磁化岩石层球面各向同性统计模型

A STATISTICAL SPHERICAL ISOTROPIC MODEL OF MAGNETIZED LITHOSPHERE

磁化岩石层产生的磁场是利用磁场观测研究地球发电机过程的最主要障碍之一。基于对球面各向同性随机矢量场及其空间两点关联张量的认识，建立了球面各向同性磁化岩石层的统计模型。结果表明，如果岩石层的剩余磁化强度和磁化率均为球面各向同性，那么在地表观测到的岩石层磁场由球面各向同性和准各向同性两个部分组成。因此，即使统计性质最简单的磁化岩石层，其产生的磁场的统计性质也要复杂得多。

The magnetic field resulted from magnetized lithosphere is one of the main Obstacles for determination of the field originating in the earth’ s core. In the paper,amodel in which both remanent magnetization vector and induced susceptibility scalarin lithosphere are spherical isotopic stochastic was developed acceding to the argument on spherical isotropic stochastic vector filed. It was shown that the observedlithospheric field in the earth’ s surface should be composed by a spherical isotropiccomponent and a quasi-isotropic component. Therefore, the output lithospheric field ofthe model is complex even though the magnetization of lithospheric model isstatistically simplest.