelling. There follows a succession of chapters on climate, ocean and atmosphere dynamics, rivers, dunes, landscape formation, groundwater flow, mantle convection, magma transport, glaciers and ice sheets, and sub-glacial floods. This book introduces a whole range of important geoscientific topics in one single volume and serves as an entry point for a rapidly expanding area of genuine interdisciplinary research. By addressing the interplay between mathematics and the real world, this book will appeal to graduate students, lecturers and researchers in the fields of applied mathematics, the environmental sciences and engineering.



Mathematics And Geosciences Global And Local Perspectives Vol Ii


Mathematics And Geosciences Global And Local Perspectives Vol Ii
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Author : María Charco
language : en
Publisher: Birkhäuser
Release Date : 2016-04-08

Mathematics And Geosciences Global And Local Perspectives Vol Ii written by María Charco and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-08 with Science categories.


This is the second volume of the topical issue “Mathematics and Geosciences: Global and Local Perspectives” which embraces 21 papers on different topics relating to Mathematics and Geosciences. They address different topics under both global and local perspectives, such as a method for calculating probabilities for large events in systems such as earthquakes, typhoons, etc.; the use of the Laplace–Fourier-domain full waveform inversion technique to deep-sea seismic data; discrete element modeling; step-edge detection filters, study of a transition zone of the Narmada-Son lineament; integral formulae for recovering the sub-crustal stress from terrestrial gravimetric data; numerical simulations of earthquake fault systems and their use to estimate gravity changes; application of Gaussian clustering to joint interpretation of seismic and magnetotelluric data; on the reliability and fidelity of archaeomagnetic and volcanic records to recover the past evolution of the Earth’s magnetic field; the study, for the first time, of variations in absolute surface geostrophic currents (SGC) using satellite data only; discussion of the inconsistency of IAU2000 non-rigid earth nutation model; the study of nonlinear anisotropic diffusive filtering applied to the ocean ́s MDT; the numerical solution of a nonhydrostatic ocean model; Hydrological-Hydraulic models; Steiner rearrangement of a function to study the effectiveness of chemical reactors for the treatment of wastewaters; GNSS software; the study of the fractal dimensions for the identification of bedrock lithology; the study of the Uruk archaeological site (southern Iraq) by integrated geophysical methods; mathematical model for patchy landscapes; study of pore space soil structure; and the results of comparison between transverse electric-type fields and between transverse magnetic and transverse electromagnetic fields. As the previous one, volume II addresses the interest of scientists of many of the branches in Earth Sciences as well as postgraduate students, covering both approaches, applied and theoretical ones, to solve many different problems in Geosciences with the help of mathematical models and methods.



Geomathematics


Geomathematics
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Author : Volker Michel
language : en
Publisher: Cambridge University Press
Release Date : 2022-04-28

Geomathematics written by Volker Michel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-28 with Mathematics categories.


A comprehensive summary of the fundamental mathematical principles behind key topics in geophysics and geodesy. Each section begins with a problem in gravimetry, geomagnetics or seismology and analyses its mathematical features. With each chapter ending with a series of review questions, this is a valuable reference for students and researchers.



Mathematical And Numerical Modeling In Porous Media


Mathematical And Numerical Modeling In Porous Media
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Author :
language : en
Publisher:
Release Date : 2012

Mathematical And Numerical Modeling In Porous Media written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Electronic books categories.


"This volume presents a collection of prominent research contributions on applications of physics of porous media in Geosciences selected from two recent international workshops providing a state of the art on mathematical and numerical modeling in Enhanced Oil Recovery, Transport, Flow, Waves, Geostatistics and Geomechanics. The subject matters are of general interest for the porous media community, in particular to those seeking quantitative understanding of the physics of phenomena with its Mathematical Model and its subsequent solution through Numerical Methods"--



Mathematical Modelling Of Ocean Circulation


Mathematical Modelling Of Ocean Circulation
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Author : G.I. Marchuk
language : en
Publisher: Springer
Release Date : 2011-09-16

Mathematical Modelling Of Ocean Circulation written by G.I. Marchuk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-16 with Science categories.


