[en] Non-contribution to and splitting of charged particle drift surfaces in a field of the general type are shown to be specified by the violation of the mutual orthogonality of lines B = const (where B the magnetic field modulus) and the field force lines on the magnetic surfaces. Attention is drawn to the impossibility of aligning the electron- and ion drift shells in the magnetic configurations with the non-orthogonal geometry of the field. The drift shells plitting is shown to be accompanied by generation of a magnetic field lateral to the vacuum field. The lateral field is comparable with the diamagnetic field in the order of magnitude. The field orthogonality condition, invariant with regard to selecting co-ordinates, is obtained, with the differentiation being performed along the directions of a force line and a line binormal to it. The structure of averaged and splitted drift surfaces with violation of the field geometry orthogonality is studied for a final anisotropic plasma pressure, the latter being considered as preset and satisfying the equilibrium conditions. Some consequences of violation of the field geometry orthogonality are considered that affect the conditions of the plasma MHD-equilibrium and maintaining its quasi-neutrality