Wavelet De-noising Algorithm for NMR Logging Application

摘要

In this paper, a wavelet de-noising algorithm is proposed to reduce the noise from Nuclear Magnetic Resonance (NMR) logging signal based on the analysis of its application characteristics. In addition to its low computational requirements, this approach has many other theoretical advantages in NMR logging. NMR logging signals in the wavelet domain are concentrated in a few coefficients while the noise is well distributed. Performing a thresholding method in the wavelet domain can significantly enhance the signal. A comparison with other NMR logging de-nosing technique shows that this method has a superior performance. The Signal-to-Noise Ratio (SNR) and Root Mean Square Error (RMSE) are used as the quality metrics to study the performance of the proposed method. Simulations and experiments both confirm the theoretical expectations.