1887
Volume 42 Number 5
  • E-ISSN: 1365-2478

Abstract

Abstract

An equivalent source procedure is derived for upward continuation of unevenly spaced gravity and magnetic data. The dipole layer is placed on a topographic relief approximated by a polyhedral surface, the stations being the vertices of the triangular faces. The dipoles have linear magnitudes, being directed along the normal vector over each triangle. The unknown values of the dipole magnitudes at each station are obtained by a suitable modification of the usual integral equation considering the discontinuity of the normal vector at each vertex of the dipole surface. Profile data processing is also studied. A numerical test outlines the accuracy and the limitations of the model for the case of a magnetic field significantly perturbed by a rough topographic relief.

Loading

Article metrics loading...

/content/journals/10.1111/j.1365-2478.1994.tb00217.x
2006-04-27
2024-03-29
Loading full text...

Full text loading...

References

  1. 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. See also discussion by Courtillot V., Ducruix J. and Le Mouel J.L. 1978. Geophysics 43, 1274–1275.
    [Google Scholar]
  2. DampneyC.N.G.1969. The equivalent source technique. Geophysics34, 39–53.
    [Google Scholar]
  3. DucruixJ., LeMouelJ.L. and CourtillotV.1974. Continuation of three‐dimensional potential fields measured on an uneven surface. Geophysical Journal of the Royal Astronomical Society38, 299–314.
    [Google Scholar]
  4. EmiliaD.A.1973. Equivalent sources used as an analytic base for processing total magnetic field profiles. Geophysics38, 339–348.
    [Google Scholar]
  5. HansenR.O. and MiyazakiY.1984. Continuation of potential fields between arbitrary surfaces. Geophysics49, 787–795.
    [Google Scholar]
  6. HendersonR.G. and CordellL.1971. Reduction of unevenly spaced potential field data to a horizontal plane by means of finite harmonic series. Geophysics36, 856–866.
    [Google Scholar]
  7. IvanM.1986a. On the upward continuation of potential field data between irregular surfaces. Geophysical Prospecting34, 735–742.
    [Google Scholar]
  8. IvanM.1986b. Upward continuation of unevenly spaced potential field data using equivalent sources. Geophysical Transactions32, 31–42.
    [Google Scholar]
  9. IvanM.1990. Improved algorithms for 2‐D gravity and magnetic data modelling, Revue Roumaine de Geophysique34, 49–54.
    [Google Scholar]
  10. KellogO.D.1953. Foundation of Potential Theory. Dover Publications Inc.
    [Google Scholar]
  11. LovittW.V.1950. Linear Integral Equations. Dover Publications Inc.
    [Google Scholar]
  12. NakatsukaT.1981. Reduction of magnetic anomalies to and from an arbitrary surface. Butsuri-Tanko34, 6–12.
    [Google Scholar]
  13. ParkerR.L. and KlitgordK.D.1972. Magnetic upward continuation from an uneven track. Geophysics37, 662–668.
    [Google Scholar]
  14. PohankaV.1988. Optimum expression for computation of the gravity field of a homogeneous polyhedral body. Geophysical Prospecting36, 733–751. See also comment by Ivan M. 1990. Geophysical Prospecting 38, 331–332.
    [Google Scholar]
  15. StarcevicM.1985. Analysis of the methods of reduction of the Bouguer anomaly to a horizontal plane and its application in regions of rugged topography . Ph.D. thesis, University of Belgrade, Belgrade.
  16. SybergF.J.R.1972. Potential field continuation between general surfaces. Geophysical Prospecting20, 267–282. See also comment by Granser H. 1983. Geophysical Prospecting 31, 992–994.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/j.1365-2478.1994.tb00217.x
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