Mathematical Model of Anisotropy of Magnetic Susceptibility (AMS)

Magnetic susceptibility of natural rocks and ores is important in many applications. In a few rock types magnetic susceptibility is independent of the direction in which a weak magnetic field is ap-plied. Such rocks are magnetically isotropic. In most rock types, however, the magnitude of mag-netic susceptibility in a constant weak field depends on the orientation of the magnetic field ap-plied. Such rocks are magnetically anisotropic and such directional variation in magnetic suscep-tibility with these rocks is termed as anisotropy of magnetic susceptibility (AMS). Although at-tempts have been made on describing AMS using mathematical models, there is still a need to present a more consistent and united mathematical process for AMS. This paper presents a united AMS model by rationalizing the existing pieces of different AMS models through a consistent ap-proach. A few examples of AMS from some types of natural rocks and ores are also presented to substantiate this united AMS model