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IUGG XXIV General Assembly July 2-13, 2007 Perugia, Italy<br />

(S) - <strong>IASPEI</strong> - International Association of Seismology and Physics of the Earth's<br />

Interior<br />

JSS007 Oral Presentation 1956<br />

Time dependent piezomagnetic changes in viscoelastic medium<br />

Dr. Gilda Currenti<br />

Ciro Del Negro, Malcolm Johnston, Yoichi Sasai<br />

Temporal changes in piezomagnetic field can arise from changes in magma pressure, evolution of the<br />

source geometry, or rheologic properties of the host rock. Especially in volcanic areas, the presence of<br />

inhomogeneous materials and high temperatures produce a lower effective viscosity of the Earths crust<br />

that calls for considering anelastic properties of the medium. We have investigated time dependent<br />

piezomagnetic changes due to viscoelastic properties of the medium surrounding volcanic sources.<br />

Piezomagnetic properties are carried by grains of titano-magnetite, which occupies only a small fraction<br />

of ordinary rock volume and are supposed to be elastic, while the non-magnetic surrounding matrix is<br />

assumed to behave viscoelastically. Under this assumption, only the medium parameters show a<br />

viscoelastic behavior. From all the possible rheological models, we investigate two cases in which the<br />

bulk modulus is purely elastic and the shear modulus relaxes as: (i) a standard linear solid (SLS) and (ii)<br />

a Maxwell solid. We applied the correspondence principle to the analytical elastic solutions for<br />

pressurized spherical sources and dislocation sources in order to find out the time dependent<br />

piezomagnetic fields in a viscoelastic medium. In particular, the shear stress and hence the<br />

piezomagnetic field completely disappears after the relaxation process for Maxwell rheology. For a SLS<br />

rheology, the piezomagnetic field is found to decrease over time and reach some finite net offset value.<br />

These different behaviors can provide helpful hints in understanding the temporal evolution of<br />

piezomagnetic anomalies in volcanic regions.<br />

Keywords: piezomagnetism, viscoelasticity, modeling

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