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Download PDF by Prabhakar S. Naidu and M.P. Mathew (Eds.): Analysis of Geophysical Potential Fields

By Prabhakar S. Naidu and M.P. Mathew (Eds.)

ISBN-10: 044482801X

ISBN-13: 9780444828019

While a few precious details is hidden in the back of a mass of undesirable info we frequently hotel to details processing utilized in its wide experience or particularly to sign processing while the valuable details is a waveform. In geophysical surveys, particularly in aeromagnetic and gravity surveys, from the measured box it's always tough to claim a lot approximately anyone particular goal until it really is just about the skin and good remoted from the remainder.

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Twomey, Information content in remote sensing, Appl. Optics, 13, 942-945, 1974. D. Jackson, Interpretation of inaccurate, insufficient and inconsistent data, Geophys. J. R. Astr. , 28, 97-109, 1972. [4] J. G. Proakis and D. G. Manolakis, Digital Signal Processing, Theory, Algorithm, and Applications, Prentice Hall, New York, 1988. S. Naidu, Modern Spectrum Analysis of Time Series, CRC Press, Boca Raton, FL, 1995. S. Lim, Two Dimension Signal and Image Processing, Prentice Hall, Englewood Cliffs, NJ, 1990.

2b) is also known as the Fourier integral representation of cb(x,y). The integral in Eq. 3) oo which condition is generally not satisfied in most geophysical situations except where we have an isolated anomaly. In practice it is found that there is a neverending succession of anomalies. Then the condition implied in Eq. 3) will not be satisfied. Later in this chapter we introduce the generalized Fourier transform. 2. Potential field Let cb(x,y,z) be the potential field in free space satisfying Eq.

Often it is the top most singular point on the convex surface which is of great interest, and it is also the one which can be determined relatively easily. Let h be the depth to the top most singular point, then there exists an upper bound on the Fourier transform of the signal due to the source [5], 9 (u, v) < ~ ( c ) e x p ( - [ h - cls), c-+ 0 where s - V/(b/2 --[- 1;2). For a gravitational field, K(e) should be replaced by the total mass. Analytic continuation beyond the first singular point is not possible.

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Analysis of Geophysical Potential Fields by Prabhakar S. Naidu and M.P. Mathew (Eds.)

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