Download e-book for kindle: Analysis of Geophysical Potential Fields by Prabhakar S. Naidu and M.P. Mathew (Eds.)

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

ISBN-10: 044482801X

ISBN-13: 9780444828019

While a few beneficial info is hidden at the back of a mass of undesirable details we frequently hotel to info processing utilized in its extensive experience or particularly to sign processing while the invaluable details is a waveform. In geophysical surveys, particularly in aeromagnetic and gravity surveys, from the measured box it is usually tough to assert a lot approximately anybody particular objective except it's as regards to the outside and good remoted from the remainder.

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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. E. , 26, 1-18, 1995. H. Stolt and A. K. Benson, Seismic Migration Theory and Practice, Geophysical Press, London, 1986. L. ), Tau-p" a Plane Wave Approach to the Analysis of Seismic Data, Kluwer, Dordrecht, 1989.

1. Stochastic field We first develop the necessary tools for stochastic characterization of the potential field caused by a random distribution of sources. The spectral representation of a stochastic field is a useful tool in deriving a compact form of useful results connecting the second order statistical structure of the observed field and the unknown source distribution. Let fix,y) be a homogeneous (stationary) stochastic field. It is possible to represent it in a form analogous to the Fourier integral representation of a finite energy function.

48) The last integral in Eq. 48) can be evaluated by referring to tables of definite integrals( see, for example, Ref. [16, p. 49) s This expression is derived in Ref. [ 17] and also by Bhattacharya [ 18] who used an approach of direct Fourier transformation of the spatial signal. Note that Fz(u,v,h) ~ 27rGoo2a2b2c as (u,v) --~ O. The corresponding expression for the magnetic signal (using the conversion filter (Eq. 9). 9. The Fourier transform of the total magnetic field due to a uniformly magnetized prism in low latitudes vanishes along the radial lines.

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

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