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Bounds on the complex conductivity of geophysical mixtures[Note 1. Received September 1996, revision accepted June 1998. ...]
Author(s) -
Tripp Alan C.,
Cherkaeva Elena,
Hulen Jeff
Publication year - 1998
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1046/j.1365-2478.1998.00108.x
Subject(s) - isotropy , anisotropy , conductivity , polarization (electrochemistry) , induced polarization , regional geology , inversion (geology) , geophysics , geology , statistical physics , mathematical analysis , electrical resistivity and conductivity , mathematics , physics , hydrogeology , chemistry , optics , quantum mechanics , geotechnical engineering , metamorphic petrology , structural basin , paleontology
Following previous work on bounds for complex dielectrics, bounds on the complex conductivity of a mixture of two isotropic components can be developed which are independent of any special assumption concerning the geometry of the mixture. If certain broad restrictions are assumed, such as isotropy of the mixture, then the bounds can be made more restrictive. These bounds reveal the range of the induced polarization response which can be caused by a mixture of two materials of known complex conductivity. The bounds can also be generalized for spectral responses. The bounds are conservative lithologically in the sense that many of the special models corresponding to boundary responses have lithological counterparts. The chief use for the given bounds is to gain insight into the nature of the induced polarization response. It is also possible to use the bounds to estimate the volume fractions of the components. We illustrate how this is done for the case of a general anisotropic medium.