1887
Volume 8, Issue 1
  • ISSN: 0812-3985
  • E-ISSN: 1834-7533

Abstract

A practical method of solution is developed of some design and analysis problems of geophysical surveys. Starting with quantitative measures of parameter resolution in general models, we derive expressions for parameter error bounds which are related to parameter resolution and measurement noise.

The methods are applied to three problems involving buried layers: a deep permafrost layer which underlies a conductor, a buried electromagnetic waveguide, and a layer beneath the Moho. We assume that magnetotelluric data and several groups of DC resistivity measurements are available. For a realistic level of data inaccuracy it is shown that both DC and MT data are essential to resolve resistivity in the waveguide. DC data may be helpful in the deep permafrost case. They add no information in the Moho model.

This approach can be used to select methods for a wider variety of geophysical problems, including those of exploration and engineering. It also suggests that existing data, as for example those acquired in the waveguide search, might be reevaluated to good effect.

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1977-03-01
2026-01-16
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References

  1. AGARD, Sub-Surface Communications. Selected papers from the 12th symposium of the Avionics Panel of AGARD, Paris, 1966, NTIS, Springfield, Va. AD 669768. AGARD Conf. Proc. No. 20.
  2. AGARD, Electromagnetics of the Sea. Papers from the AGARD EM Wave Propagation Panel Specialists Meeting, Paris, 1970. NTIS, Springfield Va. AD716305. AGARD Conf. Proc. No. 77.
  3. CANTWELL, T., 1960. Detection and analysis of low frequency electromagnetic signals. Ph.D. Thesis, MIT, Cambridge, Mass.
  4. COOK, R.E., 1974. Experimental seismic methods in the Canadian Arctic, in Proc, 1973 National Convention, Canadian Soc. Explor. Geophys., 47-57, Calgary.
  5. DOWLING, F.L., 1970. Magnetotelluric measurements across the Wisconsin Arch, J. geophys. Res. 75, 2683-2698.
  6. DRAPER, N.R. and W.G. HUNTER, 1967. The use of prior distributions in the design of experiments for parameter estimation in non-linear situations, Biometrika 54, 147-153.
  7. FADDEEV, D.K. and V.N. FADDEEVA, 1969. Stability in linear algebra problems, in Information Processing 68, North Holland, Amsterdam.
  8. FEDEROV, V.V., 1972. Theory of Optimal Experiments, New York, Academic Press.
  9. GOLUB, G.H. and C. REINSCH, 1970. Singular value decomposition and least-squares solutions, Num. Math. 14, 403-420.
  10. HEACOCK, J.G., 1971. Intermediate and deep properties of the earth’s crust a possible electromagnetic waveguide, in The Structure and Physical Properties of the Earth’s Crust, 1-9, J.G. Heacock (ed.), Am. geophys. Un. Mono. 14.
  11. HOEKSTRA, P., P.V. SELLMANN and D. DELANEY, 1975. Ground and airborne resistivity surveys of permafrost near Fairbanks, Alaska, Geophysics 40, 641-656.
  12. HOEL, P.G., 1962. Introduction to Mathematical Statistics, 3rd ed., J. Wiley & Sons, New York.
  13. HOHMANN, G.W., 1975. Three dimensional induced polarization and electromagnetic modelling, Geophysics 40, 309-324.
  14. HOTELLING, H., 1933. Analysis of a complex of statistical variables into principal components,.J. Educat. Psych. 24, 417-441.
  15. KELLER, G.V. and F. FRISCHKNECHT, 1966. Electrical Methods in Geophysical Prospecting, Pergamon Press, Oxford.
  16. KELLER, G.V., 1971. Electrical studies of the crust and upper mantle, in The Structure and Physical Properties of the Earth’s Crust, 107-125, J.G. Heacock (ed.). Am. Geophys. Un. Mono. 14.
  17. LIPSKAYA, N.V., N.A. DENISKEN, T.L. RUDNEVA, 1973. Deep magnetotelluric sounding of the White Russian (Byelorussia) Massif, Izvestia, Earth Physics 10, 662-667.
  18. MADDEN, T.R., 1971. The resolving power of geoelectric measurements for delineating resistive zones within the crust, in The Structure and Physical Properties of the Earth’s Crust, 95-105, J.G. Heacock (ed.). Am. Geophys. Un. Mono. 14.
  19. MADDEN, T.R., 1972. Transmission systems and network analogies to geophysical forward and inverse problems, Tech. Report No. 72-3, Dept of Earth and Planetary Sciences, MIT, 45 pp.
  20. SPIES, K.P. and J.R. WAIT, 1972. Propagation of electromagnetic waves in the earth crust waveguide from ELF to VLF, Tech. Report No. 3., Inst. for Telecomm. Sciences, Boulder, Colo.
  21. TAMMEMAGI.H.Y., and F.E.M. LILLEY, 1971. Magnetotelluric studies across the Tasman Geosyncline, Australia, Geophys. J.R. astr. Soc. 22, 505-516.
  22. VOZOFF, K. and R.M. ELLIS, 1966. Magnetotelluric measurements in southern Alberta, Geophysics 31, 1153-1157.
  23. VOZOFF, K., A. ORANGE and H.S. LAHMAN, 1969. Magnetotelluric deep earth resistivity at eight U.S. “Type-Locations”, Tech. Report RU68011, Contract Nonr. 4900(00), Office of Naval Research, Geoscience, Inc., Cambridge, Mass., 69 pp.
  24. VOZOFF, K., and D.L.B. JUPP, 1975. Joint inversion of geophysical data, Geophys, J.R. astr. Soc. 42, 977-991.
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  • Article Type: Research Article

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