Abstract
A multiresolution wavelet analysis of gravity datasets obtained from satellite, airborne, and terrestrial platforms was conducted to estimate their spectral differences and develop a fused free-air gravity model. In this study, fifth-generation Gravity field and steady-state Ocean Circulation Explorer (GOCE) satellite model (DIRR5 and TIMR5), airborne, and terrestrial gravity data were compared to estimate their differences within various spectral bands using wavelet decomposition. The datasets were combined in a two-dimensional approximation while taking into account their strongest spectral content to derive a fused gravity model that shows improved long and medium wavelengths over those of the original terrestrial gravity dataset. The studies were focused on two distinct areas, namely, the relatively smooth gravity field along the coast of the southeastern United States and the northern Gulf of Mexico and the highly variable gravity field of eastern Alaska. Results show that changes brought by satellite and airborne data in areas where the gravity field is smooth (southern United States) were negligible (0.1–0.2 mGal). However, in areas where the gravity field is more variable and the terrestrial data density is lower, the contribution of the airborne gravity and satellite data was increasingly significant on the order of several milligals. Results indicate future possibilities in predicting the necessity and contribution of airborne data based on the presented regional analysis scheme.
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References
Andersen, O. B., Knudsen, P., and Berry, P. (2010). “The DNSC08GRA global marine gravity field from double retracked satellite altimetry.” J. Geodesy, 84(3), 191–199.
Bruinsma, S. L., Förste, C., Abrikosov, O., Marty, J. C., Rio, M. H., Mulet, S., and Bonvalot, S. (2013). “The new ESA satellite‐only gravity field model via the direct approach.” Geophys. Res. Lett., 40(14), 3607–3612.
Burrus, C. S., Gopinath, R. A., and Guo, H. (1998). Introduction to wavelets and wavelet transforms: A primer, Prentice-Hall, Upper Saddle River, NJ.
Daubechies, I. (1992). Ten lectures on wavelets (CBMS-NSF regional conference series in applied mathematics), Society for Industrial and Applied Mathematics, Philadelphia.
Donoho, D. L. (1995). “De-noising by soft-thresholding.” IEEE Trans. Inf. Theory, 41(3), 613–627.
Gruber, T., Visser, P. N. A. M., Ackermann, C., and Hosse, M. (2011). “Validation of GOCE gravity field models by means of orbit residuals and geoid comparisons.” J. Geodesy, 85(11), 845–860.
Heck, B. (1990). “An evaluation of some systematic error sources affecting terrestrial gravity anomalies.” J. Geodesy, 64(1), 88–108.
Heiskanen, W. A., and Moritz, H. (1967). Physical geodesy, W. H. Freeman and Company, San Francisco.
Huang, J., Véronneau, M., and Mainville, A. (2008). “Assessment of systematic errors in the surface gravity anomalies over North America using the GRACE gravity model.” Geophys. J. Int., 175(1), 46–54.
Mallat, S. (1998). A wavelet tour of signal processing, Academic Press, New York.
Pail, R., et al. (2011). “First GOCE gravity field models derived by three different approaches.” J. Geodesy, 85(11), 819–843.
Pajares, G., and De La Cruz, J. M. (2004). “A wavelet-based image fusion tutorial.” Pattern Recognit., 37(9), 1855–1872.
Panet, I., Kuroishi, Y., and Holschneider, M. (2011). “Wavelet modelling of the gravity field by domain decomposition methods: An example over Japan.” Geophys. J. Int., 184(1), 203–219.
Pavlis, N. K., Holmes, S. A., Kenyon, S. C., and Factor, J. K. (2012). “The development and evaluation of the Earth gravitational model 2008 (EGM2008).” J. Geophys. Res. Solid Earth, 117(B4).
Saleh, J., Li, X., Wang, Y. M., Roman, D. R., and Smith, D. A. (2013). “Error analysis of the NGS’ surface gravity database.” J. Geodesy, 87(3), 203–221.
Schmidt, M., and Fabert, O. (2008). “Ellipsoidal wavelet representation of the gravity field.” Rep. 487, Dept. of Geodetic Science and Surveying, Ohio State Univ., Columbus, OH.
Schwarz, K. P., Sideris, M. G., and Forsberg, R. (1990). “The use of FFT techniques in physical geodesy.” Geophys. J. Int., 100(3), 485–514.
Smith, D. A. (2007). “The GRAV-D project: Gravity for the redefinition of the American Vertical Datum.” 〈http://www.ngs.noaa.gov/GRAV-D/pubs/GRAV-D_v2007_12_19.pdf〉 (Sept. 14, 2015).
Smith, D. A., et al. (2013). “Confirming regional 1 cm differential geoid accuracy from airborne gravimetry: The Geoid Slope Validation Survey of 2011.” J. Geodesy, 87(10–12), 885–907.
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© 2015 American Society of Civil Engineers.
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Received: Sep 18, 2014
Accepted: Oct 5, 2015
Published online: Dec 30, 2015
Published in print: May 1, 2016
Discussion open until: May 30, 2016
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