Prerequisite: Successful completion of Mathematical Methods (651-4130-00L) required.
The course will guide students in learning about deep electromagnetic (EM) studies of the Earth. These studies focus on analysis and interpretation of long-period time-varying EM field observed at Earth's surface, at sea bottom and at satellite altitudes with ultimate goal to recover electrical conductivity distributions in Earth's interior.
Governing equations for these studies are Maxwell's equations and special attention in this course will be paid to the solution of Maxwell's equations in Earth's models with one-dimensional (1-D) and three-dimensional (3-D) conductivity distributions. In addition the basics of inverse problem solutions - as applied to deep EM studies - will be discussed.
Introduction to deep electromagnetic (EM) studies of Earth (governing equations, conductivity models under consideration, summary of the main EM sounding methods, etc.); basics of magnetotelluric (MT) and geomagnetic deep sounding (GDS) methods; solution of Maxwell's equations in fundamental (layered) Earth's models in Cartesian and spherical geometries; solution of Maxwell's equations - based on integral equation approach - in Earth's models with 3-D conductivity distribution (theory and efficient numerical implementation); solution of EM inverse problems (inverse problem formulation, regularization of the inverse solution, discussion on optimization methods and adjoint approach); basics of data processing; examples of application (use of MT to detect geothermal reservoirs; use of GDS to constrain mantle conductivity; 3-D EM modellings to predict space weather hazards, etc.)