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Author: Frank Hadsell
Publisher:
ISBN:
Category :
Languages : en
Pages : 311
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Book Description
Author: Frank Hadsell
Publisher:
ISBN:
Category :
Languages : en
Pages : 311
Get Book Here
Book Description
Author: Frank Hadsell
Publisher:
ISBN: 9780931830471
Category :
Languages : en
Pages : 311
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Book Description
Author: G David Price
Publisher: Elsevier
ISBN: 0444535764
Category : Science
Languages : en
Pages : 657
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Book Description
Treatise on Geophysics: Mineral Physics, Volume 2, provides a comprehensive review of the current state of understanding of mineral physics. Each chapter demonstrates the significant progress that has been made in the understanding of the physics and chemistry of minerals, and also highlights a number of issues which are still outstanding or that need further work to resolve current contradictions. The book first reviews the current status of our understanding of the nature of the deep Earth. These include the seismic properties of rocks and minerals; problems of the lower mantle and the core-mantle boundary; and the state of knowledge on mantle chemistry and the nature and evolution of the core. The discussions then turn to the theory underlying high-pressure, high-temperature physics, and the major experimental methods being developed to probe this parameter space. The remaining chapters explain the specific techniques for measuring elastic and acoustic properties, electronic and magnetic properties, and rheological properties; the nature and origin of anisotropy in the Earth; the properties of melt; and the magnetic and electrical properties of mantle phases. - Self-contained volume starts with an overview of the subject then explores each topic with in depth detail - Extensive reference lists and cross references with other volumes to facilitate further research - Full-color figures and tables support the text and aid in understanding - Content suited for both the expert and non-expert
Author: Frank Hadsell
Publisher: SEG Books
ISBN: 1560800291
Category : Algebras, Linear
Languages : en
Pages : 257
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Book Description
Author: Frank Hadsell
Publisher:
ISBN: 9780931830471
Category : Algebras, Linear
Languages : en
Pages : 311
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Book Description
It is reasonable to present advanced concepts in undergraduate courses without rigor to make the courses more exciting and to give the students a preview of graduate research and education. Unfortunately, this strategy has its price. When these concepts are presented in the undergraduate environment, it is necessary to present them in such a superficial manner that they are often not viable, i.e., the student cannot build on the knowledge acquired without more help than is usually available. In this volume, the authors attempt to provide aspiring theoretical geophysicists some of that help. Some of this help is presented via generalized functions and more of it is presented via generic coordinate systems. Both of these recent mathematical developments are introduced in this volume, the second in a series of five Tensors of Geophysics volumes. The authors explain how generalized functions, or distributions, allow one to simplify some applied logic by providing the ability to treat singular functions beyond the intuitive level. They show how Fourier theory can be unified by means of distributions. The logic of 1D distributions is shown to be easily developed to that of N-D distributions. The theory of Cartesian views of tensors presented in Tensors of Geophysics for Mavericks and Mongrels is expanded to include all views, i.e., all coordinate systems. This leads to a lengthy study of the role of Hansen vectors in elastic wave theory. Cylinder functions, e.g., Bessel functions, are developed at some length. The discussion includes the Hankel transform, appropriate and convenient when the independent variable is offset. Curves and surfaces are viewed via tensors. Classical rules of spherical trigonometry are presented, and the reader is afforded a peek at some of the mathematics of relativity.
