2.5D AGILD Electromagnetic Modeling and Inversion

Abstract

In this paper, we propose a new 2.5D AGILD electromagnetic (EM) modeling and inversion algorithms. We derive 2.5D differential integral equations for EM field on the boundary strip and center strip Ωs with poles in cylindrical and spherical coordinate system. A 2.5D EM field Garlekin equation is derived on the remainder domain. It supposes that the electrical parameters in the rotational direction are uniform. In the cylindrical coordinate system, the EM field is function of the r, θ, and z. However, the electrical parameters are only depended on ρ and z. Upon substituting the Fourier serious of the EM field into the strip differential integral equation and Galerkin equation, we propose the 2.5D AGILD EM modeling and inversion algorithm and develop its software. The 2.5D AGILD EM modeling and inversion algorithms and software are explained in the ../files/051002183125/paper/Figs.1–6. The AGILD method has the following advantages. (1) It vanishes error on the artificial boundary; (2) It reduces the full matrix and the ill posed for inversion; (3) It resolves coordinate singularities in cylindrical and spherical coordinate system in continuous caster, geophysics, singularities in north and south poles in Earth for EM field and Navier Stokes flow simulation in atmosphere; (4) AGILD has widely applications in geophysics, atmosphere, nano-materials, caster, medical, radio, motor, etc. areas; (5) The applications show that the 2.5D AGILD and GL are fast, accurate, and have reasonable high resolution.