The course is developing the theory of seismic wave propagation in realistic Earth models and is analysing specialized theories of fracture and rupture propagation as models of an earthquake. The following topics will be covered:
 
Green’s functions. Asymptotic ray theory. The Eikonal equation. Generalized Snell’s law. WKBJ approximations. Seismic moment tensors. Kinematics and dynamics modelling of seismic source. Sommerfeld radiation condition. Normal mode formulation. Surface Love and Rayleigh waves. Variational principles of surface waves in heterogeneous media. Group and phase velocity dispersion curves. Haskell‐Thompson propagator matrix. Lamb's problem. Full wave theory. Sharpes' solution and Sommerfeld‐Weyl integrals. Cagniard‐De Hoop solution for SH waves. Singularities, inhomogeneous waves.

• AKI, K. and P.G. RICHARDS. Quantitative seismology. Second édition. 2002. University Science Books.