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1.6 Constitutive Relations
The electromagnetic properties of rocks (s,
e, and m)
are expressed by the constitutive relations from the previous section:
and
In the most
general cases s, e,
and m are complex tensors which are functions
of angular frequency w=2pf,
the field strengths, position r, temperature T, pressure
P, and composition. For example,
| s
= s(w,
E, r, T, P). |
(1.6.4) |
In geophysics
we usually normalize e and m
by the free space values eo
and mo, and define the dielectric
constant, Ke and relative magnetic permeability,
Km as
and
respectively.
Furthermore, for purely traditional reasons in geophysics the conductivity
is expressed by its reciprocal, the resistivity, r,
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