1887
Volume 65, Issue 5
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

Due to its simplicity, stability, and efficiency, the use of right rectangular prisms is still widespread for potential field modelling and inversion. It is well known that modelling the subsurface with Cartesian grids has important consequences in terms of accuracy of the results. In this paper, we review the main issues that geophysicists face in day‐to‐day work when trying to use right rectangular prisms for performing gravity or full tensor gravity modelling and inversions. We demonstrate the results both theoretically and through Monte Carlo simulations, also exploiting concepts from fractal geometry. We believe that the guidelines contained in this paper may suggest a good practice for the day‐to‐day work of geophysicists dealing with gravity and full tensor gravity data.

Loading

Article metrics loading...

/content/journals/10.1111/1365-2478.12468
2016-10-17
2020-05-28
Loading full text...

Full text loading...

References

  1. AddisonP.S.1997. Fractals and Chaos: An illustrated course. CRC Press.
    [Google Scholar]
  2. BarnesG. and LumleyJ.2011. Processing gravity gradient data. Geophysics76, I33–I47.
    [Google Scholar]
  3. BhattacharyyaB.K. and LeuL.K.1977. Spectral analysis of gravity and magnetic anomalies due to rectangular prismatic bodies. Geophysics42, 41–50.
    [Google Scholar]
  4. BlakelyR.J.1996. Potential Theory in Gravity and Magnetic Applications. Cambridge University Press.
    [Google Scholar]
  5. DampneyC.N.G.1969. The equivalent source technique. Geophysics34, 39–53.
    [Google Scholar]
  6. De StefanoM.2016. Simulating geophysical models through fractal algorithms. 78th EAGE Conference and Exhibition, EAGE, Extended Abstracts.
  7. De StefanoM., Golfré AndreasiF., ReS., VirgilioM. and SnyderF.F.2011. Multiple‐domain, simultaneous joint inversion of geophysical data with application to subsalt imaging. Geophysics76, R69–R80.
    [Google Scholar]
  8. FournierA., FussellD. and CarpenterL.1982. Computer rendering of stochastic models. Communications of the ACM25, 371–384.
    [Google Scholar]
  9. GunnP.J.1975. Linear transformations of gravity and magnetic fields. Geophysical Prospecting23, 300–312.
    [Google Scholar]
  10. HolsteinH.2002a. Gravimagnetic similarity in anomaly formulas for uniform polyhedra. Geophysics67, 1126–1133.
    [Google Scholar]
  11. HolsteinH.2002b. Invariance in gravimagnetic anomaly formulas for uniform polyhedra. Geophysics67, 1134–1137.
    [Google Scholar]
  12. HolsteinH., FitzgeraldD. and StefanovH.2013. Gravimagnetic similarity for homogeneous rectangular prisms. 75th EAGE Conference and Exhibition, EAGE, Extended Abstracts.
  13. IvanM.1996. Optimum expression for computation of the magnetic field of a homogeneous polyhedral body. Geophysical Prospecting44, 279–288.
    [Google Scholar]
  14. JahandariH. and FarquharsonC.G.2013. Forward modeling of gravity data using finite‐volume and finite‐element methods on unstructured grids. Geophysics78, G69–G80.
    [Google Scholar]
  15. MausS. and DimriV.P.1994. Scaling properties of potential fields due to scaling sources. Geophysical Research Letters21, 891–894.
    [Google Scholar]
  16. MayD.A. and KnepleyM.G.2011. Optimal, scalable forward models for computing gravity anomalies. Geophysical Journal International187, 161–177.
    [Google Scholar]
  17. OkabeM.1979. Analytical expressions for gravity anomalies due to homogeneous polyhedral bodies and translations into magnetic anomalies. Geophysics44, 730–741.
    [Google Scholar]
  18. PilkingtonM. and TodoeschuckJ.P.2004. Power‐law scaling behavior of crustal density and gravity. Geophysical Research Letters31.
    [Google Scholar]
  19. ProakisJ.G. and ManolakisD.G.1996. Digital Signal Processing. Prentice‐Hall International, Inc.
    [Google Scholar]
  20. StrakhovV., LapinaM. and YefimovA.1986. A solution to forward problems in gravity and magnetism with new analytical expressions for the field elements of standard approximating bodies. Izvestiya: Earth Sciences22, 471–482.
    [Google Scholar]
  21. TsoulisD.2012. Analytical computation of the full gravity tensor of a homogeneous arbitrarily shaped polyhedral source using line integrals. Geophysics77, F1–F11.
    [Google Scholar]
  22. TurcotteD.1997. Fractals and Chaos in Geology and Geophysics. Cambridge University Press.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/1365-2478.12468
Loading
/content/journals/10.1111/1365-2478.12468
Loading

Data & Media loading...

  • Article Type: Research Article
Keyword(s): Fractals , FTG , Gravity , Magnetic , Magnetics , Potential field and Prism
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