Various observed characteristics of the six types of stress-affected remanent magnetization of igneous rocks are theoretically derived for a model rock in which a large number of ferrimagnetic minerals having an isotropic magnetostriction are distributed at random.
For small magnetic fields (
H) and small uniaxial compressions (
P) irreversible displacements of 90° domain walls alone are subjected to a uniaxial compression in the acquisition process of remanent magnetization. Hence Rayleigh's law of the magnetic hysteresis loop is adopted in examining the effect of
H and
P on the displacement of 90° walls.
Results of calculations based on these assumptions give theoretical curves of
JR(
P+P0H+H0) vs
P/
H,
JR(
H+H0P+P0) vs
P/
H,
JR(
H+P+P0H0) vs
H/
P,
JR(
P+H+P0H0) vs
H/
P,
JR(
H+P+P0H0) vs
H/
P and
JR(
P+H+H0P0) vs
H/
P. These theoretical curves reasonably well fit the observed curves, having all observed characteristics of respective types of stress-affected remanent magnetization. The effect of
P on the remanent magnetization is a little smaller in the case of
P⊥
H than in the case of
P//
H in both the experiment and the theory. However, numerical disagreement between experimental and theoretical results are still noticed in regard to details of the phenomena.
View full abstract