Conductivity and resistivity tensor rotation for surface impedance modeling of an anisotropic half-space
Article first published online: 6 NOV 2002
Copyright 2002 by the American Geophysical Union.
Volume 37, Issue 6, pages 2-1–2-6, December 2002
How to Cite
Conductivity and resistivity tensor rotation for surface impedance modeling of an anisotropic half-space, Radio Sci., 37(6), 1090, doi:10.1029/2001RS002535, 2002., and ,
- Issue published online: 6 NOV 2002
- Article first published online: 6 NOV 2002
- Manuscript Revised: 5 AUG 2002
- Manuscript Accepted: 5 AUG 2002
- Manuscript Received: 4 OCT 2001
- conductivity tensor;
- resistivity tensor;
- inclined anisotropy;
- plane wave propagation;
 The electromagnetic surface impedance of a half-space with inclined conductivity anisotropy can be derived from the isotropic half-space solution provided the conductivity term used in the expressions is the effective horizontal conductivity. For a TM-mode plane wave incidence, the effective horizontal conductivity must be derived from the tensor rotation of the resistivity tensor and not from the tensor rotation of the conductivity tensor. For a TE-mode incident with the same geometry as the TM-mode, the surface impedance is independent upon the inclined anisotropy. This same formulation can then be extended to a multiple layered half-space where each layer has an inclined anisotropy. For an anisotropic half-space with coefficient of anisotropy of 4, with a horizontal conductivity of 0.001 S/m inclined at 45° with respect to the horizontal plane, the magnitude of the surface impedance calculated using the resistivity tensor rotation is approximately 53% larger than the magnitude of the surface impedance calculated using the conductivity tensor rotation.