Wave propagation and sources in elastic solids and compressible fluids; body, surface, and interface waves in homogeneous and plane layered media; dispersion, phase and group velocities; reflection and transmission; near-field, far-field, and static limits; effects of gravity, surface and internal gravity waves; Fourier methods and solutions in the time and frequency domains; Green's functions; reciprocity; adjoint methods and full-waveform inversion; point and line sources, finite sources, moving sources and directivity effects; multipole expansions; source representation in solids using transformation strain; application to earthquakes, volcanoes, and tsunamis. Prerequisites: Graduate-level background in continuum mechanics.
3 units · Letter or Credit/No Credit
Wave propagation and sources in elastic solids and compressible fluids; body, surface, and interface waves in homogeneous and plane layered media; dispersion, phase and group velocities; reflection and transmission; near-field, far-field, and static limits; effects of gravity, surface and internal gravity waves; Fourier methods and solutions in the time and frequency domains; Green's functions; reciprocity; adjoint methods and full-waveform inversion; point and line sources, finite sources, moving sources and directivity effects; multipole expansions; source representation in solids using transformation strain; application to earthquakes, volcanoes, and tsunamis. Prerequisites: Graduate-level background in continuum mechanics.