Backus-Gilbert inversion of potential field data in the frequency domain and its application to real and synthetic data
Contenido principal del artículo
Resumen
Se presenta un algoritmo para la inversión de datos del campo potencial en el dominio de las frecuencias utilizando la transformación de Backus-Gilbert. Se describe uno de los problemas fundamentales en todo proceso de interpretación geofísica como es la solución del problema directo y del problema in verso. La comparación de los resultados en el dominio del espacio y de las frecuencias muestra las ventajas del algoritmo aquí presentado. Se demuestra la efectividad del algoritmo solucionando tareas de geofísica ambiental como la detección de depósitos antiguos de desechos industriales. Esta técnica interpretativa es aplicable también a la interpretación de investigaciones geofísicas en sitios arqueológicos.
Publication Facts
Reviewer profiles N/D
Author statements
- Academic society
- Geofísica Internacional
Detalles del artículo

Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial-CompartirIgual 4.0.
Citas
ARNAUD GERKENS, J. C. d', 1989. Foundations of Exploration Geophysics. Elsevier, Amsterdam.
BACKUS, G. E. and J. F. GILBERT, 1967. Numerical application of a formalism for geophysical inverse problems. Geophys. J. R. Astr. Soc.13, 247-276. DOI: https://doi.org/10.1111/j.1365-246X.1967.tb02159.x
BALLANI, L. and D. STROMEYER, 1983. The inverse gravimetric problem. A Hilbert space approach. Proceedings of "Figure of the Earth, the Moon and other Planets", 20-25. September 1982, Prag, 357-373.
BRACEWELL, R., 1965. The Fourier transform and its applications. McGraw-Hill, New York.
CHAVEZ, R. E. and G. D. GARLAND, 1983. On the application of inverse theory to gravity interpretation. Geophys. Prosp. 31, 119-130. DOI: https://doi.org/10.1111/j.1365-2478.1983.tb01045.x
DZIEWONSKI, A. M. and D. L. ANDERSON, 1981. Preliminary reference Earth model. Phys. Earth Planet. Inter. 25, 297. DOI: https://doi.org/10.1016/0031-9201(81)90046-7
ELLIOT, D. F. (ED.), 1987. Handbook of digital signal processing, Engineering applications. Academic Press, London.
GRANT, F. S. and G. F. WEST, 1965. Interpretation Theory in Applied Geophysics. McGraw-Hill, New York.
GREEN, W. R., 1975. Inversion of gravity profiles by use of a Backus-Gilbert approach. Geophysics, 40, 763-772. DOI: https://doi.org/10.1190/1.1440566
GUILLEN, A. and V. MENICHETTI, 1984. Gravity and magnetic inversion with minimization of a specific functional. Geophysics, 49, 1354-1360. DOI: https://doi.org/10.1190/1.1441761
GUNN, P. J., 1975. Linear transformations of gravity and magnetic fields. Geophys. Prosp. 23, 300-312. DOI: https://doi.org/10.1111/j.1365-2478.1975.tb01530.x
KAROUSOVA, O. and M. KAROUS, 1989. Deconvolution of ∆T profile curves. Unpublished paper presented to International Sysmposium on Computer Applications and Quatitative Methods in Archeology, University of York and York Archeological Authorities, York, U. K.
LAST, B. J. and K. KUBIK, 1983. Compact gravity inversion. Geophysics, 48, 713-721. DOI: https://doi.org/10.1190/1.1441501
KIS, K., 1976. Application of inverse filtering in the interpretation of gravity and magnetic anomalies. Proceedings of the 21st Geophysical Symposium, September 14-17, 1976, Leipzig, 522-537.
MATYSKA, C., 1987. The inverse gravimetric problem: existence, uniqueness and stability of the solution. Studia geophysica et geodaetica, 31, 252-257. DOI: https://doi.org/10.1007/BF01624756
MARTINEC. and K. PEC, 1990. The influence of the core-mantle boundary on the mass density distribution inside the Earth. In: Vogel A., Ofoegbu Ch. O., Gorenflo R., Ursin B. (Eds). Geophysical data inversion methods and applications. Vieweg, Braunschweig. DOI: https://doi.org/10.1007/978-3-322-89416-8_15
MAURITSCH, H. J. and G. WALACH, 1990. Concepts, methods and examples of environmental geophysics (in german). Unpublished paper presented to Symposium of the German Geophysical Society, Leoben, Austria.
MENKE, W., 1989. Geophysical data analysis. Discrete inverse theorie. Academic Press, London.
MOTTL, J. and L. MOTTLOV A, 1972. Solution of the inverse gravity problem with the aid of integer linear programming. Geoexploration 10, 53-62. DOI: https://doi.org/10.1016/0016-7142(72)90013-0
PARKER, R. L., 1971. The Backus-Gilbert method for inverse problems. Unpublished paper presented to European Earth and Planetary Physics Colloquium, Reading, England.
PEC, K. and Z. MARTINEC, 1984. Constraints to the three-dimensional non-hydrostatic density distribution in the Earth. Stuida geophysica et geodaetica 28, 364-379. DOI: https://doi.org/10.1007/BF01642990
SAFON, C., G. VASSEUR and M. CUER, 1977. Some applications of linear programming to the inverse gravity problem. Geophysics, 42, 1215-1229. DOI: https://doi.org/10.1190/1.1440786
SANSÓ, F., R. BARZAGHI and C. C. TSCHERNING, 1986. Choice of norm for the density distribution of the Earth. Geoph. J. R. Astr. Soc. 87, 123. DOI: https://doi.org/10.1111/j.1365-246X.1986.tb04550.x
TARANTOLA, A., 1987. Inverse Problem Theory. Elsevier, Amsterdam.
TSOKAS, G. N. and C. B. PAPAZACHOS, 1992. Two-dimensional inversion filters in magnetic prospecting. Application to the exploration for buried antiquites. Geophysics, 57, 1004-1013. DOI: https://doi.org/10.1190/1.1443311