Skip to main content
Log in

Self-Constrained Euler Deconvolution Using Potential Field Data of Different Altitudes

  • Published:
Pure and Applied Geophysics Aims and scope Submit manuscript

Abstract

Euler deconvolution has been developed as almost the most common tool in potential field data semi-automatic interpretation. The structural index (SI) is a main determining factor of the quality of depth estimation. In this paper, we first present an improved Euler deconvolution method to eliminate the influence of SI using potential field data of different altitudes. The different altitudes data can be obtained by the upward continuation or can be directly obtained by the airborne measurement realization. Euler deconvolution at different altitudes of a certain range has very similar calculation equation. Therefore, the ratio of Euler equations of two different altitudes can be calculated to discard the SI. Thus, the depth and location of geologic source can be directly calculated using the improved Euler deconvolution without any prior information. Particularly, the noise influence can be decreased using the upward continuation of different altitudes. The new method is called self-constrained Euler deconvolution (SED). Subsequently, based on the SED algorithm, we deduce the full tensor gradient (FTG) calculation form of the new improved method. As we all know, using multi-components data of FTG have added advantages in data interpretation. The FTG form is composed by x-, y- and z-directional components. Due to the using more components, the FTG form can get more accurate results and more information in detail. The proposed modification method is tested using different synthetic models, and the satisfactory results are obtained. Finally, we applied the new approach to Bishop model magnetic data and real gravity data. All the results demonstrate that the new approach is utility tool to interpret the potential field and full tensor gradient data.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

References

  • Davis K., Li Y. (2009), Enhancement of depth estimation techniques with amplitude analysis, SEG Annual Meeting. Society of Exploration Geophysicists, 2009.

  • Fairhead, J. D., Williams S. E., and Flanagan G. (2004), Testing magnetic local wavenumber depth estimation methods using a complex 3D test model, 74th Annual International Meeting, SEG Expanded Abstracts, 742–745.

  • Fedi, M. (2007), DEXP: a fast method to determine the depth and the structural index of potential fields sources, Geophysics, 72, I1–I11.

  • Fedi, M., Florio, G. & Quarta, T. (2009), Multriridge analysis of potential fields: geometrical method and reduced Euler deconvolution, Geophysics, &4, L53–L65.

  • Fedi, M., Florio, G. & Cascone, L. (2012), Multiscale analysis of potential fields by a ridge consistency criterion: the reconstruction of the Bishop basement, Geophysical Journal International, 188(1), 103–114.

  • Fedi, M., Florio, G. & Paoletto, V. (2015), MHODE: a local-homogeneity theory for improved source-parameter estimation of potential fields, Geophysical Journal International, 202, 887–900.

  • FitzGerald D., Reid A., Milligan P., et al. (2006), Hybrid Euler magnetic basement depth estimation: Integration into 3D Geological Models, Australian Earth Sciences Convention 2006, Melbourne.

  • Florio, G. & Fedi, M. (2014) Multiridge Euler deconvolution, Geophysical prospecting, 62(2), 333–351.

  • Florio, G., Fedi, M., Pašteka, R. (2014) On the estimation of the structural index from low-pass filtered magnetic data. Geophysics, 79(6), J67–J80.

  • Hsu, S. (2002), Imaging magnetic sources using Euler’s equation, Geophysical prospecting, 50(1), 15–25.

  • Keating P.B. (1998), Weighted Euler deconvolution of gravity data. Geophysics, 63, 1595–1603.

  • Klingele E.E., Marson I. and Kahle H-G. (1991), Automatic interpretation of gravity gradiometric data in two dimensions: vertical gradient. Geophysical Prospecting 39, 407–434.

  • Mickus K.L., and Hinojosa J.H. (2001), The complete gravity gradient tensor derived from the vertical component of gravity: a Fourier transform technique. Journal of Applied Geophysics, 46, 159–174.

  • Mushayandebvu M.F., Van Driel P., Reid A.B. and Fairhead J.D. (2001), Magnetic source parameters of two-dimensional structures using extended Euler deconvolution, Geophysics, 66, 814–823.