Author: Frank Hadsell
Publisher: SEG Books
ISBN: 1560800755
Category : Mathematics
Languages : en
Pages : 328
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Book Description
Author: Frank A. Hadsell
Publisher:
ISBN: 9780931830471
Category : Algebras, Linear
Languages : en
Pages : 240
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Book Description
Author: Frank Hadsell
Publisher:
ISBN: 9780931830471
Category : Algebras, Linear
Languages : en
Pages : 336
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Book Description
It is reasonable to present advanced concepts in undergraduate courses without rigor to make the courses more exciting and to give the students a preview of graduate research and education. Unfortunately, this strategy has its price. When these concepts are presented in the undergraduate environment, it is necessary to present them in such a superficial manner that they are often not viable, i.e., the student cannot build on the knowledge acquired without more help than is usually available. In this volume, the authors attempt to provide aspiring theoretical geophysicists some of that help. Some of this help is presented via generalized functions and more of it is presented via generic coordinate systems. Both of these recent mathematical developments are introduced in this volume, the second in a series of five Tensors of Geophysics volumes. The authors explain how generalized functions, or distributions, allow one to simplify some applied logic by providing the ability to treat singular functions beyond the intuitive level. They show how Fourier theory can be unified by means of distributions. The logic of 1D distributions is shown to be easily developed to that of N-D distributions. The theory of Cartesian views of tensors presented in Tensors of Geophysics for Mavericks and Mongrels is expanded to include all views, i.e., all coordinate systems. This leads to a lengthy study of the role of Hansen vectors in elastic wave theory. Cylinder functions, e.g., Bessel functions, are developed at some length. The discussion includes the Hankel transform, appropriate and convenient when the independent variable is offset. Curves and surfaces are viewed via tensors. Classical rules of spherical trigonometry are presented, and the reader is afforded a peek at some of the mathematics of relativity.
Author: A.L. Levshin
Publisher: Elsevier Science
ISBN: 9780444506429
Category : Science
Languages : en
Pages : 0
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Book Description
This book is a continuation of 'Acoustic and Elastic Wave Fields in Geophysics, Part I' published in 2000. The second volume is dedicated to propagation of linear plane, spherical and cylindrical acoustic waves in different media. Chapter 1 is devoted to principles of geometric acoustic in plane wave approximation. The eikonal and transport equations are derived. Ray tracing and wavefront construction techniques are explained. Chapter 2 deals with dynamic properties of wave fields. The behavior of pressure and displacements amplitudes in zero approximation is analysed in two ways: using Poynting vector and solving the transport equation. This chapter contains several examples related to shadow zones and caustics. In Chapter 3 using the results of analysis of high-frequency wave kinematics and dynamics some fundamental aspects of Kirchhoff migration are described. Chapters 4 and 5 are devoted to propagation of plane waves in media with flat boundaries in the case of normal and oblique incidence. Special attention is paid to the case when an incident angle exceeds the critical angles. Formation of normal modes in the waveguide is discussed. Chapter 6 deals with a spherical wave reflection and refraction. The steepest descent method is introduced to describe the behavior of reflected, transmitted, head and evanescent waves. In Chapter 7 propagation of stationary and transient waves in a waveguide formed by a flat layer with low velocity are investigated. Normal modes and waves related to the branch points of integrands under consideration are studied. Dispersive properties of normal modes are discussed. Chapter 8 describes wave propagation inside cylinder in acoustic media. Several appendices are added to help the reader understand different aspects of mathematics used in the book.
Author: David Bercovici
Publisher: Elsevier
ISBN: 0444535802
Category : Science
Languages : en
Pages : 521
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Book Description
Treatise on Geophysics: Mantle Dynamics, Volume 7 aims to provide both a classical and state-of-the-art introduction to the methods and science of mantle dynamics, as well as survey leading order problems (both solved and unsolved) and current understanding of how the mantle works. It is organized around two themes: (1) how is mantle convection studied; and (2) what do we understand about mantle dynamics to date. The first four chapters are thus concerned with pedagogical reviews of the physics of mantle convection; laboratory studies of the fluid dynamics of convection relevant to the mantle; theoretical analysis of mantle dynamics; and numerical analysis and methods of mantle convection. The subsequent chapters concentrate on leading issues of mantle convection itself, which include the energy budget of the mantle; the upper mantle and lithosphere in and near the spreading center (mid-ocean ridge) environment; the dynamics of subducting slabs; hot spots, melting anomalies, and mantle plumes; and finally, geochemical mantle dynamics and mixing. Self-contained volume starts with an overview of the subject then explores each topic in detail Extensive reference lists and cross references with other volumes to facilitate further research Full-color figures and tables support the text and aid in understanding Content suited for both the expert and non-expert
