GPH 601-602 Ph.D. Seminar I-II
Material collection and presentation of a particular subject of interest
to the student. Improvement of the students’ ability in self-initiated
learning, systematizing collected materials for utilization, not
only for oral presentation but also for information retrieval and responding
GPH 630 Magnetotelluric Method (MT)
Theoretical basis of magnetotelluric (MT) method. Apparent resistivity
and phase relationships in MT. Field experiments. Data processing and
modeling of MT data.
GPH 631 Advanced Geomagnetism
Spherical harmonic analysis. External, crustal and internal geomagnetic
fields, representation of the internal field, secular variation, dipole and
non-dipole fields, westward drift. Introduction to dynamo theory.
GPH 633 Numerical Methods in Electromagnetics
Finite element method (FEM) in electromagnetism. Ritz and Galerkin
methods. One, two and three dimensional finite element analyses, boundary
GPH 640 Array Seismology (3+0+0)3
The term “Seismic array”, geometrical parameters, beam forming and
detection processing, array transfer function, slowness estimation using
seismic arrays, array design.
GPH 641 Physics of Earthquake Source II
Moment tensor representation. Body wave modeling.
Surface wave modeling. Rectangular and circular fault models.
Rupture dynamics. Friction: Byerlee's Law, Coulomb failure, slip-weakening,
rate- and state-dependent friction. Nucleation, propogation and arrest of a
rupture. Crack growth model. Spatio-temporal seismicity patterns.
Characterization of fault zone structures, trapped waves.
GPH 642 Global Seismology
Global distribution of seismic sources. Large scale structure of
the Earth. Crustal and upper mantle propagation. Mantle and
core phases. Receiver function. Global tomography. S-wave splitting
and upper mantle anisotropy. Free oscillations of the Earth. Surface
waves on spherical earth. Normal modes. Centroid moment tensor.
GPH 644 Inversion Methods in Geophysics
Inverse of matrices, eigenvalues and eigenvectors, singular value
decomposition, linear inverse problems, least squares solution of
the linear inverse problems, solving underdetermined and overdetermined
problems with constraints, generalized inverses, monte carlo methods,
Equation of motion, elastic wave equation, reflection-transmission
coefficients, surface waves, Lamb’s problem, wave propagation in
layered media, numerical solutions of wave equation.
Basic concept of probability and random processes in geophysics.
Gaussian distribution. Exponential distribution. Stationarity. Wiener
Poisson process. Extreme value statistics Gumbel's distribution. Markov
sequences. Frequency-magnitude relationship. Time dependent hazard
models. Estimation: linear-mean square estimation, Bayes estimation,
maximum likelihood estimation. Methodologies for studying seismic
hazard. Case studies in Eastern Mediterranean region.