  • Ravat D., Wang B., Wildermuth A. and Taylor P.T. (2002), Gradients in the interpretation of satellite-altitude magnetic data: an example from central Africa. Journal of Geodynamics 33, 131–142.

  • Reid, A. B., Fitzgerald D., and Flanagan G. (2005), Hybrid Euler magnetic basement depth estimation: Bishop 3D tests, 75th Annual International Meeting, SEG, Expanded Abstracts, 671–673.

  • Reid A.B., Ebbing J., & Webb S.J. (2012), Comment on ‘A crustal thickness map of Africa derived from a global gravity field model using Euler deconvolution’ by Getachew E. Tedla, M. van der Meijde, A. A. Nyblade and F. D. van der Meer. Geophysical Journal International, 189, 1217–1222.

  • Reid A.B., Ebbing J. & Webb S.J. (2014), Avoidable Euler Errors - the use and abuse of Euler deconvolution applied to potential fields, Geophysical Prospecting, 62, 1162–1168.

  • Reid A.B., Allsop J. M., Grancer H., Millet A. J., & Somerton I.W. (1990), Magnetic interpretation in three dimensions using Euler deconvolution, Geophysics, 55, 80–91.

  • Reid A.B., & Thurston J.B. (2014), The structural index in gravity and magnetic interpretation: Errors, uses, and abuses, Geophysics 79, J61–J66.

  • Salem A., Williams S., Fairhead D., Smith R., & Ravat D. (2008), Interpretation of magnetic data using tilt-angle derivatives, Geophysics, 73, L1–L10.

  • Stavrev P.Y. (1997), Euler deconvolution using differential similarity transformations of gravity or magnetic anomalies, Geophysical Prospecting, 45, 207–246.

  • Stavrev P., & Reid A. (2007), Degrees of homogeneity of potential fields and structural indices of Euler deconvolution, Geophysics, 72, L1–L12.

  • Stavrev P., & Reid A. (2010), Euler deconvolution of gravity anomalies from thick contact/fault structurals with extended negative structural index, Geophysics, 75, I51–I58.

  • Thompson D.T. (1982), EULDPH: A new technique for making computer assisted depth estimates from magnetic data, Geophysics, 47, 31–37.

  • Williams, S. E., Fairhead J. D., and Flanagan G. (2002), Realistic models of basement topography for depth to magnetic basement testing, 72nd Annual International Meeting, SEG, Expanded Abstracts, 814–817.

  • Williams, S. E., Fairhead J. D., and Flanagan G. (2005), Comparison of grid Euler deconvolution with and without 2D constraints using a realistic 3D magnetic basement model, Geophysics, 70, L13–L21.

  • Yao C. L., Guan Z. N., Wu Q. B., Zhang Y. W., Liu H. J. (2004), An analysis of Euler deconvolution and its improvement, Geophysical & Geochemical exploration, 28, 150–155. (In Chinese with English abstract)

  • Zhang C.Y., Mushayandebvu M.F., Reid A.B., Fairhead J.D., & Odegard M.E. (2000), Euler deconvolution of gravity tensor gradient data, Geophysics, 65, 512–520.

  • Zhou W. N., Li J. Y. & Du X. J. (2014), Semiautomatic interpretation of microgravity data from subsurface cavities using curvature gradient tensor matrix, Near Surface Geophysics, 12, 579–586.

Download references

Acknowledgments

The authors would like to thank two anonymous reviewers for their valuable and constructive comments and suggestions that improved this work. This research was partly supported by the Fundamental Research Funds for the Central Universities (Grant Nos. lzujbky-2015-65 and lzujbky-2014-133) and the National Natural Science Foundation of China (Grant Nos. 41172163 and 41371033).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wenna Zhou.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhou, W., Nan, Z. & Li, J. Self-Constrained Euler Deconvolution Using Potential Field Data of Different Altitudes. Pure Appl. Geophys. 173, 2073–2085 (2016). https://doi.org/10.1007/s00024-016-1254-7

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00024-016-1254-7

Keywords

Navigation