1887
Volume 40 Number 2
  • E-ISSN: 1365-2478

Abstract

A

Gravity and magnetic data have been inverted to obtain the continuous lower surface of a 2.5 dimensional sedimentary basin. The non‐linear problem is linearized and a solution is calculated through a recursive process until the predicted data matches the observed data. An average model is then calculated and a resolution analysis shows which features are uniquely determined. The results of individual inversion indicate that a final solution is initial model dependent but the average models are independent of the initial model except at the margins. The average model for the magnetic solutions have uniformly smaller spreads than the gravity solutions.

The algorithms were applied to data from the Sanford Basin in North Carolina. The results indicate that the basin is asymmetrical in shape with a maximum depth of 3.2 km. Comparing these results with those obtained from a generalized linear inverse (GLI) algorithm indicate that the higher‐frequency features determined from the GLI algorithm are not resolved.

Loading

Article metrics loading...

/content/journals/10.1111/j.1365-2478.1992.tb00370.x
2006-04-27
2020-04-06
Loading full text...

Full text loading...

References

  1. Anderson, R.E., Zoback, M.L. and Thompson, G.A.1983. Implications of selected subsurface data on the structural form and evolution of some basins in the northern Basin and Range province, Nevada and Utah. Bulletin of the Geological Society of America94, 1055–1072.
    [Google Scholar]
  2. Backus, G.E. and Gilbert, F.J.1967. Numerical applications of a formalism for geophysical inverse problems. Geophysical Journal of the Royal Astronomical Society13, 247–276.
    [Google Scholar]
  3. Backus, G. and Gilbert, F.1968. The resolving power of gross earth data. Geophysical Journal of the Royal Astronomical Society16, 169–205.
    [Google Scholar]
  4. Backus, G. and Gilbert, F.1970. Uniqueness in the inversion of inaccurate gross earth data. Philosophical Transactions of the Royal of LondonA226, 123–192.
    [Google Scholar]
  5. Bain, G.L. and Brown, C.E.1981. Evaluation of the subsurface Durham Triassic basin of North Carolina and techniques used to characterize its waste storage potential. United States Geological Survey Open‐File Report80–1295.
  6. Cady, J.W.1980. Calculation of gravity and magnetic anomalies due to finite length right polygonal prisms. Geophysics45, 1507–1512.
    [Google Scholar]
  7. Forsythe, G.E., Malcolm, M.A. and Moler, C.B.1977. Computer Methods for Mathematical Computations. Prentice‐Hall Inc.
    [Google Scholar]
  8. Granser, H.1987. Nonlinear inversion of gravity data using the Schmidt‐Lichtenstein approach. Geophysics52, 88–93.
    [Google Scholar]
  9. Grant, F. and West, G.1965. Interpretation Theory in Applied Geophysics. McGraw‐Hill Book Co.
    [Google Scholar]
  10. Green, W.R.1975. Inversion of gravity profiles by use of a Backus‐Gilbert approach. Geophysics40, 763–772.
    [Google Scholar]
  11. Hong, M.R.1982. The inversion of magnetic and gravity anomalies and the depth to Curie isotherm . Ph.D. thesis, University of Texas at Dallas.
  12. Jackson, D.D.1972. Interpretation of inaccurate, insufficient and inconsistent data. Geophysical Journal of the Royal Astronomical Society28, 97–110.
    [Google Scholar]
  13. Lai, S.F.1984. Generalized linear inversion of 2.5‐dimensional gravity and magnetic anomalies . Ph.D. thesis, University of Texas at Dallas.
  14. Mann, V.I., and Zablocki, F.S.1961. Gravity features of the Deep River‐Wadesboro Triassic basin of North Carolina. Southeastern Geology2, 191–216.
    [Google Scholar]
  15. Manspeizer, W.1988. Triassic‐Jurassic rifting and opening of the Atlantic: an overview. In: Triassic‐Jurassic Rifting, Continental Breakup and the Origin of the Atlantic Ocean and Passive Margins. W.Manspeizer (ed.), 401–421. Elsevier Science Publishing Co.
    [Google Scholar]
  16. Mickus, K.L.1989. Backus and Gilbert inversion of two and one‐half dimensional gravity and magnetic anomalies and crustal structure studies in western Arizona and the eastern Mojave desert, California . Ph.D. thesis, University of Texas at El Paso.
  17. Mickus, K.L. and Peeples, W.J.1989. Backus and Gilbert inversion of two and one‐half gravity and magnetic anomalies with application to Curie isothermal depth determinations. 59th SEG meeting, Dallas, Expanded Abstracts, 323–325.
  18. Oldenburg, D.W.1974. The inversion and interpretation of gravity anomalies. Geophysics39, 526–536.
    [Google Scholar]
  19. Oldenburg, D.W.1978. The interpretation of direct current resistivity measurements. Geophysics43, 610–625.
    [Google Scholar]
  20. Parker, R.L.1970. The inverse problem of electrical conductivity in the mantle. Geophysical Journal of the Royal Astronomical Society22, 121–138.
    [Google Scholar]
  21. Parker, R.L.1973. The rapid calculation of potential anomalies. Geophysical Journal of the Royal Astronomical Society31, 447–455.
    [Google Scholar]
  22. Parker, R.L.1977. Understanding inverse theory. Annual Reviews of Earth and Planetary Sciences5, 35–64.
    [Google Scholar]
  23. Pedersen, L.B.1977. Interpretation of potential field data–‐A generalized inverse approach. Geophysical Prospecting25, 199–230.
    [Google Scholar]
  24. Rasmussen, R. and Pedersen, L.B.1979. End corrections in potential modelling. Geophysical Prospecting27, 749–760.
    [Google Scholar]
  25. Reinemund, J.A.1955. Geology of the Deep River coal field, North Carolina. United States Geological Survey Professional Paper 246.
  26. Shuey, R.T. and Pasquale, A.S.1972. End correction in magnetic profile interpretation. Geophysics38, 507–512.
    [Google Scholar]
  27. Stewart, J.H.1978. Basin and Range structure in western North America–‐A review. In: Cenozoic Tectonics and Regional Geophysics of the Western Cordillera. R.B.Smith and G.P.Eaton (eds), Memoir 152, 1–31. Geological Society of America.
    [Google Scholar]
  28. Taylor, A.E. and Mann, W.R.1972. Advanced Calculus, 2nd edn.John Wiley & Sons, Inc.
    [Google Scholar]
  29. Vozoff, K. and Jupp, D.L.1975. Joint inversion of geophysical data. Geophysical Journal of the Royal Astronomical Society42, 977–991.
    [Google Scholar]
  30. Wiggins, R.A.1972. The general linear inverse problem: Implication of surface waves and free oscillations for earth structure. Review of Geophysics and Space Physics10, 251–285.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/j.1365-2478.1992.tb00370.x
Loading
  • Article Type: Research Article
This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error