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Mathematical Models In Geophysics
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Book Synopsis Physical and Mathematical Modeling of Earth and Environment Processes by : Vladimir Karev
Download or read book Physical and Mathematical Modeling of Earth and Environment Processes written by Vladimir Karev and published by Springer. This book was released on 2018-03-24 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Modeling of Earth's Dynamical Systems by : Rudy Slingerland
Download or read book Mathematical Modeling of Earth's Dynamical Systems written by Rudy Slingerland and published by Princeton University Press. This book was released on 2011-03-28 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise guide to representing complex Earth systems using simple dynamic models Mathematical Modeling of Earth's Dynamical Systems gives earth scientists the essential skills for translating chemical and physical systems into mathematical and computational models that provide enhanced insight into Earth's processes. Using a step-by-step method, the book identifies the important geological variables of physical-chemical geoscience problems and describes the mechanisms that control these variables. This book is directed toward upper-level undergraduate students, graduate students, researchers, and professionals who want to learn how to abstract complex systems into sets of dynamic equations. It shows students how to recognize domains of interest and key factors, and how to explain assumptions in formal terms. The book reveals what data best tests ideas of how nature works, and cautions against inadequate transport laws, unconstrained coefficients, and unfalsifiable models. Various examples of processes and systems, and ample illustrations, are provided. Students using this text should be familiar with the principles of physics, chemistry, and geology, and have taken a year of differential and integral calculus. Mathematical Modeling of Earth's Dynamical Systems helps earth scientists develop a philosophical framework and strong foundations for conceptualizing complex geologic systems. Step-by-step lessons for representing complex Earth systems as dynamical models Explains geologic processes in terms of fundamental laws of physics and chemistry Numerical solutions to differential equations through the finite difference technique A philosophical approach to quantitative problem-solving Various examples of processes and systems, including the evolution of sandy coastlines, the global carbon cycle, and much more Professors: A supplementary Instructor's Manual is available for this book. It is restricted to teachers using the text in courses. For information on how to obtain a copy, refer to: http://press.princeton.edu/class_use/solutions.html
Book Synopsis Mathematics and Geosciences: Global and Local Perspectives. Vol. II by : María Charco
Download or read book Mathematics and Geosciences: Global and Local Perspectives. Vol. II written by María Charco and published by Birkhäuser. This book was released on 2016-04-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical and Computational Models of Flows and Waves in Geophysics by : Gerardo Hernández-Dueñas
Download or read book Mathematical and Computational Models of Flows and Waves in Geophysics written by Gerardo Hernández-Dueñas and published by Springer Nature. This book was released on 2022-11-03 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Models in Geophysics by :
Download or read book Mathematical Models in Geophysics written by and published by . This book was released on 1976 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Models in Geophysics by : International Association of Scientific Hydrology
Download or read book Mathematical Models in Geophysics written by International Association of Scientific Hydrology and published by . This book was released on 1976 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Geophysics by : Jean-Yves Chemin
Download or read book Mathematical Geophysics written by Jean-Yves Chemin and published by Oxford University Press. This book was released on 2006-04-13 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at graduate students and researchers in mathematics, engineering, oceanography, meteorology and mechanics, this text provides a detailed introduction to the physical theory of rotating fluids, a significant part of geophysical fluid dynamics. The Navier-Stokes equations are examined in both incompressible and rapidly rotating forms.
Book Synopsis Mathematical Geoscience by : Andrew Fowler
Download or read book Mathematical Geoscience written by Andrew Fowler and published by Springer Science & Business Media. This book was released on 2011-06-21 with total page 895 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis MATHEMATICAL MODELS IN GEOPHYSICS- PAPERS by :
Download or read book MATHEMATICAL MODELS IN GEOPHYSICS- PAPERS written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geomathematics written by Volker Michel and published by Cambridge University Press. This book was released on 2022-04-28 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Modeling of Earth's Dynamical Systems by : Rudy Slingerland
Download or read book Mathematical Modeling of Earth's Dynamical Systems written by Rudy Slingerland and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Modeling of Earth's Dynamical Systems gives earth scientists the essential skills for translating chemical and physical systems into mathematical and computational models that provide enhanced insight into Earth's processes. Using a step-by-step method, the book identifies the important geological variables of physical-chemical geoscience problems and describes the mechanisms that control these variables. This book is directed toward upper-level undergraduate students, graduate students, researchers, and professionals who want to learn how to abstract complex systems into sets of dynamic equations. It shows students how to recognize domains of interest and key factors, and how to explain assumptions in formal terms. The book reveals what data best tests ideas of how nature works, and cautions against inadequate transport laws, unconstrained coefficients, and unfalsifiable models. Various examples of processes and systems, and ample illustrations, are provided. Students using this text should be familiar with the principles of physics, chemistry, and geology, and have taken a year of differential and integral calculus. Mathematical Modeling of Earth's Dynamical Systems helps earth scientists develop a philosophical framework and strong foundations for conceptualizing complex geologic systems. Step-by-step lessons for representing complex Earth systems as dynamical models Explains geologic processes in terms of fundamental laws of physics and chemistry Numerical solutions to differential equations through the finite difference technique A philosophical approach to quantitative problem-solving Various examples of processes and systems, including the evolution of sandy coastlines, the global carbon cycle, and much more Professors: A supplementary Instructor's Manual is available for this book. It is restricted to teachers using the text in courses. For information on how to obtain a copy, refer to: http: //press.princeton.edu/class_use/solutions.html
