Abstract
Either the magnetic anomaly or the horizontal gradient of gravity, if plotted against its Hilbert transform and then joined by a smooth curve, the relation figure is obtained. Properties of relation figures for some two-dimensional sources of simple geometry are shown to be useful in distinguishing the source geometry and also in estimating the source parameters, even in the presence of remanence.
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Atchuta Rao, D., andRam Babu, H. V. (1980a),A Note on the Application of Hilbert Transform for the Transformation of Geomagnetic Anomalies due to Two-dimensional Bodies, Curr. Sci.49, 421–423.
Atchuta Rao, D., andRam Babu, H. V. (1980b),Properties of the Relation Figure between the Vertical and the Horizontal Field Magnetic Anomalies over a Long Horizontal Cylindrical Ore Body, Curr. Sci.49, 584–585.
Atchuta Rao, D., andRam Babu, H. V. (1981),Nomograms for Rapid Evaluation of Magnetic Anomalies over Long Tabular Bodies, Pure Appl. Geophys.119, 1037–1050.
Bracewell, R.,The Fourier Transform and its Applications (McGraw Hill Book Co., New York 1965).
Edge, A. B. B., andLaby, T. H.,The Principles and Practice of Geophysical Prospecting (Cambridge University Press, Cambridge 1931).
Gay, S. P. (1963),Standard Curves for Interpretation of Magnetic Anomalies Over Long Tabular Bodies, Geophysics28, 161–200.
Green, R., andStanley, J. M. (1975),Application of Hilbert Transform Method to the Interpretation of Surface-vehicle Magnetic Data, Geophys. Prospect.23, 18–27.
Hood, P. (1964),The Konigsberger Ratio and the Dipping Dike Equation, Geophys. Prospect12, 440–456.
Nabighian, M. N. (1972),The Analytical Signal of Two-dimensional Magnetic Bodies with Polygonal Cross-section; Its Properties and Use for Automated Anomaly Interpretation, Geophysics37, 507–517.
Nabighian, M. N. (1985),Toward a Three-dimensional Automatic Interpretation of Potential Field Data via Generalized Hilbert Transforms, Geophysics49, 780–786.
Ram Babu, H. V., Subrahmanyam, A. S., andAtchuta Rao, D. (1982),A Comparative Study of the Relation Figures of Magnetic Anomalies due to Two-dimensional Dike and Vertical Step Models, Geophysics47, 926–931.
Rama Rao, Ch., Vijaya Kumar, V., Virupakshi, G., andRao, M. B. S. V. (1985),A Note on the Interpretation of Magnetic Anomalies of Infinite Thin Sheets by Using Relation Figures, Geophys. Prospect.33, 746–752.
Shuey, R. T. (1972),Application of Hilbert Transforms to Magnetic Profiles, Geophysics37, 1043–1045.
Stanley, J. M. (1978),An Application of Gradients to Gravity and Magnetic Interpretation, Bull. Aust. S.E.G.9, 15–54.
Stanley, J. M., andGreen, R. (1976),Gravity Gradients and the Interpretation of the Truncated Plate, Geophysics41, 1370–1376.
Werner, S. (1953),Interpretation of Magnetic Anomalies at Sheet-like Bodies, Stockholm, Sveriges Geologiska Undersokning, ser. C. C. Arsbok43, N:06.
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Ram Babu, H.V., Rao Atchuta, D. Application of the Hilbert transform for gravity and magnetic interpretation. PAGEOPH 135, 589–599 (1991). https://doi.org/10.1007/BF01772408
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DOI: https://doi.org/10.1007/BF01772408