Abstract
AbstractThis paper describes a simple procedure for the calculation of the piezomagnetic field arising from uniform regional stress in heterogeneously magnetized crust. There exists a strong similarity between the spatial distributions of anomalies in the geomagnetic total force values arising from magnetization structures in the Earth’s crust and those arising from piezomagnetic signals that arise from there. This similarity enables us to compute the piezomagnetic field due to uniform regional stress without the need to determine the explicit structure of magnetization intensities in the crust. This situation is similar to that of “reduction to the pole”, which is commonly used to interpret magnetic survey data. An explicit formula is presented that gives the 2-D spectrum of the piezomagnetic field from that of local magnetic anomalies; the formula is then applied to synthetic data. Calculated values are compared with the exact solution of the piezomagnetic field in order to assess the efficacy of the proposed method. The comparison verifies that calculations performed using the formula yield sufficiently accurate values for practical use.
Highlights
The piezomagnetic effect describes the changes that occur in the magnetization of ferromagnetic minerals when these are subjected to mechanical stress
This paper describes a simple procedure for the calculation of the piezomagnetic field arising from uniform regional stress in heterogeneously magnetized crust
Reliable values of in situ stress sensitivity are obtained by comparing simulated values, based on the piezomagnetic effect, and those obtained by actual observations
Summary
The piezomagnetic effect describes the changes that occur in the magnetization of ferromagnetic minerals when these are subjected to mechanical stress. Piezomagnetic changes calculated based on stress sensitivity obtained via experimental studies are often underestimatings compared with observed values (Sasai, 1991, 2001; Nishida et al, 2004). Until this discrepancy is resolved, it will remain difficult to conduct quantitative discussions on piezomagnetic field observations. As a first approximation it is reasonable to ignore the piezomagnetic field in the measured values; the proposed procedure based on the transfer function (20) remains valid Another problem in applying the proposed procedure is the calculation of G(kx , ky), the Fourier transform of F(x, y). These misfits in the central area are negligible in terms of practical use
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