Schlumberger Cambridge Research
Email:
chapman@cambridge.scr.slb.com
poster/oral: oral
| In 1966, Freeman Gilbert co-authored a paper introducing the terminology and formalism of propagator matrices to seismology. This talk will review the many techniques that have been developed from this foundation that are important in high-frequency, body-wave seismic modelling in 1D stratified media. The method has been extended to general anisotropy, and the symplectic symmetries have been exploited to calculate propagators and reflection coefficients efficiently, and to prove useful orthogonal and reciprocal results. Approximations including the WKBJ and Langer asymptotic series, and the Bremmer iterative series have been used to model in inhomogeneous layers. The Langer block- diagonalization and second-order minors lead to a particularly simple propagator. More recent developments in 3D modelling using some analogous results will be discussed. |