Resistivity Sounding Computations with Any Array using a Single Digital Filter

References

1. AL’PIN, L. N., BERDICHEVKS1I, M. H., VEDRINSTEV, G. A., and ZAGARMISTR, A. M., 1066, Dipole Methods for Measuring Earth Conductivity. Consultants Bureau, New York, 302 pp.
2. ANDERSON, W. L., 1975, Improved digital filters for evaluating Fourier and Hankel transform integrals. U.S.G.S. Report No. USGS-GD-75-012,223pp.
3. ANDERSON, W. L., 1979, Computer program: Adaptive integration of related Hankel transforms of orders 0 and 1 by adaptive digital filtering. Geophysics 44, 1287-1305.
4. BRACEWELL, R., 1965, The Fourier Transform and its Applications. McGraw Hill, New York, 383 pp.
5. BRIGHAM, E. O., 1974, The Fast Fourier Transform. Prentice Hall, New Jersey, p. 164.
6. CARPENTER, E. W., 1955, Some notes concerning the Wenner configuration. Geoph, Prosp. 3, 388-402.
7. CARPENTER, E. W. and HABBERJAM, G. M., 1956, A tripotential method of resistivity prospecting. Geophysics 21, 455-469.
8. DAS, U. and GHOSH, D., 1974, Determination of filter coefficients for computation of standard curves for dipole resistivity sounding over layered earth by linear digital filtering. Geoph. Prosp. 22, 765-780.
9. DAVIS, P. A., 1979a, Development and application of resistivity sounding inversion for several field arrays. M.S. Thesis, University of Minnesota, 152 pp.
10. DAVIS, P. A., 1979b, Interpretation of resistivity sounding data: computer programs for solutions to the forward and inverse problems. Minnesota Geol. Surv. Information Circular 17.
11. DIXON, O. and DOHERTY, J. E., 1977, New interpretation methods for IP soundings. Bull. Aust. Soc. Explor. Geophys. 8, 65-69.
12. GHOSH, D. P., 1971a, The application of linear filter theory to the direct interpretation fo geoelectrical resistivity sounding measurements. Geoph. Prosp. 19, 192-217.
13. GHOSH, D. P., 1971b, Inverse filter coefficients for the computation of apparent resistivity standard curves for a horizontally stratified earth. Geoph. Prosp. 19, 769-775.
14. INMAIM, J. R., RYU, J. and WARD, S. H., 1973. Resistivity inversion. Geophysics 38, 1088-1108.
15. JOHANSEN, H. K., 1975, An interactive computer/graphic-display terminal system for interpretation of resistivity soundings: Geoph. Prosp. 23, 449-458.
16. KELLER, G., 1966, Dipole method for deep resistivity studies. Geophysics 31,1088-1104.
17. KELLER, G. V. and FRISCHKNECHT, F. C, 1966. Electrical Methods in Geophysical Prospecting. Pergamon Press, New York, 517 pp.
18. KOEFOED, O., 1968, The Application of the Kernel Function to Interpreting Geoelectrical Resistivity Measurements. Geo-exploration Monograph Series 1, No. 2. Gebruder Borntraeger, Berlin. 111 pp.
19. KOEFOED, 0., 1972, A note on the linear filter method of interpreting resistivity sounding data. Geoph. Prosp. 20, 403-405.
20. KOEFOED, O., GHOSH, D. P. and POLMAN, G. J., 1972, Computation of type curves for electromagnetic depth sounding with a horizontal transmitting coil by means of a digital linear filter. Geoph. Prosp. 20, 406-420.
21. MERRICK, N. P., 1977. Resistivity sounding for groundwater. M.Sc. Thesis, University of Sydney, 399 pp.
22. MOONEY, H. M. and WETZEL, W. W., 1956, The Potentials about a Point Electrode and Apparent Resistivity Curves for a Two-Three-and Four-layer Earth. Univ. Minnesota, Minneapolis, Minn, 146 pp.
23. MOONEY, H. M., ORELLANA' E., PICKETT, H. and TORNHEIM, L., 1966, A resistivity computation method for layered earth models. Geophysics 31, 192-203.
24. O’NEILL, D. J., 1975, Improved linear filter coefficients for application in apparent resistivity computations. Bull. Aust Soc. Expior. Geophys. 6,104-109. (Errata, Vol. 7, p. 48)
25. ORELLANA, E., and MOONEY, H. M., 1966, Master Tables and Curves for Vertical Electrical Sounding over Layered Structures. Interciencia, Madrid, 159 pp.
26. WATSON, G. N., 1966. A Treatise on the Theory of Bessel Functions. Cambridge University Press.
27. WEST, S. S., 1940, Three layer resistivity curves for the Eltran configuration. Geophysics 5, 43-46.