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- W2032503237 abstract "The accuracy and resolution of gamma-ray logs for the purpose of determining the distribution of uranium (or other radioelements) with depth along a borehole may be improved by application of suitable inverse filters. Approximate inverse filters for gamma-ray logs have been given previously to compensate for the effect of the exponential ratemeter of an analog logging system, and for an effect called the ‘geologic impulse response’ or GIR (the natural gamma-radiation field in the vicinity of a thin zone of radioactive material perpendicular to the borehole, as a function of position along the borehole). For a given set of borehole and logging parameters, both of these inverse filters work best for small sampling intervals. The ratemeter inverse filter in particular exhibits serious departure from ideal behavior at frequencies greater than about half the Nyquist frequency. In this paper alternative inverse filters are derived through Z-transform techniques for the analog ratemeter with an exponential impulse response, and for an assumed double-exponential shape of the geologic impulse response. An example is given using field data to demonstrate that these exact inverse filters (especially the ratemeter inverse filter) can give results which are significantly improved over those obtained using the approximate inverse filters. The Z-transform approach to deriving inverse filters also allows an inverse filter to be derived for the case of an asymmetrical GIR which is still double-exponential in nature. This filter may prove useful in cases where the probe contains an asymmetrical distribution of gamma-absorbing material (e.g. a heavy nose weight adjacent to the detector), causing the normally symmetrical GIR to appear distorted." @default.
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- W2032503237 date "1980-02-01" @default.
- W2032503237 modified "2023-10-18" @default.
- W2032503237 title "Exact inverse filters for the deconvolution of gamma-ray logs" @default.
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- W2032503237 doi "https://doi.org/10.1016/0016-7142(80)90002-2" @default.
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