Bulletin Géodésique (1946-1975)

, Volume 116, Issue 1, pp 183–198 | Cite as

Application of collocation for the planning of gravity surveys

  • C. C. Tscherning
Article
First Online:

Abstract

Least squares collocation can be used to determine the density of a gravity survey, when the object of the survey is:
  1. 1.

    To produce a (free-air) gravity anomaly map, so that point gravity anomaly values can be interpolated with a standard error of ±X1 mgal,

     
  2. 2.

    To interpolate deflections of the vertical with a standard error of ±X2 arc. sec. between astronomical stations Z km apart,

     
  3. 3.

    To compute an upward continuation of a point gravity anomaly to a height of Z meters with a standard error of ±X3 mgal,

     
  4. 4.

    To compute mean gravity anomalies of block size Z degrees with a standard error of ±X4 mgal,

     
  5. 5.

    To obtain a (local) gravimetric geoid with a standard error of ±X5 meters,

     
  6. 6.

    To compute density anomalies at a depth of Z km with a standard error of ±X6 g/cm3.

     
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References

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Copyright information

© Bureau Central de L’Association Internationale de Géodésie 1975

Authors and Affiliations

  • C. C. Tscherning
    • 1
  1. 1.Geodaetisk InstitutKøbenhavn

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