Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Calculation of the second vertical derivative of gravity field

  • 331 Accesses

  • 10 Citations


Two formulas, using Taylor's series expansion method, have been developed by means of which the second vertical derivative of gravity field may be computed at any point in the horizontal plane of observation. A comparative study of the resolving powers of different approaches by performing numerical and filter response tests suggests that the formulas provide a definite improvement over many existing methods.

This is a preview of subscription content, log in to check access.


  1. [1]

    H. M. Evjen,The place of the vertical gradient in gravity interpretation, Geophysics1 (1936), 127.

  2. [2]

    L. J. Peters,The direct approach to magnetic interpretation and its practical application, Geophysics14 (1949), 290.

  3. [3]

    R. G. Henderson andI. Zietz,The computation of second vertical derivatives of geomagnetic fields, Geophysics14 (1949), 508.

  4. [4]

    T. A. Elkins,The second derivative method of gravity interpretation, Geophysics16 (1951), 29.

  5. [5]

    O. Rosenbach,A contribution to the computation of the second derivative from gravity data, Geophysics16 (1953), 894.

  6. [6]

    R. G. Henderson,A comprehensive system of automatic computation in magnetic and gravity interpretation, Geophysics25 (1960), 569.

  7. [7]

    L. L. Nettleton,Regionals, residuals and structures, Geophysics19 (1954), 1.

  8. [8]

    W. G. Bickley,Finite difference formulae for square lattices, Quart. J. Mech. Applied Math.1 (1948), 35.

  9. [9]

    C. A. Swartz,Some geometrical properties of regional maps, Geophysics19 (1954), 46.

  10. [10]

    W. C. Dean,Frequency analysis for gravity and magnetic interpretation, Geophysics23 (1958), 97.

  11. [11]

    A. Mesko,Some notes concerning the frequency analysis for gravity interpretation, Geophysical Prospecting13 (1965), 475.

  12. [12]

    A. Mesko,Two dimensional filtering and second derivative method, Geophysics31 (1966), 606.

  13. [13]

    P. E. Byerly,Convolution filtering of gravity and magnetic maps, Geophysics30 (1965), 281.

  14. [14]

    E. K. Darby andE. B. Davies,The analysis and design of two dimensional filters for two dimensional data, Geophysical Prospecting15 (1967), 383.

  15. [15]

    J. G. Negi,Convergence and divergence in gravity and magnetic interpretation, Nature210 (1965), 616.

Download references

Author information

Additional information

NGRI Contribution No. 69-130.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Agarwal, B.N.P., Lal, T. Calculation of the second vertical derivative of gravity field. PAGEOPH 76, 5–16 (1969). https://doi.org/10.1007/BF00877833

Download citation


  • Series Expansion
  • Horizontal Plane
  • Gravity Field
  • Expansion Method
  • Response Test