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首页> 外文期刊>Wireless personal communications: An Internaional Journal >Fast Convergence Algorithm for Earthquake Prediction Using Electromagnetic Fields Excited by SLF/ELF Horizontal Magnetic Dipole and Schumann Resonance
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Fast Convergence Algorithm for Earthquake Prediction Using Electromagnetic Fields Excited by SLF/ELF Horizontal Magnetic Dipole and Schumann Resonance

机译：利用SLF / ELF水平磁偶极子和Schumann共振激发的电磁场的快速收敛算法预测地震

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In order to estimate where the electromagnetic radiation associated with the seismic activity comes from, the propagation characteristics of the SLF/ELF electromagnetic waves on the ground should also be studied. The radiation source may also be modeled as a horizontal magnetic dipole (HMD), and it is precisely calculated by using a speeding numerical convergence algorithm. A theoretical calculation of the VLF/SLF electric wave propagating among the Earth-ionosphere cavity generally utilizes the full wave method to solve the model equation. The field in the cavity is comprehended as the sum of each wave mode. However, this method is very complex, and unsuitable to the ELF frequency band. To solve the problems under the non-ideal electric conductor condition, we have further developed Barrick's method. The approach we employ below subtracts and adds appropriate identical terms to the original exact series. The subtraction accelerates significantly its numerical convergence. The added terms sum to simple closed-form expressions. The spherical harmonic series expressions of electromagnetic fields excited by SLF/ELF HMD in non-ideal Earth-ionosphere cavity have been derived. The speed of our algorithm is faster twenty eight times than it of calculating directly the sum of the series. If it calculates directly the sum of the series, it needs 1,200 series items and takes 17 min, while it needs only 300 series items and takes 0.6 min. Moreover, under the ideal electric conductor condition, we have verified the correct of our algorithm that the result coincides with that of Barrick's method. Schumann resonance is also verified.
机译：为了估计与地震活动有关的电磁辐射来自何处，还应该研究SLF / ELF电磁波在地面上的传播特性。辐射源也可以建模为水平磁偶极子（HMD），并通过使用快速数值收敛算法进行精确计算。在电离层空腔之间传播的VLF / SLF电波的理论计算通常使用全波方法来求解模型方程。腔中的场被理解为每个波模的总和。但是，该方法非常复杂，不适用于ELF频带。为解决非理想导体条件下的问题，我们进一步开发了Barrick方法。我们在下面采用的方法减去并在原始精确序列中添加了适当的相同术语。减法极大地加速了其数值收敛。添加的项加起来为简单的闭式表达式。推导了非理想地球电离层腔中SLF / ELF HMD激发的电磁场的球谐序列表达式。我们的算法的速度比直接计算序列之和的速度快28倍。如果直接计算系列的总和，则需要1200个系列项目，耗时17分钟，而仅需要300个系列项目，耗时0.6分钟。此外，在理想的导体条件下，我们已经验证了算法的正确性，其结果与巴里克方法的结果一致。舒曼共振也得到了验证。

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