The problems of ocean dynamics present more and more com plex tasks for investigators, based on the continuously sophisti cation of theoretical models, which are applied with the help of universal and efficient algorithms of numerical mathematics. The present level of our knowledge in the field of mathemat ical physics and numerical mathematics allows one to give rather complete theoretical analysis of basic statements of problems as well as numerical algorithms. Our task is to perform such analy sis and also to analyze the results of calculations in order to improve our knowledge of the mechanism of large-scale hy drological processes occurring in the World Ocean. The new level of numerical mathematics has essentially influenced , the formation of new solution methods of ocean dynamics prob lems, among which an important one is the splitting method, which has been already widely practised in various fields of science and engineering. A number of monographs by N. N. Yanenko, A. A. Samarsky, G.!. Marchuk (Rozhdestvensky and Yanenko 1968; Samarsky and Andreyev 1976; Marchuk 1970, 1980b) and others are devoted to the description of this methods. But the methods of the splitting theory require extensive creative work for their application to concrete problems, which are peculiar, as a rule, in problem formulation. The success of the application of these methods is related to the deep understanding of the essence of the described processes. In the last decades fundamental works of Arakawa, K.



Computational Multiscale Modeling Of Fluids And Solids


Computational Multiscale Modeling Of Fluids And Solids
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Author : Martin Oliver Steinhauser
language : en
Publisher: Springer
Release Date : 2016-11-29

Computational Multiscale Modeling Of Fluids And Solids written by Martin Oliver Steinhauser and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-29 with Science categories.


The idea of the book is to provide a comprehensive overview of computational physics methods and techniques, that are used for materials modeling on different length and time scales. Each chapter first provides an overview of the basic physical principles which are the basis for the numerical and mathematical modeling on the respective length-scale. The book includes the micro-scale, the meso-scale and the macro-scale, and the chapters follow this classification. The book explains in detail many tricks of the trade of some of the most important methods and techniques that are used to simulate materials on the perspective levels of spatial and temporal resolution. Case studies are included to further illustrate some methods or theoretical considerations. Example applications for all techniques are provided, some of which are from the author’s own contributions to some of the research areas. The second edition has been expanded by new sections in computational models on meso/macroscopic scales for ocean and atmosphere dynamics. Numerous applications in environmental physics and geophysics had been added.



Mathematical Geoenergy


Mathematical Geoenergy
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Author : Paul Pukite
language : en
Publisher: John Wiley & Sons
Release Date : 2019-01-07

Mathematical Geoenergy written by Paul Pukite and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-07 with Science categories.


A rigorous mathematical problem-solving framework for analyzing the Earth’s energy resources GeoEnergy encompasses the range of energy technologies and sources that interact with the geological subsurface. Fossil fuel availability studies have historically lacked concise modeling, tending instead toward heuristics and overly-complex processes. Mathematical GeoEnergy: Oil Discovery, Depletion and Renewal details leading-edge research based on a mathematically-oriented approach to geoenergy analysis. Volume highlights include: Applies a formal mathematical framework to oil discovery, depletion, and analysis Employs first-order applied physics modeling, decreasing computational resource requirements Illustrates model interpolation and extrapolation to fill out missing or indeterminate data Covers both stochastic and deterministic mathematical processes for historical analysis and prediction Emphasizes the importance of up-to-date data, accessed through the companion website Demonstrates the advantages of mathematical modeling over conventional heuristic and empirical approaches Accurately analyzes the past and predicts the future of geoenergy depletion and renewal using models derived from observed production data Intuitive mathematical models and readily available algorithms make Mathematical GeoEnergy: Oil Discovery, Depletion and Renewal an insightful and invaluable resource for scientists and engineers using robust statistical and analytical tools applicable to oil discovery, reservoir sizing, dispersion, production models, reserve growth, and more.