Fast Convergence Algorithm for Earthquake Prediction Using Electromagnetic Fields Excited by SLF/ELF Horizontal Magnetic Dipole and Schumann Resonance

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.