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- W3022753685 abstract "Seismic wavefields represent one of the most important types of geophysical fields. These fields are widely used in seismology and in seismic exploration to gain important information about the internal structure of the earth and the location of mineral deposits. In this chapter, we discuss the general principles of acoustic and elastic wave propagation. We begin our study with the basic equations of the deformation of an elastic body, including the Hooke’s law, and derive dynamic equations of elasticity theory governing the elastic wave propagation. The properties of compressional and shear waves, as well as acoustic wave models, are discussed in details. The Green’s functions play an important role in the theory of the acoustic and elastic wave equations. These functions and their high frequency (WKBJ) approximations are used for constructing a family of Kirchhoff integral formulae and their analogs. In summary, this chapter provides a basis for integral representations of the seismic fields, which we will use in studying a seismic inverse problem." @default.
- W3022753685 created "2020-05-13" @default.
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- W3022753685 date "2015-01-01" @default.
- W3022753685 modified "2023-09-23" @default.
- W3022753685 title "Wavefield Equations" @default.
- W3022753685 doi "https://doi.org/10.1016/b978-0-444-62674-5.00018-9" @default.
- W3022753685 hasPublicationYear "2015" @default.
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