Interpretation of the secondary electromagnetic field by analytic continuation
Main Article Content
Abstract
Given the values of a component of secondary magnetic
field on the plane surface of the earth, an attempt has been made to approach
the sources by finding the values of the component on a plane at
a depth h below the surface, the plane being above the sources.
To this end a Green's Function for the wave equation, appropriate
for a semi — infinite space was determined. The integral obtained was
expanded into series suitable for numerical calculations.
The average values of the component on the earth plane were assumed
to satisfy a double series and the coefficients were determined by the least
square method.
Formulae were ultimately developed to calculate the values on a plane
at a depth h, in terms of average values on six concentric circles around
each point.
field on the plane surface of the earth, an attempt has been made to approach
the sources by finding the values of the component on a plane at
a depth h below the surface, the plane being above the sources.
To this end a Green's Function for the wave equation, appropriate
for a semi — infinite space was determined. The integral obtained was
expanded into series suitable for numerical calculations.
The average values of the component on the earth plane were assumed
to satisfy a double series and the coefficients were determined by the least
square method.
Formulae were ultimately developed to calculate the values on a plane
at a depth h, in terms of average values on six concentric circles around
each point.
Article Details
How to Cite
DIZIOGLU, M. Y. (1967) “Interpretation of the secondary electromagnetic field by analytic continuation”, Annals of Geophysics, 20(4), pp. 415–423. doi: 10.4401/ag-5001.
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