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Watch fullscreen. The purpose of this title - which is intended for senior undergraduate and graduate students as well as scientists interested in quantitative seismology - is to use aspects of continuum mechanics, wave theory and ray theory to describe phenomena resulting from the propagation of waves.
The book is divided into three parts: Elastic continua, Waves and rays, and Variational formulation of rays. In Part I, continuum mechanics are used to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such material. In Part II, these equations are used to identify the types of body waves propagating in elastic continua as well as to express their velocities and displacements in terms of the properties of these continua.
To solve the equations of motion in anisotropic inhomogeneous continua, the high-frequency approximation is used and establishes the concept of a ray. In Part III, it is shown that in elastic continua a ray is tantamount to a trajectory along which a seismic signal propagates in accordance with the variational principle of stationary travel time.
Browse more videos. Playing next The Powerful Waves? Nicole Kidder. In Waves and Rays, we use these equations to identify the types of body waves propagating in elastic continua as well as to express their velocities and displacements in terms of the properties of these continua.
Waves And Rays In Elastic Continua (3rd Edition) (Hardcover) by Slawinski Michael A.
To solve the equations of motion in anisotropic inhomogeneous continua, we invoke the concept of a ray. In Variational Formulation of Rays, we show that, in elastic continua, a ray is tantamount to a trajectory along which a seismic signal propagates in accordance with the variational principle of stationary traveltime. Consequently, many seismic problems in elastic continua can be conveniently formulated and solved using the calculus of variations.
In the Appendices, we describe two mathematical concepts that are used in the book; namely, homogeneity of a function and Legendre's transformation.
Waves and Rays in Elastic Continua - eBook - ecejyredagij.ml
This section also contains a list of symbols. Particularly useful are the sets of exercises with complete solutions at the end of each chapter which illustrate important calculations, methods and proofs of theorems. This book touches on several important classical areas of physics and applied mathematics and provides an excellent introduction both to them and to the theory of waves in a geophysical context and is strongly recommended.
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Waves and Rays in Elastic Continua
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