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The Quarterly Journal of Mechanics and Applied Mathematics 1957 10(1):79-89; doi:10.1093/qjmam/10.1.79
© 1957 by Oxford University Press
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A TRANSIENT MAGNETIC DIPOLE SOURCE ABOVE A TWO-LAYER EARTH

J. S. LOWNDES

( University College of North Staffordshire )

The problem of a magnetic dipole acting as a transient current source when situated over a two-layer earth is considered by using the methods of integral transforms. The general expressions have been applied to deduce the induced field at the surface of the earth when the dipole is located on the surface, in the cases when the earth has homogeneous conductivity, and when the conductivities of the two layers are nearly equal. The expressions obtained for the induced magnetic field components are in a form suitable for numerical calculation.


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