Wave Fields in Real Media

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Wave Fields in Real Media: Wave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media examines the differences between an ideal and a real description of wave propagation, starting with the introduction of relevant stress-strain relations. The combination of this relation and the equations of momentum conservation lead to the equation of motion. The differential formulation is written in terms of memory variables, and Biot's theory is used to describe wave propagation in porous media. For each rheology, a plane-wave analysis is performed to show the physics of wave propagation.New topics covered in this edition include Fermat principle and its relation to Snell law, S-wave amplification function, bounds and averages of seismic Q, seismic attenuation in partially molten rocks, fluid-pressure diffusion in isotropic media, equivalent inclusion average stress model, cracks and pores effective medium model, Thermo-poroelasticity, the Kjartansson model of thermoelastic attenuation, magnetotellurics, machine learning in geophysics, and thermoelastic wave simulation with the Cole-Cole model. Wave Fields in Real Media contains a review of the main direct numerical methods for solving the equation of motion in the time and space domains. The emphasis is on geophysical applications for seismic exploration, but researchers in the fields of earthquake seismology, rock acoustics, and material science - including many branches of acoustics of fluids and solids - may also find this text useful.