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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 generated by the magnetized rock layer is one of the most important obstacles in using the magnetic field to observe the earth generator process. Based on the knowledge of spherical isotropic random vector field and two-point correlation tensor in space, a statistical model of spherically isotropic magnetized rock layers is established. The results show that if the remanent magnetization and magnetic susceptibility of the lithosphere are both spherical isotropic, the magnetic field of the lithosphere observed on the surface consists of two parts, isotropic and quasi-isotropic. Therefore, the statistical properties of the magnetic field generated by even the most statistically simple magnetized rock layers are much more complex.