Abstract
In order to improve the processing and interpretation of gravity data, multiscale edge theory in image processing is introduced into the study of gravity field. Multiscale edges of gravity anomaly are analyzed based on a special wavelet. It shows that the multiscale edges are the extrema points of the horizontal gravity gradient at different heights, which are related to the sharp discontinuities of underground sources. The applications of multiscale edge in downward continuation and gravity inversion are discussed. The simulated examples show that the multiscale edges can be applied to stabilize the downward continuation operator when the continuation height is low. The multiscale edges also have a convenient application to infer the geometry of the underground source. Moreover, the gravity inversion algorithm based on the multiscale edges has a good antinoise property.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Sandwell D, Smith W (1997) Marine gravity anomaly from Geosat and ERS-1 satellite altimetry[J]. Journal of Geophysical Research, 102(5): 10 039–10 054
Hwang C, Parsons B (1995) Gravity anomalies derived from Seasat, Geosat, ERS-1 and Topex/Poseidon altimeter and ship gravity: a case study over the Reykjanes Ridge[J]. Geophysical Journal International, 122: 551–568
Forsberg R, Olesen A V, Keller K (2001) Airborne gravity survey of the North Greenland continental shelf[C]. Scientific Assembly of the International Association of Geodesy, Budapest, Hungary
Richter T G, Holt J W, Blankenship D D (2001) Airborne gravimetry over the antarctic ice sheet[C]. Proceedings of the International Symposium on Kinematic Systems in Geodesy, Geomatics and Navigation, Banff, Canada
Hwang C, Guo J Y, Deng X L, et al.(2006) Coastal gravity anomalies from retracked Geosat/GM altimetry: improvement, limitation and the role of airborne gravity data[J]. Journal of Geodesy, 80:204–216
Zhou Xuhua, Wu Bin, Peng Bibo, et al.(2006) Earth gravity field recovered from CHAMP science orbit and accelerometer data[J]. Geo-spatial Information Science, 9(4): 250–254
Luo Jia, Shi Chuang, Zou Xiancai, et al.(2006) Comparison of present SST gravity field models[J]. Geo-spatial Information Science, 9(3):175–179
Mallat S, Zhong S F (1992) Characterization of signals from multiscale edges[J]. IEEE Trans. on Pattern Recognition and Machine Intelligence, 14(7):710–732
Hornby P, Boschetti F, Horowitz F (1999) Analysis of potential field data in the wavelet domain[J]. Geophysical Journal International, 137:175–196
Trompat H, Boschetti F, Hornby P (2003) Improved downward continuation of potential field data[J]. Exploration Geophysics, 34:249–256
Boschetti F, Therond V, Hornby P (2004) Feature removal and isolation in potential field data[J]. Geophysical Journal International, 159:833–841
Wang Haihong (2005) Research on applications of wavelet multiscale analysis in the earth’s gravity field[D]. Wuhan: Wuhan University
Kock K R(1968) Numerical examples for downward continuation of gravity anomalies[R]. OSU report, No. 112. Ohio State University, Columbus, Ohio
Author information
Authors and Affiliations
Corresponding author
Additional information
Supported by the National Natural Science Foundation of China(No.40704003), the National 973 Program of China(No.2007CB714405), the Open Research Fund from Key Laboratory of Geospace Environment and Geodesy(No.04-01-08).
About this article
Cite this article
Wang, H., Luo, Z. & Ning, J. Multiscale edge analysis of gravity data and its applications. Geo-spat. Inf. Sci. 12, 230–234 (2009). https://doi.org/10.1007/s11806-009-0041-3
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11806-009-0041-3