Download e-book for kindle: Analysis of Geophysical Potential Fields: A Digital Signal by P. S. Naidu

By P. S. Naidu

ISBN-10: 0195099338

ISBN-13: 9780195099331

While a few valuable details is hidden at the back of a mass of undesirable details we frequently hotel to details processing utilized in its vast feel or particularly to sign processing whilst the helpful 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 anybody particular objective until it truly is with regards to the skin and good remoted from the remaining. The electronic sign processing process might allow us to carry out the underlying version of the resource, that's, the geological constitution. a number of the instruments of dsp reminiscent of electronic filtering, spectrum estimation, inversion, etc., have chanced on huge functions in aeromagnetic and gravity map research. There are different rising purposes of dsp within the zone of inverse filtering, 3 dimensional visualization, etc.The function of this ebook is to carry quite a few instruments of dsp to the geophysical group, particularly, to those that are coming into the geophysical career. additionally the practising geophysicists, fascinated by the aeromagnetic and gravity facts research, utilizing the commercially to be had software program programs, will locate this e-book necessary in answering their questions about "why and how?". it really is was hoping that this type of history might let the practicing geophysicists to understand the clients and boundaries of the dsp in extracting invaluable info from the capability box maps. the subjects coated are: power box indications and versions, electronic filtering in dimensions, spectrum estimation and alertness, parameter estimation with blunders bounds"

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Example text

3. A horizontal cylinder with polygonal cross-section which is specified by the coordinates of the comers. 2. Cylinder with polygonal cross-section To evaluate the total field due to a cylinder with a polygonal cross-section we must integrate Eq. 3). Fz(u) - 2~Gps f e• e• dxo dzo where ~2 stands for the cross-section of the cylinder. Following Stoke's theorem [9] the integral over the polygonal cross-section may be reduced to a line integral taken along the perimeter of the polygon. This method was first used by Ford [10] to compute the filter coefficients whose frequency response is unity over a polygon in the frequency plane and zero outside the polygon.

To obtain the corresponding result for the magnetic field we must note the relationship between the gravity and magnetic potential fields (see Eq. 10)). 15) In the frequency domain Eq. 17b) 9 and FT { - O~(x' Note that the right hand side of Eqs. 17b) differ by jsgn(u) (Note: sgn(u) x sgn(u) = 1). Thus, we note that the horizontal and vertical components of the magnetic potential field constitute a Hilbert transform pair. 18) where fx and fz are horizontal and vertical components of the gravity field and similarly for the magnetic field.

5a) oo where H(u,v,z) is to be determined by requiring that it satisfies the Laplace Eq. 1a). 5b) 4(u2-+ - v2). 1. Coordinate system used in the free space above the earth's surface. Note that +ve z points upward into the free space. 1), we must select the negative sign in Eq. 5). Here ~(u,v) would refer to the Fourier transform of the potential field a t z - 0. Using Eq. 5b) in Eq. 6) O(3 Eq. 6) is a useful integral representation of the potential field. It forms a basis for derivation of many commonly encountered results.

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Analysis of Geophysical Potential Fields: A Digital Signal Processing Approach by P. S. Naidu

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