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Topics Seismology

• Definition of strain, units

• Connection between displacement and strain, crustal deformation

• Meaning of trace

• Plane wave equation

• Strain estimation from plane waves

• C = ω/k = λ/T meaning, examples

• Displacement, velocity, acceleration (time derivatives)

• Curl of displacement

• Definition of stress, physical units

• Stress as force per area

• Values of stress inside the earth

• Traction vector, surface normal, stress on faults (normal, parallel)

• Stress-strain relation, generalized Hooke’s law

• Isotropic definition of stress-strain, λ and µ

• Definition of P and S velocity, values in crust, mantle; density

• The acoustic (scalar) wave equation, plane waves, solution

• Geometrical divergence, origin of 1/r decay

• Transmission, reflection coefficients, meaning

• AVO, AVA what does it stand for, why is it important, applications?

• Surface waves, dispersion of L/R waves in homogeneous half space or layered half space

• Dispersion characteristics, why are long periods faster?

• Concept of depth-dependent sensitivity (i.e., frequency dependence)

• How can dispersion curve be derived from observations?

• What is the polarization of L and R waves?

• What are the characteristics of R wave polarizations?

• Which wave types are contained on the ocean generated wave fields at around 5s period?

• Which mathematical operation can be used to exploit ocean generated noise?

• What is this operation usually used for?

• What is the result, when noise between two stations is correlated and stacked?

• Why is this so useful, what are applications?

• What is the physical model of an earthquake point source (graphically)

• What is the radiation pattern of the P-wave of such a source?

• What is the connection between the P-wave radiation pattern and the “beachball” representation of an earthquake source mechanism?

• What are the three basic source types and how are they called?

• What are the tectonic characteristics of areas corresponding to the basic source types?

• What are two regional examples for these basic types?

• What is the definition of the seismic moment, what is the meaning of the terms?

• What are the physical units of the seismic moment?

• What is the connection between seismic moment and magnitude?

• What is responsible for the “energy” or “size” of an earthquake?

• What is the energy ratio between two earthquake magnitude units (e.g., M5 to M4)? 𝑙𝑙𝑙𝑙𝑙𝑙

10

𝐸𝐸 = 4.8 +

1.5𝑀𝑀 , here E is energy in J, M is magnitude

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