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LOW-PASS FILTERING OF NOISY SCHLUMBERGER SOUNDING CURVES PART 1: THEORY*
Authors:D PATELLA
Abstract:A contribution is given to the solution of the problem of filtering noise-degraded Schlumberger sounding curves. It is shown that the transformation to the pole-pole system is actually a smoothing operation that filters high-frequency noise. In the case of residual noise contamination in the transformed pole-pole curve, it is demonstrated that a subsequent application of a conventional rectangular low-pass filter, with cut-off frequency not less than the right-hand frequency limit of the main message pass-band, may satisfactorily solve the problem by leaving a pole-pole curve available for interpretation. An attempt is also made to understand the essential peculiarities of the pole-pole system as far as penetration depth, resolving power and selectivity power are concerned.
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