Bounds on the complex conductivity of geophysical mixtures
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...
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| Published in: | Geophysical Prospecting Vol. 46; no. 6; pp. 589 - 601 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Oxford BSL
Blackwell Science
01-11-1998
Blackwell |
| Subjects: | |
| Online Access: | Get full text |
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| Summary: | 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. |
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| Bibliography: | istex:A4AD6F74931FCA67F6A7DEC1F8502864126E0F7E ark:/67375/WNG-8FWPNXQF-7 Received September 1996, revision accepted June 1998. ArticleID:GPR108 |
| ISSN: | 0016-8025 1365-2478 |
| DOI: | 10.1046/j.1365-2478.1998.00108.x |