This paper deals with the solution of Maxwell's equations to model the electromagnetic fields in the case of a layered earth. The integrals involved in the solution are approximated by means of a novel approach based on the splitting of the reflection term. The inverse problem, consisting in the computation of the unknown underground conductivity distribution from a set of modeled magnetic field components, is also considered. Two optimization algorithms are applied, based on line- and global-search methods, and a new minimization approach is presented. Several EM surveys from the ground surface are simulated, considering the horizontal coplanar (HCP) and perpendicular (PRP) magnetic dipolar configurations. The numerical experiments, carried out for the study of river-levees integrity, allowed to estimate the errors associated to these kind of investigations, and confirm the reliability of the technique.
翻译:本文涉及麦克斯韦尔的方程式的解决方案,以在多层地球的情况下对电磁场进行模型化。溶液所涉及的整体部分通过基于拆分反射术语的新颖方法相近。也考虑了反向问题,包括从一组模型磁场组件中计算未知的地下导电分布。根据线和全球搜索方法采用了两种优化算法,并介绍了一种新的最小化方法。模拟了地面的若干EM测量,其中考虑到横向相平面和直角磁两极配置。为研究河流体完整性而进行的数字实验,可以估计与这类调查有关的错误,并确认了技术的可靠性。