Schmucker-Weidelt Lecture Notes, Aarhus, 1975 - MTNet

Electromagnetic Induction -- in the Earth
Contents
1. Intrcduction, bas5.c equati.ons
1.1 . General ideas
1.2. Basic equations
2. Electromagnetic induction i r ~ one-diniensional structures
2. ? . The yenerai solution
2.2. Free modes of d-ecay
2-3. .Ca.lculation of the TE-field for a layered structure
2.4. Particular source fields
2,5. Definition of the transfer function C (w ,K)
2.6. Properkies of C(W, K)
3. I.4odel calculations For two-dimensional struc-tures
3.1 . General equations
3.2, Air-half -space and conductor as basic domain
3,3. A~lomalous slab as basic domain
3.4. Anoinalous region as basic domain
4. Model. calculations for three-diwensional structures
4-7. Introduction
4.2. Integral equation metb-06
. 4.3. The surface integral approach to the mndell-iny
p?:obl.em
5. Conversion formu:lae for a t~~7o-d:i1aensi.ol1al TE-field
5.1 . Separation formulae
5.2, Conversion formulae for the f ield components of
a two.-dimensional YE-fri.el-il at the surface of
a one-dimensional st-ructure
6. Approaches to the inverse problem of electromagnetic
iaduction by linearization
6.1. The Backus-Gilbert method
6. 1 . I. Lntroiiuction
..G , I .2. The linear inverse prol~l.em . .
6.1.3. The non~linear inverse problem