Journal : Acta Geophysica
Article : A simple formula for shape and depth determination from residual gravity anomalies

Authors :
Teisseyre, R.
Institute of Geophysics, Polish Academy of Sciences ul. Księcia Janusza 64, 01-452 Warszawa, Poland,,
Pilchin, A.N.
Universal Geoscience and Environmental Consulting Company, 205 Hilda Ave., Willowdale, Ontario, M2M 4B1, Canada,,
Bubnov, V.P.
North-West Ltd., Podolskih kursantov 24D, 117546 Moscow, Russia,,
Bojdys, G.
Faculty of Geology, Geophysics and Environmental Protection, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Kraków, Poland,,
Essa, K.S.
Geophysics Department, Faculty of Science, Cairo University, Giza, Egypt,,
Abstract : This paper presents a simple method for shape and depth determination of a buried structure from residual gravity anomalies along profile. The method utilizes the anomaly values of the origin and characteristic points of the profile to construct a relationship between the shape factor and depth of the causative source. For fixed points, the depth is determined for each shape factor. The computed depths are then plotted against the shape factor representing a continuous monotonically increasing curve. The solution for the shape and depth of the buried structure is then read at the common intersection point of the depth curves. This method is applied to synthetic data with and without random errors. Finally, the validity of the method is tested on two field examples from the USA.

Keywords : gravity anomalies, shape and depth determination, depth curves,
Publishing house : Instytut Geofizyki PAN
Publication date : 2007
Number : Vol. 55, no. 2
Page : 182 – 190

: Abdelrahman, E.M., and T.M. El-Araby, 1993, A least-squares minimization approach to depth determination from moving average gravity anomalies, Geophysics 59, 1779-1784.
Abdelrahman, E.M., and S.M. Sharafeldin, 1995, A least-squares minimization approach to shape determination from gravity data, Geophysics 60, 589-590.
Abdelrahman, E.M., A.I. Bayoumi, Y.E. Abdelhady, M.M. Gobashy and H.M. El-Araby, 1989, Gravity interpretation using correlation factors between successive least-squares residual anomalies, Geophysics 54, 1614-1621.
Abdelrahman, E.M., A.I. Bayoumi and H.M. El-Araby, 1991, A least-squares minimization approach to invert gravity data, Geophysics 56, 115-118.
Abdelrahman, E.M., H.M. El-Araby, T.M. El-Araby and E.R. Abo-Ezz, 2001, Three leastsquares minimization approach to depth, shape, and amplitude coefficient determination from gravity data, Geophysics 66, 1105-1109.
Bowin, C., E. Scheer and W. Smith, 1986, Depth estimates from ratios of gravity, geoid, and gravity gradient anomalies, Geophysics 51, 123-136.
Butler, D.K., 1984, Microgravimetric and gravity gradient techniques for detection of subsurface cavities, Geophysics 49, 1084-1096.
Gupta, O.P., 1983, A least-squares approach to depth determination from gravity data, Geophysics 48, 357-360.
Lines, L.R., and S. Treitel, 1984, A review of least-squares inversion and its application to geophysical problems, Geophys. Prosp. 32, 159-186.
Mohan, N.L., L. Anandababy and S. Roa, 1986, Gravity interpretation using Mellin transform, Geophysics 52, 114-122.
Nettleton, L.L., 1976, Gravity and Magnetics in Oil Prospecting, McGraw-Hill Book Co., New York, pp. 462.
Odegard, M.E., and J.W. Berg, 1965, Gravity interpretation using the Fourier integral, Geophysics 30, 424-438.
Roy, A., 1962, Ambiguity in geophysical interpretation, Geophysics 27, 90-99.
Roy, L., B.N.P. Agarwal and R.K. Shaw, 2000, A new concept in Euler deconvolution of isolated gravity anomalies, Geophys. Prosp. 16, 77-93.
Shaw, R.K., and B.N.P. Agarwal, 1990, The application of Walsh transform to interpret gravity anomalies due to some simple geometrically shaped causative sources: A feasibility study, Geophysics 55, 843-850.
Thompson, D.T., 1982, EULDPH-a new technique for making computer-assisted depth estimates from magnetic data, Geophysics 47, 31-37.
Qute : Teisseyre, R. ,Pilchin, A.N. ,Bubnov, V.P. ,Bojdys, G. ,Essa, K.S. ,Essa, K.S. , A simple formula for shape and depth determination from residual gravity anomalies. Acta Geophysica Vol. 55, no. 2/2007