Seismic waves in laterally inhomogeneous media
- 511 pages
- 18 hours of reading
This book explores advanced topics in seismic wave propagation and inversion, covering a range of methodologies and applications. It begins with coupled anisotropic shear-wave ray tracing and delves into numerical algorithms for weakly anisotropic media. The text discusses perturbations of polarization vectors in isotropic ray theory and presents synthetic seismograms generated through Gaussian beam and reflectivity methods for models with interfaces and velocity gradients. Key topics include Lyapunov exponents for 2-D ray tracing, Sobolev scalar products in constructing velocity models, and smoothing techniques for the Marmousi model. The book also addresses converted PS-wave reflection coefficients in weakly anisotropic media and provides insights into three-dimensional travel-time calculations based on Fermat’s principle. Additional discussions cover model-independent travel-time attributes, statistical travel-time tomography, and applications of directional wavefield decomposition. Techniques such as parabolic equations for seismic waves and full waveform tests of velocity models are examined, alongside time-domain modeling of constant-Q seismic waves. The text further investigates nonlinear inelastic waves in soil, pulse propagation in viscoelastic media, and the scattering of seismic waves by cracks. Finally, it addresses travel-time tomography using medium covariance functions and the estimation of correlation funct