Book Synopsis Mathematical Models in Geophysics Symposium by :
Download or read book Mathematical Models in Geophysics Symposium written by and published by . This book was released on 1976 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical and Numerical Modeling in Porous Media by : Martin A. Diaz Viera
Download or read book Mathematical and Numerical Modeling in Porous Media written by Martin A. Diaz Viera and published by CRC Press. This book was released on 2012-07-24 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Porous media are broadly found in nature and their study is of high relevance in our present lives. In geosciences porous media research is fundamental in applications to aquifers, mineral mines, contaminant transport, soil remediation, waste storage, oil recovery and geothermal energy deposits. Despite their importance, there is as yet no complete understanding of the physical processes involved in fluid flow and transport. This fact can be attributed to the complexity of the phenomena which include multicomponent fluids, multiphasic flow and rock-fluid interactions. Since its formulation in 1856, Darcy’s law has been generalized to describe multi-phase compressible fluid flow through anisotropic and heterogeneous porous and fractured rocks. Due to the scarcity of information, a high degree of uncertainty on the porous medium properties is commonly present. Contributions to the knowledge of modeling flow and transport, as well as to the characterization of porous media at field scale are of great relevance. This book addresses several of these issues, treated with a variety of methodologies grouped into four parts: I Fundamental concepts II Flow and transport III Statistical and stochastic characterization IV Waves The problems analyzed in this book cover diverse length scales that range from small rock samples to field-size porous formations. They belong to the most active areas of research in porous media with applications in geosciences developed by diverse authors. This book was written for a broad audience with a prior and basic knowledge of porous media. The book is addressed to a wide readership, and it will be useful not only as an authoritative textbook for undergraduate and graduate students but also as a reference source for professionals including geoscientists, hydrogeologists, geophysicists, engineers, applied mathematicians and others working on porous media.
Book Synopsis Applied Mathematical Problems in Geophysics by : Massimo Chiappini
Download or read book Applied Mathematical Problems in Geophysics written by Massimo Chiappini and published by Springer Nature. This book was released on 2022-07-23 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This CIME Series book provides mathematical and simulation tools to help resolve environmental hazard and security-related issues. The contributions reflect five major topics identified by the SIES (Strategic Initiatives for the Environment and Security) as having significant societal impact: optimal control in waste management, in particular the degradation of organic waste by an aerobic biomass, by means of a mathematical model; recent developments in the mathematical analysis of subwave resonators; conservation laws in continuum mechanics, including an elaboration on the notion of weak solutions and issues related to entropy criteria; the applications of variational methods to 1-dimensional boundary value problems, in particular to light ray-tracing in ionospheric physics; and the mathematical modelling of potential electromagnetic co-seismic events associated to large earthquakes. This material will provide a sound foundation for those who intend to approach similar problems from a multidisciplinary perspective.
Book Synopsis Mathematical Geoenergy by : Paul Pukite
Download or read book Mathematical Geoenergy written by Paul Pukite and published by John Wiley & Sons. This book was released on 2019-01-07 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Physical and Mathematical Modeling of Earth and Environment Processes (2018) by : V. I. Karev
Download or read book Physical and Mathematical Modeling of Earth and Environment Processes (2018) written by V. I. Karev and published by Springer. This book was released on 2019-03-24 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book entitled "Physical and Mathematical Modeling of Earth and Environment Processes" is the result of a collaborative work after the 4th international scientific youth forum held at the IPMech RAS on November 1–3, 2018. The book includes theoretical and experimental studies of processes in the atmosphere, oceans, the lithosphere and their interaction; environmental issues; problems of human impact on the environment; methods of geophysical research. A special focus is given to the extraction of hydrocarbon resources, including unconventional sources. This book also focuses on new approaches to the development of hydrocarbon fields, very important in today's geopolitical conditions. The book presents new results of the experimental and theoretical modeling of deformation, fracture and filtration processes in the rocks in connection with issues of creating scientific fundamentals for new hydrocarbon production technologies.
Book Synopsis Mathematical Models in the Applied Sciences by : A. C. Fowler
Download or read book Mathematical Models in the Applied Sciences written by A. C. Fowler and published by Cambridge University Press. This book was released on 1997-11-28 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a thorough grounding in the techniques of modeling, and proceeds to explore a range of continuum models from an impressive array of disciplines, including biology, chemical engineering, fluid and solid mechanics, geophysics, medicine, and physics. It assumes only a basic mathematical grounding in calculus and analysis and will provide a wealth of examples for students of mathematics, engineering, and the range of applied sciences.
