Details of ES3103 (Autumn 2012)
| Level: 3 | Type: Theory | Credits: 3.0 |
| Course Code | Course Name | Instructor(s) |
|---|---|---|
| ES3103 | Geophysics | S.N. Bhattacharya, Supriyo Mitra |
| Syllabus |
|---|
| Geophysics
Scope: This course deals with the understanding of the Earth as a Physical object. Course Content Perspective: Rapid review of the Prominent Geomorphic Features of the Globe: an analytical approach to their causal relationship with Plate Tectonic Processes and its products. Earthquakes, Seismic Waves and the Earth Structure: Introduction to seismology, continuum mechanics, seismic wave equation and its solutions, Seismic body waves and Ray theory, Reflection and Refraction seismology, Seismic surface waves, Normal modes of the Earth, Earth velocity structure from seismograms, earth structure from crust to core, earthquake source theory, Determining earthquake source parameters, application of earthquake seismology to continental tectonics. Geophysical Fields: Potential, Electromagnetic and Thermal: Review of scalar and vector fields; Inverse square law as a natural corollary of Divergence free vector fields and their gradient driven flow equations: Diffusion, Fourier, Ohms, Darcys laws. Review of the magnetic induction field of electric current (Biot-Savart Law) and its potential analogous to dipolar magnetic charges. Laplace's, Poissons, Diffusion and Wave equations, their solutions in rectangular and polar coordinates. Basic boundary value problems with applications in delineating earth structure: electrical potential distribution produced on the earths surface by a pair of grounded electrodes for a homogeneous half space of a given resistivity as well as those over a two-layer earth of different resistivities and a buried sphere, with applications to shallow earth exploration. Magnetic potentials and fields produced by a spherical magnetic ore body and a current carrying loop over a half space. Application of electromagnetic field theory to earth exploration using magneto-tellurics. Fourier Law and the heat flow equation with an internal heat source (radiogenic); Calculation of the equilibrium geotherm for a single layer crustal model. Heat flow measurements and oceanic and continental heat flows. Thermal structure of the lithosphere, mantle and the core. Geophysical Signal Analysis and Inverse Problems Theory : Linear Systems theory; the convolution integral and its Fourier transform expression. Measure of Information; Shanons theorem: its interpretation and implications to signal archiving and reconstruction. The earth as a linear system: examples of corollaries in the wide range of deconvolution approaches to geophysical signal abstraction. Formulation of discreet Inverse problems. Review of the elements of linear algebra and matrix inversion. Least squares, minimum norm and maximum likelihood estimators; singular value decomposition and regularization of solutions. Analysis of quality of solutions and role of Inverse theory in experiment design. |
| References |
|---|
| Textbooks:
1. Introduction to Seismology, Peter Shearer, Cambridge University Press, Cambridge, 1999. 2. The Solid Earth: An Introduction to Global Geophysics: 2nd Ed, CMR Fowler, Cambridge University Press, 2005. 3. Inverse Problem Theory and Model Parameter Estimation, Albert Tarantola, SIAM, 2005. Reference Books: 1. Modern Global Seismology, Thorne Lay and Terry Wallace, Academic Press. |
Course Credit Options
| Sl. No. | Programme | Semester No | Course Choice |
|---|---|---|---|
| 1 | IP | 1 | Not Allowed |
| 2 | IP | 3 | Not Allowed |
| 3 | MS | 5 | Core |
| 4 | RS | 1 | Not Allowed |