NGEO051, summer term, 30 hours
(free extension of lecture
Theoretical foundations of ray methods
and Modelling seismic waves in 3-D)
Seismic models.
Geological structures. Medium correlation functions.
Seismic model of the medium (macro model).
Macro model and structural images.
Refraction and reflection seismic methods.
Nonlinear inverse theory, probability density functions.
A priori p.d.f., data p.d.f., theoretical p.d.f., a posteriori p.d.f.,
marginal p.d.f.. Standard distribution (Gaussian). Linearization.
Kinematic hypocentre determination (linear and non-linear).
Seismic travel-time tomography.
Data, model parameters, objective and subjective a priori information,
model smoothness, Sobolev scalar products.
Resolution and covariance matrices, standard deviations.
Transfer of errors in seismic modelling.
Seismic migrations.
Prestack and poststack migrations. Resolution of seismic migrations.
Kirchhoff migrations. Numerical efficiency of migration methods.
Seismic wavefield tomography.
Representation theorems, Born scattering,
frequency-dependent information contained within wide-angle seismic data,
Gabor transform, seismic wavefield tomography.
Seismic modelling.
Software, portability of source codes and data files,
programming language standards, computer graphics standards,
software packages developed and used at the Department of Geophysics.