Acoustic and elastic wave fields in geophysics, II
著者
書誌事項
Acoustic and elastic wave fields in geophysics, II
(Methods in geochemistry and geophysics, 37)
Elsevier Science, 2002
大学図書館所蔵 全2件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Bibliography : p. 613-614
Includes index
内容説明・目次
内容説明
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.
目次
Introduction. List of symbols. 1. Principles of geometrical acoustics. Transition of high-frequency acoustics. Reflected waves in media with plane interfaces. Head waves in media with plane interfaces. Wavefront construction and ray tracing. Fermat's principle and ray equations. 2. Dynamics of high-frequency wave fields. Orientation of Poynting vector and rays at high-frequency spectrum. Amplitude A0 along a ray. Reflected and transmitted waves in presence of boundary. Wave field near caustic. Fresnel volume and physical meaning of ray. 3. Basics of Kirchhoff migration. Time fields and reconstruction of reflector. Principles of Kirchhoff migration. 4. Plane waves in layered media (normal incidence). Waves in media with a single planar interface. Normal incidence of plane wave in horizontally layered media. 5. Plane waves in layered media (oblique incidence). Reflection and transmission of plane wave. Reflection and refraction of sinusoidal waves. Distribution of energy between reflected and transmitted waves. Reflection and transmission of transient plane wave. Reflection and transmission of inhomogeneous plane waves. Oblique incidence of plane waves in media with two interfaces. Wave propagation in waveguides. Waves in media with continuously changing velocity. 6. Spherical waves in the presence of horizontal interface. Spherical source in a half-space with a free or rigid surface. Spherical source in medium with plane boundary (general case). Analysis of wave fields by the stationary phase method. Head wave and integration along branch cuts. Wave and near zones. Wave asymptotics and the steepest descent method. 7. Propagation of waves inside a layer. Acoustic potential of elementary source located inside a layer. Expansion of integrands in series. Integration along branch cuts and around poles. Normal modes. Asymptotic behavior of waves related to potential U. Transient waves inside a layer. Evaluation of normal modes. 8. Acoustic potential in medium with a cylindrical interface. Solution of the boundary value problem. Normal modes inside the cylinder. Head wave in borehole. Appendices. Appendix A. Functions of complex variables. Appendix B. Hilbert transform. Appendix C. The saddle point method. Appendix D. Different equations. References. Index.
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