磁弹性半平面力学奇异性引起的磁场及其在中国大陆地壳地震活动中的应用
Magnetic fields induced by a mechanical singularity in a magnetoelastic half plane and their applications to the seismicities in the crust of the Chinese continent
摘要：
用简化的方法研究了磁场与地壳中弹性形变场的相互作用。研究了磁化弹性半平面中由线奇点产生的磁场。利用通解和傅立叶变换技术，得到了各种情况下产生的磁感应强度的封闭形式的精确解。结果表明，线集中力作用下会产生扰动磁场，而扰动磁场则相反。由线力学奇点引起的磁感应强度垂直分量的分布比水平分量的分布简单，当外加磁场和线集中力满足一定条件时，垂直分量在原点为零。将这一结果应用于中国陆壳地震和历史地震的震中定位。结果表明，80%以上的震中位于卫星磁感应垂直分量的零等值线上或其附近。这些零等值线区，特别是活动构造带内的零等值线区，可能是未来可能的孕震区。卫星磁感应垂直分量的零等值线可以作为浅源地震活动危险性信息的地球物理约束，也可以作为陆壳浅源地震活动的早期监测或历史大地震判定的辅助标志。
英文摘要：
The interaction between the magnetic field and the elastic deformation field in the crust is studied in a simplified way. The magnetic fields generated by the line singularities in a magnetized elastic half-plane are investigated. Using the general solution and Fourier transform technique, the exact solutions for the generated magnetic inductions due to various cases are obtained in a closed form. The results show that the line concentrated force will induced a perturbed magnetic field; The induced magnetic field will indicate the line concentrated force in reverse. The distribution of the vertical component of the magnetic induction caused by the line mechanical singularities is simpler than that of the horizontal component, and it is zero at the origin when the applied magnetic field and the line concentrated force satisfies some conditions. This result is applied to locate the epicenters of the earthquakes and historical earthquakes occurred in the Chinese continental crust. Results show that more than 80\% epicenters are at or near the zero-contours of the vertical component of the magnetic induction observed from satellite. These regions of zero-contours, especially those in active tectonic zones, could be the possible seismogenic zones in the future. The zero-contours of the vertical component of the magnetic induction from satellite could be as geophysical constraints to the risk information on the shallow seismicities, or they can be used as an early monitor for the shallow seismicities in the continental crust, or an auxiliary sign in the determination of the great historical earthquake.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
