Advertisement

“Native” Wavelet Transform for Solving Gravimetry Inverse Problem on the Sphere

  • N. Khairullina (Matveeva)Email author
  • E. Utemov
  • D. Nurgaliev
Conference paper
Part of the Springer Proceedings in Earth and Environmental Sciences book series (SPEES)

Abstract

We present a novel algorithm to interpret the geopotential data obtained on the surface of a sphere. Suggested method is based on CWT with so called “native” basis. Computational experiments show that location and depth of synthetic causative sources are uniquely determined by the proposed method. Comparison presented results with seismic data demonstrates a good agreement.

Keywords

Gravimetry Inverse gravity problem Gravitational potential Sphere Wavelet transform 

References

  1. Gibert D. and Pessel M. (2001), Identification of sources of potential fields with the continuous wavelet transform: Application to self-potential profiles. Geophys. Res. Lett., 28(9), 1863–1866.CrossRefGoogle Scholar
  2. Hood P. (1965), Gradient measurements in aeromagnetic surveying: Geophysics, 30, 891–802.CrossRefGoogle Scholar
  3. Matveeva N., Utemov E., Nurgaliev D (2015) “Native” wavelet transform for solution inverse problem of gravimetry on the spherical manifold. International Multidisciplinary Scientific GeoConference Surveying Geology and Mining Ecology Management, SGEM, v.3, p. 1067–1074, 2015.Google Scholar
  4. Matveeva N., Utemov E., Nurgaliev D (2014) Solutions of inverse problem of gravimetry on the sphere using “native” wavelet transform. International Multidisciplinary Scientific GeoConference Surveying Geology and Mining Ecology Management, SGEM, v.1, p. 621–628, 2014.Google Scholar
  5. Moreau F., Gibert D., Holschneider M. and Saracco G. (1997), Wavelet analysis of potential fields, Inverse probl., 13, 165–178.Google Scholar
  6. Moreau F., Gibert D., Holschneider M. and Saracco G. (1999), Identification of sources of potential fields with the continuous wavelet transform: Basic theory. J. Geophys. Res., 104 (B3), 5003–5013.CrossRefGoogle Scholar
  7. Reid A.B., Allsop J.M., Granser H., Millett A.J. and Somerton I.W. (1990), Magnetic interpretation in three dimensions using Euler deconvolution: Geophysics, 55, 80–91.CrossRefGoogle Scholar
  8. Sailhac P., Galdeano A., Gibert D., Moreau F. and Delor C. (2000), Identification of sources of potential fields with the continuous wavelet transform: Complex wavelets and application to aeromagnetic profiles in French Guiana, J. Geophys. Res., 104 (B8), 19455–19475.CrossRefGoogle Scholar
  9. Thompson D.T. (1982), EULDPH – A new technique for making computer-assisted depth estimates from magnetic data, Geophysics, 47, 31–37.CrossRefGoogle Scholar
  10. Utemov E.V. and Nurgaliev D.K. (2005), Natural Wavelet Transformations of Gravity Data: Theory and Applications, Izvestia Physics of the Solid Earth, 41(4), 88–96.Google Scholar
  11. Werner S. (1953), Interpretation of magnetic anomalies at sheet-like bodies. Sver. Geol. Unders. Ser. C. C. Arsbok, 43 (06).Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • N. Khairullina (Matveeva)
    • 1
    Email author
  • E. Utemov
    • 1
  • D. Nurgaliev
    • 1
  1. 1.Kazan Federal UniversityKazanRussian Federation

Personalised recommendations