Derived the complete gravity gradient tensor from the vertical component of gravity by a cosine transform technique

Fuyu Jiang; Likun Gao

doi:10.1081/22020586.2010.12041905

ISSN: 2202-0586
E-ISSN:

oa Derived the complete gravity gradient tensor from the vertical component of gravity by a cosine transform technique
Authors Fuyu Jiang^a and Likun Gao^b
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^a Hohai University, School of Earth Science and Engineering, Xikang Road 1#, Nanjing City, , China, , 210098, E-mail: [email protected] ^b Nanjing University, School of Earth Sciences and Engineering, Hankou Road 22#, Nanjing City, , China, 210093, E-mail: [email protected]
Publisher: Australian Society of Exploration Geophysicists
Source: ASEG Extended Abstracts, Volume 2010, Issue ASEG2010 - 21st Geophysical Conference, Dec 2010, p. 1 - 4
DOI: https://doi.org/10.1081/22020586.2010.12041905
- Published online: 01 Dec 2010

Abstract

Summary

A cosine transform technique has been developed to calculate the complete gravity gradient tensor from preexisting vertical gravity data which provides an alternative determination of the gravity gradient tensor components. Gravity gradient tensor components are computed for a three-dimensional buried Y-type dyke model. A comparison between the discrete cosine transform(DCT) results and forward(or theoretical) calculating gradient components from the 3D model shows that the root-mean-square error for each component, between the two results, is at most 3.94E. In addition, according to another comparison between this DCT technique and FFT method, there is a relatively larger error between the FFT derived and model derived, but the results of DCT derived coincide well with the model derived except for several data of the boundary, indicating that our technique is more efficient than traditional FFT method.

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References

Ahmed, N., T. Natarjan, and K. R. Rao, 1974, Discrete cosine transform: IEEE Trans Compute, 23: 90-93.
Bell, R., Anderson, R., Pratson, L., 1997. Gravity gradiometry resurfaces: The Leading Edge, 16, 55–60.
Bell, R., 1998. Gravity gradiometry: Scientific American, 278, 74–79.
Blakely, R. J., and R. W. Simpson, 1986, Approximating edges of source bodies from magnetic or gravity anomalies: Geophysics, 51, 1494–1498.
Cooper, G. R. J., and D. R. Cowan, 2003, The meter reader—Sunshading geophysical data using fractional order horizontal gradients: The Leading Edge, 22, 204.Cordell, L., and V. J. S. Grauch, 1982, Mapping basement magnetization zones from aeromagnetic data in the San Juan Basin, NewMexico: 52nd Annual International Meeting, SEG, Expanded Abstracts, 246–247.
———, 1985, Mapping basement magnetization zones from aeromagnetic data in the San Juan Basin, New Mexico, in W. J. Hinze, ed., Utility of regional gravity and magnetic maps: SEG, 181–197.
Eaton, D., and K. Vasudevan, 2004, Skeletonization of aeromagnetic data: Geophysics, 69, 478–488.
Fedi, M., and G. Florio, 2001, Detection of potential fields source boundaries by enhanced horizontal derivative method, Geophysical Prospecting, 49, 40-58.
FitzGerald, D., A. Reid, and P. McInerney, 2004, New discrimination techniques for Euler deconvolution: Computers & Geosciences, 30, 461–469.
Gunn, P.J., 1975, Linear transformations of gravity and magnetic fields: Geophysical Prospecting, 23, 300-312.
Gupta, V. K., and N. Ramani, 1982, Optimum second vertical derivatives in geologic mapping and mineral exploration: Geophysics, 47, 1706-1715.
Hansen, R. O., and L. Suciu, 2002, Multiple-source Euler deconvolution: Geophysics, 67, 525–535.
Hualin Zeng, Qinghe Zhang, and Jun Liu, 1994, Location of secondary faults from cross-correlation of the second vertical derivative of gravity anomalies: Geophysical Prospecting, 42, 841-854.
Jain, A. K., 1976, A fast Karhunen-Loeve transform for a class of stochastic processes: IEEE Trans. Commun., 24, 1023-1029.
Jekeli, C., 1988. The gravity gradiometer survey system (GGSS): EOS Transactions of the American Geophysical Union 69, 116–117.
Mickus, K. L. and J. H. Hinojosa, 2001, The complete gravity gradient tensor derived from the vertical component of gravity: a Fourier transform technique: Journal of Applied Geophysics, 46, 159-174.
Montana, C. J., K. L. Mickus, and W. J. Peeples, 1992, Program to calculate the gravitational field and gravity gradient tensor resulting from a system of right rectangular prisms: Computers & Geosciences, 18, 587-602.
Nabighian, M. N., and R. O. Hansen, 2001, Unification of Euler and Werner deconvolution in three dimensions via the generalized Hilbert transform: Geophysics, 66, 1805–1810.
Pawlowski, B., 1998, Gravity gradiometry in resource exploration: The Leading Edge, 17, 51-52.
Ravat, D., B.Wang, E.Wildermuth, and P. T. Taylor, 2002, Gradients in the interpretation of satellite-altitude magnetic data: An example from central Africa: Journal of Geodynamics, 33, 131–142.
Vasco, D.W., 1989. Resolution and variance operators of gravity and gravity gradiometry: Geophysics, 54, 889–899.
Zhang F X, Meng L S, Zhang F Q, Liu C, Wu Y G, and Du X J, 2006, A new method for spectral analysis of the potential field and conversion of derivative of gravity-anomalies: cosine transform: Chinese Journal of Geophysics, 49, 244-248.
Zhang F X, Zhang F Q, Meng L S, and Liu C, 2007, Magnetic potential spectrum analysis and calculating method of magnetic anomaly derivatives based on discrete cosine transform: Chinese Journal of Geophysics, 50, 297-304.
Zhdanov, M. S., R. Ellis, and S. Mukherjee, 2004, Three-dimensional regularized focusing inversion of gravity gradient tensor component data: Geophysics, 69, 925-937.

/content/journals/10.1081/22020586.2010.12041905

Article Type: Research Article

Keyword(s): cosine transform; FFT; gravity gradient tensor; potential field; vertical gravity

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oa Derived the complete gravity gradient tensor from the vertical component of gravity by a cosine transform technique

Abstract

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