Full Tensor Gradient of Simulated Gravity Data for Prospect Scale Delineation

Hendra Grandis, Darharta Dahrin

Abstract


Gravity gradiometry measurement allows imaging of anomalous sources in more detail than conventional gravity data. The availability of this new technique is limited to airborne gravity surveys using very specific instrumentation. In principle, the gravity gradients can be calculated from the vertical component of the gravity commonly measured in a ground-based gravity survey. We present a calculation of the full tensor gradient (FTG) of the gravity employing the Fourier transformation. The calculation was applied to synthetic data associated with a simple block model and also with a more realistic model. The latter corresponds to a 3D model in which a thin coal layer is embedded in a sedimentary environment. Our results show the utility of the FTG of the gravity for prospect scale delineation.

Keywords


anomaly enhancement; fast Fourier transform (FFT); filtering; gravity; potential fields methods.

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References


Bell, R.E., Anderson, R.N. & Pratson, L.F., Gravity Gradiometry Resurfaces, The Leading Edge, 16(1), pp. 55-59, 1997.

Hansen, R.O., Pearson, W.C., deRidder, E. & Johnson, W.M., The Gravity Gradiometer: Basic Conceptsand Trade Offs, The Leading Edge, 18(4), pp. 478-480, 1999.

Oruç, B., Sertçelik, I., Kafadar, Ö. & Selim, H.H., Structural Inter-pretation of the Erzurum Basin, Eastern Turkey, Using Curvature Gravity Gradient Tensor and Gravity Inversion of Basement Relief, Journal of Applied Geophysics, 88(1), pp. 105-113, 2013.

Badmus, B.S., Sotona, N.K. & Krieger, M., Gravity Support for Hydro¬carbon Exploration at the Prospect Level, Journal of Emerging Trends in Engineering and Applied Sciences (JETEAS), 2(1),pp.1-6, 2011.

Mickus, K.L. & Hinojosa, J.H., The Complete Gravity Gradient Tensor derived from the Vertical Componentof Gravity: A Fourier Transform Technique, Journal of Applied Geophysics, 46(3), pp. 156-176, 2001.

Montana, C.J., Mickus, K.L. &Peeples, W.J., Program to Calculate the Gravitational Field and Gravity Gradient Tensor Resulting from a System of Right Rectangular Prisms, Computers & Geosciences, 18(5), pp. 587-602, 1992.

Nagy, D., Gravitational Attraction of a Right Rectangular Prism, Geophysics, 31(2), pp. 362-371, 1966.

Plouff, D., Derivation of formulas and FORTRAN Programs to Compute Gravity Anomalies of Prisms, National Technical Information Service No. PB-243-526, U.S. Department of Commerce, 1975.

Blakely, R.J., Potential Theory in Gravity and Magnetic Applications, Cambridge University Press, 1996.

Beiki, M., Analytic Signals of Gravity Gradient Tensorand Their Application to Estimate Source Location, Geophysics, 75(6), pp. I59-I74, 2010.

Pilkington, M., Evaluating the Utility of Gravity Gradient Tensor Components, Geophysics, 79(1), pp. G1-G14, 2014.

Parker, R.L., The Rapid Calculation of Potential Anomalies, Geophysical Journal of Royal Astronomical Society, 31(4), pp. 447-455, 1973.

Shin, Y.H., Choi, K.S. & Xu, H., Three-dimensional Forward and Inverse Models for Gravity Fields based on the Fast Fourier Transform, Computers & Geosciences, 32(6), pp. 727-738, 2006.

Murphy, C.A. & Brewster, J., Target Delineation Using Full Tensor Gravity Gradiometry Data, ASEG Extented abstracts, 2007(1), pp. 1-3, 2007.

Barns, G. & Lumley, J., Processing Gravity Gradient Data, Geophysics, 76(2), pp. I33-I47, 2011.

Barns, G., Interpolating The Gravity Field Using Full Tensor Gradient Measurements, First Break, 30(4), pp. 97-101, 2012.

Grandis, H. & Dahrin, D., Constrained Two-Dimensional Inversion of Gravity Data, Journal of Mathematical and Fundamental Sciences, 46(1), pp. 1-13, 2014.

Pilkington, M., Analysis of Gravity Gradiometer Inverse Problems Using Optimal Design Measures,Geophysics, 77(2), pp. G25-G31, 2012.

Buttkus, B., Spectral Analysis and Filter Theory in Applied Geophysics, Springer-Verlag, 2000.

Grandis, H., Simulation of 3D Gravity Anomaly of Thin Coal Layerin Sedimentary Environment and its Delineation, International Journal of Tomography and Simulation, 26(2), pp. 1-11, 2014.

Keating, P. & Pinet, N., Use of Non-Linear Filtering for the Regional-Residual Separation of Potential Field Data, Journal of Applied Geophysics, 73(4), pp. 315-322, 2011.




DOI: http://dx.doi.org/10.5614%2Fj.math.fund.sci.2014.46.2.1

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