Open AccessPiezomagnetic field associated with a numerical solution of the Mogi model in a non‐uniform elastic medium
Author(s) -
Okubo Ayako,
Oshiman Naoto
Publication year - 2004
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.2004.02423.x
Subject(s) - matrix (chemical analysis) , mechanics , magnetic field , displacement field , materials science , field (mathematics) , displacement (psychology) , geophysics , geology , mathematical analysis , physics , mathematics , finite element method , thermodynamics , composite material , psychology , quantum mechanics , pure mathematics , psychotherapist
SUMMARY In this paper we evaluate changes in the geomagnetic field due to the piezomagnetic effect produced by a stress field of dilatation sources represented by numerical solutions in a non‐uniform elastic medium. In a previous work on piezomagnetic modelling a uniform elastic medium was assumed, but in this study we deal with a model of the Earth's crust which consists of a stratified structure. We used the mathematical expressions of the Thomson–Haskell propagation matrix technique and estimated the displacement and strain components for the source type mentioned above. The aim of this study is to evaluate how the piezomagnetic changes are affected by a non‐uniform elastic medium. We carried out some case studies to evaluate the piezomagnetic effect for a simple two‐layer model and investigated the influence of two related variables, the depth of the lower boundary of the layer with elastic properties, z 1 , and the depth of the Curie point isotherm, H 0 . From this evaluation it turns out that the piezomagnetic effect depends strongly on the depth of the elastic boundary.