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タイトル: Application of the Elasticity Theory of Dislocations to Tectonomagnetic Modelling
その他のタイトル: くい違いの弾性論を用いた地殻変動モデルに伴うピエゾ磁気変化
著者: Sasai, Yoichi
著者(別言語): 笹井, 洋一
発行日: 1980年11月15日
出版者: 東京大学地震研究所
掲載誌情報: 東京大学地震研究所彙報. 第55冊第2号, 1980.11.15, pp. 387-447
抄録: A Green function method is developed for calculating the piezomagnetic field associated with various tectonic models. The model earth considered is the simplest in its elastic and magnetic properties ; i. e. a homogeneous and isotropic semi-infinite elastic body having a uniformly magnetized top layer with a constant stress sensitivity. The experimentally as well as theoretically established law of the reversible piezomagnetic effect of rocks under uniaxial stresses is extended to include any arbitrary three-dimensional stress state. This generalized piezomagnetic law is combined with Volterra's formula in the elasticity theory of dislocations to yield a surface integral repre- sentation of the tectonomagnetic field for any dislocation models. The elementary piezomagnetic potentials, or Green's kernels in the integral formula, can be constructed by means of the Fourier trans- form method. As an applied example of the present theory, analytical solutions of the seismomagnetic effect due to purely vertical transcurrent faults are presented for the uniform and linear slip of an infinitely long fault as well as the uniform slip of a rectangular fault. Finally, a formal expression of the piezomagnetic potential is derived in terms of the given displacements within a strained body. In the uniform piezomagnetic medium of infinite extent, the potential is identical with the displacement itself multiplied by material constants of the medium. Hence, the tectonomagnetic total field change at the earth's surface represents, for the most part, the extension at that point in the geomagnetic field direction.
URI: http://hdl.handle.net/2261/12762
ISSN: 00408972


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