# Analytical solutions to global and local problems of electromagnetic induction in the earth

@article{Hobbs1975AnalyticalST, title={Analytical solutions to global and local problems of electromagnetic induction in the earth}, author={B. Hobbs}, journal={Physics of the Earth and Planetary Interiors}, year={1975}, volume={10}, pages={250-261} }

Abstract This review of analytic solutions is divided into two parts. The first part reviews electromagnetic induction in radially symmetric distributions of conductivity, and is appropriate to the study of global problems. In the second part, local problems of a specific nature are considered, the model being a half-space conductor with at least one lateral discontinuity separating regions of different uniform conductivities. In some problems, an approximate surface-boundary condition is used… Expand

#### Tables from this paper

#### 13 Citations

Electromagnetic induction in the earth and oceans

- Engineering
- 1980

The introduction contains a review of published work on the oceanic induction problem up to the end of November 1979 and concentrates on induction in the ocean by magneto variations, although a brief… Expand

Solution of the H-polarization induction problem by a wavenumber integral equation approach

- Mathematics
- 1977

Summary. The H-polarization induction problem is solved in terms of an integral equation, which in the horizontal direction is transformed into the wavenumber domain. By this transformation the usual… Expand

Analytic solution to the magnetotelluric response over anisotropic medium and its discussion

- Physics
- Science China Earth Sciences
- 2013

In the present paper, from the second order partial differential equations for solving the magnetotelluric (MT) fields of general anisotropic medium, we first obtained the second order partial… Expand

The electrical conductivity of the Earth and planets

- Physics
- 1976

In addition to a review of global induction studies of the Earth, the results of recent investigations of the electrical conductivity of the lunar interior are presented. Information on the magnetic… Expand

Quasi-analytic solution of the magnetotelluric vertical layered anisotropic model

- Physics
- 2016

In order to explain the surveyed data more accurately and have a better understanding of the distribution of geoelectricity, two-dimensional partial differential equations of Magnetotelluric in… Expand

Magnetotelluric and Related Electromagnetic Investigations in Geophysics

- Geology
- 1979

A noticeable characteristic of the field of geophysical exploration of the earth through electromagnetic methods is the substantial degree of active and effective interaction presently achieved… Expand

Magnetometer array studies: A review of the interpretation of observed fields

- Geology
- 1975

Abstract A magnetometer array study consists of a number of variometers recording simultaneously across a two-dimensional area. Data recorded by an array should satisfy certain criteria, showing that… Expand

Geoelectric studies of the crust and upper mantle in Northern Scotland

- Geology
- 1980

A brief review of regional geoelectric studies around the North Atlantic is given. The theoretical basis for both magnetotelluric (MT) and geomagnetic deep sounding (GDS) methods are discussed and… Expand

E.M. induction studies in a region of active crustal dislocation

- Engineering
- 1988

During a six month period in 1984 synchronous Electromagnetic data were recorded from a 5 site MT array located near the town of Izmit, western Turkey. The array was located over an active earthquake… Expand

The deep electrical structure of the Great Glen Fault, Scotland

- Geology
- 1988

The deep structure of the Great Glen Fault (GGF) is an outstanding problem of Scottish geology. The magnetotelluric (MT) technique in the frequency range 0.016 640 Hz has been applied to the… Expand

#### References

SHOWING 1-10 OF 28 REFERENCES

The Electromagnetic Perturbation Fields of Conductivity Anomalies within the Earth

- Physics
- 1972

Summary
The electromagnetic perturbation fields of anomalous two-dimensional conductivity structures are considered. It is assumed that the total field in a conducting half-space with… Expand

Induction in a Non-Uniform Conducting Half-Space by an External Line Current

- Physics
- 1972

Summary
A two-dimensional problem in electromagnetic induction which is of interest in explaining the effect of a coastline on geomagnetic variations is solved analytically. The model considered… Expand

Induction in a layered plane earth by uniform and non-uniform source fields

- Physics
- 1973

Abstract A review of electromagnetic induction in a multi-layered earth is built around a development of the general theory from first principles. Induction by transient and periodic fields and by… Expand

Theoretical models for electromagnetic induction in the oceans

- Geology
- 1973

Abstract The different methods and techniques employed in the theory of electromagnetic induction in thin sheets are reviewed and the methods for approximation to the solution are indicated. These… Expand

The effect of a fault on the Earth's natural electromagnetic field

- Geology
- 1962

The main purpose of this paper is to study the effect on a natural electromagnetic field of a lateral variation in the physical properties of the ground. An exact mathematical solution is given for… Expand

THE ELECTROMAGNETIC FIELD WITHIN A DISCONTINUOUS CONDUCTOR WITH REFERENCE TO GEOMAGNETIC MICROPULSATIONS NEAR A COASTLINE

- Physics
- 1963

The two-dimensional problem of a low-frequency, plane-polarized electromagnetic wave incident on a semi-infinite conducting medium with a plane surface is treated for the case when the medium has a… Expand

A perturbation technique for solving boundary value problems arising in the electrodynamics of conducting bodies

- Physics
- 1970

The electrodynamics of wave reflection from conducting media lead to difficult mathematical problems because of the matching conditions which must be met at the interface between conductors and… Expand

The Perturbations of Alternating Geomagnetic Fields by Conductivity Anomalies

- Physics
- 1970

Summary
The two-dimensional problems of interest in studying the perturbation of alternating electric current by a sharp discontinuity of conductivity in a conductor are considered, and their… Expand

The Conductivity of Spherically Symmetric Layered Earth Models determined by Sq and longer Period Magnetic Variations

- Physics
- 1974

Summary
An approach to the inverse problem of electromagnetic induction in spherically symmetric layered Earth models is described. In the first case single periodic variations alone are… Expand

Electromagnetic induction in non-uniform conductors, and the determination of the conductivity of the Earth from terrestrial magnetic variations

- Physics
- 1939

The possibility of obtaining some knowledge of the distribution of electrical conductivity within the earth, from the observed variations of the earth’s magnetic field, was first considered by… Expand