1887
Volume 57, Issue 5
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

This paper presents the theory to eliminate from the recorded multi‐component source, multi‐component receiver marine electromagnetic measurements the effect of the physical source radiation pattern and the scattering response of the water‐layer. The multi‐component sources are assumed to be orthogonally aligned above the receivers at the seabottom. Other than the position of the sources, no source characteristics are required. The integral equation method, which for short is denoted by Lorentz water‐layer elimination, follows from Lorentz' reciprocity theorem. It requires information only of the electromagnetic parameters at the receiver level to decompose the electromagnetic measurements into upgoing and downgoing constituents. Lorentz water‐layer elimination replaces the water layer with a homogeneous half‐space with properties equal to those of the sea‐bed. The source is redatumed to the receiver depth.

When the subsurface is arbitrary anisotropic but horizontally layered, the Lorentz water‐layer elimination scheme greatly simplifies and can be implemented as deterministic multi‐component source, multi‐component receiver multidimensional deconvolution of common source gathers. The Lorentz deconvolved data can be further decomposed into scattering responses that would be recorded from idealized transverse electric and transverse magnetic mode sources and receivers. This combined electromagnetic field decomposition on the source and receiver side gives data equivalent to data from a hypothetical survey with the water‐layer absent, with idealized single component transverse electric and transverse magnetic mode sources and idealized single component transverse electric and transverse magnetic mode receivers.

When the subsurface is isotropic or transverse isotropic and horizontally layered, the Lorentz deconvolution decouples into pure transverse electric and transverse magnetic mode data processing problems, where a scalar field formulation of the multidimensional Lorentz deconvolution is sufficient. In this case single‐component source data are sufficient to eliminate the water‐layer effect.

We demonstrate the Lorentz deconvolution by using numerically modeled data over a simple isotropic layered model illustrating controlled‐source electromagnetic hydrocarbon exploration. In shallow water there is a decrease in controlled‐source electromagnetic sensitivity to thin resistors at depth. The Lorentz deconvolution scheme is designed to overcome this effect by eliminating the water‐layer scattering, including the field's interaction with air.

Loading

Article metrics loading...

/content/journals/10.1111/j.1365-2478.2008.00758.x
2008-12-15
2024-04-29
Loading full text...

Full text loading...

