Normal modes and seismograms in an anelastic rotating Earth

摘要: In order to account for rotation and anelastic effects in the normal modes of Earth, a structure space different from those generally used elastic self-adjoint case is necessary. This can be done with duality relation between eigenproblem one obtained simply by reversing Earth's rotation. leads new biorthonormality relations dual modes. Seismograms then expressed terms mode expansion. The an rotating Earth computed perturbation theory. take into coupling dispersion curves, as well toroidal spheroidal modes, perturbations start anelastic, non-rotating rather than one. secular series, due same multiplet, removed. ensures that higher theory converges sufficient accuracy, gives, up third order, expressions eigenmodes eigenfrequencies. These compute seismograms realistic model, neglecting neither rotation, anelasticity, anisotropy or lateral heterogeneities.