Skip to main content
Log in

Fast local wavenumber (FLW) method for the inversion of magnetic source parameters

  • Published:
Applied Geophysics Aims and scope Submit manuscript

Abstract

The current local wavenumber methods for the interpretation of magnetic anomalies compute the locations of geological bodies by solving complex matrices. Presently, such methods require to know the structural index, which is a parameter that represents the source type. The structural index is hard to know in real data; consequently, the precision of current methods is low. We present the fast local wavenumber (FLW) method, and define the squared sum of the horizontal and vertical local wavenumbers as the cumulative local wavenumber. The FLW method is the linear combination of the umulative local wavenumberand other wavenumbers, and is used to compute the locations and structural index of the source without a priori information and matrix solution. We apply the FLW method to synthetic magnetic anomalies, and the results suggest that the FLW method is insensitive to background and oblique magnetization. Next, we apply the FLW method to real magnetic data to obtain the location and structural index of the source.

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.

Similar content being viewed by others

References

  • Abbas, M. A., Fedi, M., and Florio, G., 2014, Improving the local wavenumber method by automatic DEXP transformation: Journal of Applied Geophysics, 111, 250–255.

    Article  Google Scholar 

  • Blakely, R. J., 1995, Potential theory in gravity and magnetic application: Cambridge University Press, Britain.

    Google Scholar 

  • Bracewell, R. N., 1965, The Fourier transform and its application: McGraw Hill Book Co., American.

    Google Scholar 

  • Cooper, G. R. J., 2016, The amplitude and phase of the derivatives of the magnetic anomalies of thin dykes and contacts: Exploration Geophysics, 47, 290–295.

    Google Scholar 

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

    Article  Google Scholar 

  • Keating, P., 2009, Improved use of the local wavenumber in potential-field interpretation: Geophysics, 74(6), L75–L85.

    Article  Google Scholar 

  • Li, L. L., Du, X. J., Meng, L. S., et al., 2012, Improved Local Wavenumber Methods in the Interpretation of Magnetic Fields, Journal of Jilin University(Earth Science Edition) (In Chinese), 42(4), 1179–1185.

    Google Scholar 

  • Li, X., 2006, Understanding 3D analytic signal amplitude: Geophysics, 71(1), L13–L16.

    Article  Google Scholar 

  • Ma, G. Q., Huang, D. N., Li, L. L., et al., 2014, A normalized local wavenumber method for interpretation of gravity and magnetic anomalies: Chinese J. Geophys. (In Chinese), 57(4), 1300–1309.

    Google Scholar 

  • Ma, G. Q., Liu, C., Xu, J., et al., 2017, Correlation imaging method based on local wavenumber for interpreting magnetic data: Journal of Applied Geophysics, 138, 17–22.

    Article  Google Scholar 

  • Ma, G. Q., 2013, Improved local wavenumber methods in the interpretation of potential field data: Pure and Applied Geophysics, 170(4), 633–643.

    Article  Google Scholar 

  • Nabighian, M.N., Grauch, V. J. S., Hansen, R. O., et al., 2005, The historical development of the magnetic method in exploration: Geophysics, 70(6), 33–61.

    Article  Google Scholar 

  • Pilkington, M., and Keating, P., 2006, The relationship between local wavenumber and analytic signal in magnetic interpretation: Geophysics, 71(1), L1–L3.

    Article  Google Scholar 

  • Reid, A. B., Allsop, J. M., Granser, H., et al., 1990, Magnetic interpretation in three dimensions using Euler deconvolution: Geophysics, 55, 80–91.

    Article  Google Scholar 

  • Salem, A., 2005, Interpretation of magnetic data using analytic signal derivatives: Geophysical Prospecting, 53, 75–82.

    Article  Google Scholar 

  • Salem, A., Elsirafi, A., and Ushijima, K., 1999, Design and application of high-resolution aeromagnetic survey over Gebel Duwi area and its offshore extension, Egypt: Memoirs of the Faculty of Engineering, Kyushu University, 59(3), 201–213.

    Google Scholar 

  • Salem, A., and Smith, R. S., 2005, Depth and structural index from the normalized local wavenumber of 2Dmagnetic anomalies: Geophysical Prospecting, 51, 83–89.

    Article  Google Scholar 

  • Salem, A., Ravat, D., Smith, R., et al., 2005, Interpretation of magnetic data using an enhanced local wavenumber (ELW) method: Geophysics, 70(2), L7–L12.

    Article  Google Scholar 

  • Salem, A., Williams, S., Fairhead, D., et al., 2008, Interpretation of magnetic data using tilt-angle derivatives: Geophysics, 73, L1–L10.

    Article  Google Scholar 

  • Smith, R. S., Thurston, J. B., Dai, T., et al., 1998, iSPI— The improved source parameter imaging method: Geophysical Prospecting, 46, 141–151.

    Article  Google Scholar 

  • Stavrev, P., and Reid, A. B., 2007, Degrees of homogeneity of potential fields and structural indices of Euler deconvolution: Geophysics, 72(1), L1–L12.

    Article  Google Scholar 

  • Thompson, D, T., 1982, 'EULDPH'–a new technique for making computer-assisted Depth Estimates from Magnetic Data: Geophysics, 47, 31–37.

    Article  Google Scholar 

  • Thurston, J. B., and Smith, R. S., 1997, Automatic conversion of magnetic data to depth dip and susceptibility contrast using the SPI method: Geophysics, 62, 807–813.

    Article  Google Scholar 

Download references

Acknowledgments

We wish to thank the associate editors and reviewers for comments that improved the manuscript.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jiang-Tao Han.

Additional information

This work was supported by the National Key Research and Development Program of China (Nos. 2017YFC0601305, 2017YFC0602203, and 2017YFC0601606), National Science and Technology Major Project task (No. 2016ZX05027-002-03), National Natural Science Foundation of China (No. 41604098), and State Key Program of National Natural Science of China (No. 41430322).

Ma Guo-Qing, Professor, College of Geoexploration Science and Technology, Jilin University. He received his B.S. in Geophysics from Jilin University in July 2008 and his Ph.D. in Geophysics from Jilin University in June 2013. His main research interests are structural divisions, location, and property distribution of gravity and magnetic anomalies.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ma, GQ., Ming, YB., Han, JT. et al. Fast local wavenumber (FLW) method for the inversion of magnetic source parameters. Appl. Geophys. 15, 353–360 (2018). https://doi.org/10.1007/s11770-018-0673-x

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11770-018-0673-x

Keywords

Navigation