1887
  1. Home
  2. A-Z Publications
  3. Geophysical Prospecting
  4. Volume 54, Issue 2
  5. Article
Volume 54, Issue 2
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

The dominant upward‐continuation technique used in the potential‐field geophysics industry is the fast Fourier transform (FFT) technique. However, the spline‐based upward‐continuation technique presented in this paper has some advantages over the FFT technique. The spline technique can be used to carry out level‐to‐uneven surface 2D and 3D potential‐field upward continuation. An example of level‐to‐uneven surface upward continuation of 3D magnetic data using the spline technique is shown, and it is evident that the continued anomalies are very close to the theoretical values. The spacing can be irregular. Synthetic examples using the spline technique to continue noise‐contaminated gravity and magnetic data upward to an altitude of 15 km on irregular grids are shown. Gaussian noise with a zero mean and a standard deviation of 1% does not cause much error and can readily be tolerated. Through comparison with the FFT technique, it is found that for low‐altitude gravity and magnetic upward continuation, both the FFT technique and the spline technique are suitable; for high‐altitude upward continuation, the FFT technique is inaccurate, whereas the spline technique works very well. Also, upward continuation by the spline technique has a smaller edge effect than upward continuation by the FFT technique. The spline‐based upward continuation technique works fairly well even when the periphery of a grid is not quiet: it is rather robust in general. A real example shows that the spline technique can be employed to perform upward continuation of total‐field magnetic data and to de‐emphasize near‐surface noise.

Loading

Article metrics loading...

/content/journals/10.1111/j.1365-2478.2006.00526.x
2006-02-14
2024-04-28

  • From This Site

    /content/journals/10.1111/j.1365-2478.2006.00526.x
    dcterms_title,dcterms_subject,pub_keyword
    -contentType:Journal -contentType:Contributor -contentType:Concept -contentType:Institution
    10
    5
Loading full text...

Full text loading...

References

  1. BhattacharyyaB.K.1967. Some general properties of potential fields in space and frequency domain: a review. Geoexploration5, 127–143.
    [Google Scholar]
  2. BhattacharyyaB.K. and ChanK.C.1977. Reduction of magnetic and gravity data on an arbitrary surface acquired in a region of high topographic relief. Geophysics42, 1411–1430.
    [Google Scholar]
  3. BlakelyR.J.1996. Potential Theory in Gravity and Magnetic Applications . Cambridge University Press.
    [Google Scholar]
  4. ButtkusB.2000. Spectral Analysis and Filter Theory in Applied Geophysics . Springer Verlag, Inc.
    [Google Scholar]
  5. CordellL.1992. A scattered equivalent‐source method for interpolation and gridding of potential field data in three dimensions. Geophysics. 57, 629–636.
    [Google Scholar]
  6. CordellL., PhillipsJ.D. and GodsonR.H.1992. U.S. Geological Survey Potential‐. Field Software, Version 2.0, Open‐File Report92–18.
  7. DampneyC.N.G.1969. The equivalent source technique. Geophysics34, 39–53.
    [Google Scholar]
  8. EmiliaD.A.1973. Equivalent sources used as an analytic base for processing total magnetic field profiles. Geophysics38, 339–348.
    [Google Scholar]
  9. HansenR.O. and MiyazakiY.1984. Continuation of potential fields between arbitrary surfaces. Geophysics49, 787–795.
    [Google Scholar]
  10. HendersonR.G.1960. A comprehensive system of automatic computation in magnetic and gravity interpretation. Geophysics25, 569–585.
    [Google Scholar]
  11. HendersonR.G.1970. On the validity of the use of the upward continuation integral for total magnetic intensity data. Geophysics35, 916–919.
    [Google Scholar]
  12. HendersonR.G. and ZietzI.1949. The upward continuation of anomalies in total magnetic intensity fields. Geophysics14, 517–534.
    [Google Scholar]
  13. LiY. and QiD.1979. Spline Function Method (in Chinese). Science Press.
    [Google Scholar]
  14. McGrathP.H.1991a. Zero crossover – a Fortran program to determine the dip and extent of a geological boundary using horizontal derivatives of upward‐continued gravity data. Computers and Geosciences17, 1017–1031.
    [Google Scholar]
  15. McGrathP.H.1991b. Dip and depth extend of density boundaries using horizontal derivatives of upward‐continued gravity data. Geophysics56, 1533–1542.
    [Google Scholar]
  16. PilkingtonM. and UrquhartW.E.S.1990. Reduction of potential field data to a horizontal plane. Geophysics55, 449–455.
    [Google Scholar]
  17. RobinsonE.S.1970. Upward continuation of total intensity magnetic fields. Geophysics35, 920–926.
    [Google Scholar]
  18. TelfordW.M., GeldartL.P., SheriffR.E. and KeysD.A.1978. Applied Geophysics . Cambridge University Press.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/j.1365-2478.2006.00526.x
Loading
2D and 3D potential‐field upward continuation using splines
Geophysical Prospecting 54, 199 (2006); https://doi.org/10.1111/j.1365-2478.2006.00526.x
/content/journals/10.1111/j.1365-2478.2006.00526.x
/content/journals/10.1111/j.1365-2478.2006.00526.x
Loading

Data & Media loading...

  • Article Type: Research Article

Most Cited This Month Most Cited RSS feed

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