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The inverse gravimetry problem: An application to the northern San Francisco craton granite

  • L. Misici
  • F. Zirilli
Contributed Papers

Abstract

From the knowledge of the anomalies of the gravitational field, we reconstruct the mass density distribution in a large region of the state of Bahia (Brazil). This inverse gravimetry problem has been translated into a linear programming problem and solved using the simplex method. Both two-dimensional and three-dimensional models have been considered.

Key Words

Inverse gravimetry problem linear programming 

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References

  1. 1.
    Gelfand, I. M., andLevitan, B. M.,On the Determination of a Differential Equation from Its Spectral Function, American Mathematical Society Translations, pp. 253–304, 1955.Google Scholar
  2. 2.
    Protter, M. H.,Can You Hear the Shape of a Drum? Revisited, SIAM Review, Vol. 29, pp. 185–199, 1987.Google Scholar
  3. 3.
    Richard, V., Baier, R., andCuer, M.,An Attempt to Formulate Well-Posed Questions in Gravity: Application of Linear Inverse Techniques to Mining Exploration, Geophysics, Vol. 49, pp. 1781–1793, 1984.Google Scholar
  4. 4.
    Safon, C., Vasseur, G., andCuer, M.,Some Applications of Linear Programming to the Inverse Gravity Problem, Geophysics, Vol. 42, pp. 1215–1229, 1977.Google Scholar
  5. 5.
    Cuer, M.,Des Questions Bien Posées dans des Problèmes Inverse de Gravimetrie et Geomagnetisme: Une Nouvelle Application de la Programmation Lineaire, Université des Sciences et Techniques du Languedoc, Montpellier, France, Thesis, 1984.Google Scholar
  6. 6.
    Ussami, N., andBott, M. H. P.,A Gravity Study of the Northern San Francisco Craton Granite (Brazil), Revista Brasileira de Geociências, Vol. 19, pp. 170–176, 1989.Google Scholar
  7. 7.
    Motta, A. C., Gomes, R. A., Delgado, I. M., Siqueira, L. P., andPedreira, A. J., FeiÇões Gravimétricas e Magnéticas do Craton do São Francisco, Anais do Simpósio sobre o Craton do São Francisco e Suas Faixas Marginais, Edited by J. F. Mascarenhas, SBG/CPM, Salvador, Bahia, Brazil, pp. 18–20, 1981.Google Scholar
  8. 8.
    Courant, R., andHilbert, D.,Methods of Mathematical Physics, Vol. 2, Chapter 4, Interscience Publishers, New York, New York, 1962.Google Scholar
  9. 9.
    Bott, M. H. P., andSmith, R. A.,The Estimation of the Limiting Depth of Gravitating Bodies, Geophysical Prospecting., Vol. 6, pp. 1–10, 1958.Google Scholar
  10. 10.
    Cuer, M., andBayer R.,Fortran Routines for Linear Inverse Problems, Geophysics, Vol. 45, pp. 1706–1719, 1980.Google Scholar

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • L. Misici
    • 1
  • F. Zirilli
    • 2
  1. 1.Dipartimento di Matematica e FisicaUniversità di CamerinoCamerino, MarcheItaly
  2. 2.Dipartimento di Matematica G. CastelnuovoUniversità di Roma-La SapienzaRomeItaly

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