References

  1. AmundsenL.2001. Elimination of free‐surface related multiples without need of the source wavelet. Geophysics66, 327–341.
    [Google Scholar]
  2. AmundsenL. and HolvikE.2004. Processing electromagnetic data. UK patent application GB2415511.
  3. AmundsenL., Ikelle, L.T. and BergL.E.2001. Multidimensional signature deconvolution and free‐surface multiple elimination of marine multicomponent ocean‐bottom seismic data. Geophysics66, 1594–1604.
    [Google Scholar]
  4. AmundsenL., LøsethL., MittetR., EllingsrudS. and UrsinB.2006. Decomposition of electromagnetic fields into upgoing and downgoing components. Geophysics71, G211–G223.
    [Google Scholar]
  5. BettiE.1872. Teoria délia élasticité. Il Nuovo Cimento.
  6. ChaveA.D., ConstableS.C. and EdwardsR.N.1991. Electrical exploration methods for the seafloor. In: Electromagnetic Methods in Applied Geophysics (ed. M.N.Nabighian ), pp. 931–966. SEG . ISBN 1560800224.
    [Google Scholar]
  7. ChaveA.D. and CoxC.S.1982. Controlled electromagnetic sources for measuring electrical conductivity beneath the oceans. 1. Forward problem and model study. Journal Geophysical Research87, 5327–5338.
    [Google Scholar]
  8. CheesmanS.J., EdwardsR.N. and ChaveA.D.1987. On the theory of sea‐floor conductivity mapping using transient electromagnetic systems. Geophysics52, 204–217.
    [Google Scholar]
  9. De HoopA.T.1995. Handbook of Radiation and Scattering of Waves . Academic Press. ISBN 0122086554.
    [Google Scholar]
  10. EidesmoT., EllingsrudS., MacGregorL.M., ConstableS., SinhaM.C., JohansenS., KongF.N. and WesterdahlH.2002. Sea bed logging (SBL), a new method for remote and direct identification ofhydrocarbon filled layers in deepwater areas. First Break20, 144–152.
    [Google Scholar]
  11. EllingsrudS., EidesmoT., JohansenS., SinhaM.C., MacGregorL.M. and ConstableS.2002. Remote sensing of hydrocarbon layers by sea bed logging (SBL): results from a cruise offshore Angola. The Leading Edge21, 972–982.
    [Google Scholar]
  12. FokkemaJ.T. and Van Den BergP.M.1993. Seismic Applications of Acoustic Reciprocity . Elsevier Science. ISBN 0444890440.
    [Google Scholar]
  13. GriffithsD.J.1999. Introduction to Electrodynamics . Prentice Hall. ISBN 013805326X.
    [Google Scholar]
  14. HolvikE.2003. Betti designature and elastic demultiple of multicomponent seismic data . PhD thesis, The Norwegian University of Science and Technology .
  15. HolvikE. and AmundsenL.2005. Elimination of the overburden response from multicomponent source, multicomponent receiver data, with source designature and decomposition into PP, PS, SP, and SS wave responses. Geophysics70, S43–S59.
    [Google Scholar]
  16. IkelleL.T. and AmundsenL.2005. Introduction to Petroleum Seismology. SEG. ISBN 1560801298.
    [Google Scholar]
  17. LøsethL.2007. Modeling of marine controlled source electromagnetic data . PhD thesis, The Norwegian University of Science and Technology .
  18. LøsethL., PedersenH.M., UrsinB., AmundsenL. and EllingsrudS.2006. Low‐frequency electromagnetic fields in applied geophysics: waves or diffusion?Geophysics71, W29–W40.
    [Google Scholar]
  19. LøsethL. and UrsinB.2007. Electromagnetic fields in planarly layered anisotropic media. Geophysical Journal International170, 44–80.
    [Google Scholar]
  20. Morse, P.M. and FeshbachH.1953. Methods of Theoretical Physics . McGraw‐Hill. ISBN 0070433178.
    [Google Scholar]
  21. MüllerC.1969. Foundations of the Mathematical Theory of Electromagnetic Waves . Springer. ISBN 0387045066.
    [Google Scholar]
  22. NordskagJ.I. and AmundsenL.2007. Asymptotic airwave modeling for marine‐controlled source electromagnetic surveying. Geophysics72, F249–F255.
    [Google Scholar]
  23. RayleighL.1873. Some general theorems relating to vibrations. Proceedings of the London Mathematical Society 4, 357–368.
  24. UrsinB.1983. Review of elastic and electromagnetic wave propagation in layered media. Geophysics48, 1063–1081.
    [Google Scholar]
  25. Van Der KrukJ.1993. Removal of surface related wave phenomena in electromagnetic prospecting. Technical Report no. Et/EM 1993‐39, Delft University of Technology .
  26. WapenaarC.P.A., FokkemaJ., DillenM. and ScherpenhuijsenP.2000. One‐way acoustic reciprocity and its applications in multiple elimination and time‐lapse seismics. 70th SEG meeting, Calgary, Canada , Expanded Abstracts, 2377–2380.
    [Google Scholar]
  27. WapenaarC.P.A., SlobE. and SniederR.2008. Seismic and electromagnetic controlled‐source interferometry in dissipative media. Geophysical Prospecting56, 419–434. doi:DOI: 10.1111/j.1365-2478.2007.00686.x
    [Google Scholar]
  28. WapenaarC.P.A. and VerschuurD.J.1996. Processing of Ocean Bottom Data: The Dolphin Project , Volume I. Delft University of Technology.
  29. WardS.H. and HohmannG.W.1988. Electromagnetic theory for geophysical applications. In: Electromagnetic Methods in Applied Geophysics (ed. M.N. Nabighian), pp. 131–312. SEG . ISBN 0931830516.
    [Google Scholar]
  30. ZiolkowskiA., TaylorD.B. and JohnstonR.G.K.1999. Marine seismic wavefield measurement to remove sea surface multiples. Geophysical Prospecting47, 841–870. doi:DOI: 10.1046/j.1365-2478.1999.00165.x
    [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/j.1365-2478.2008.00758.x
Loading
/content/journals/10.1111/j.1365-2478.2008.00758.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