Open AccessAn explicit method for solving the geomagnetic induction problem
Author(s) -
Barcilon Victor
Publication year - 1982
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1982.tb06400.x
Subject(s) - earth's magnetic field , electromagnetic induction , conductivity , set (abstract data type) , feature (linguistics) , function (biology) , mathematical analysis , mathematics , geophysics , differential equation , magnetic field , geology , computer science , physics , programming language , linguistics , philosophy , quantum mechanics , evolutionary biology , biology , electromagnetic coil
Summary. The problem of inferring the Earth conductivity as a function of depth from surface measurements of the magnetic field is considered. Two versions of a method analogous to that of Bailey are presented. The main feature of the method consists in the fact that the conductivity is given explicitly in terms to two auxiliary sequences of functions which are found by integrating a set of first‐order non‐linear differential equations.