Nonlinearity of the maximum entropy method in resolution enhancement

1992 ◽  
Vol 70 (12) ◽  
pp. 2887-2894 ◽  
Author(s):  
J. K. Kauppinen ◽  
D. J. Moffatt ◽  
H. H. Mantsch
Keyword(s):  
Maximum Entropy ◽  
Maximum Entropy Method ◽  
Linear Prediction ◽  
Signal To Noise Ratio ◽  
Resolution Enhancement ◽  
Nonlinear Behavior ◽  
Entropy Method ◽  
Spectral Lines ◽  
High Signal ◽  
Intensity Pattern

The nonlinear behavior of the filter-type Maximum Entropy Method (MEM) was investigated from a theoretical and a practical point of view. The integrated intensity of the output spectral lines of MEM was probed as a function of the input intensity pattern, the filter length, and the S/N ratio of the input spectrum. The nonlinear behavior of MEM has been explained and the results compared with those derived by another method, LOMEP (Lineshape Optimized Maximum Entropy linear Prediction). The study was carried out with the aim of resolution enhancement of spectra that have high signal-to-noise ratio.

Propane spectral resolution enhancement by the maximum entropy method

1990 ◽  
Vol 29 (13) ◽  
pp. 1919 ◽  
Author(s):  
N. L. Bonavito ◽  
K. C. Yeh ◽  
K. P. Stewart ◽  
R. Inguva ◽  
E. J. Hurley
Keyword(s):  
Maximum Entropy ◽  
Spectral Resolution ◽  
Maximum Entropy Method ◽  
Resolution Enhancement ◽  
Entropy Method

A new method for NMR data inversion based on double-parameter regularization

Geophysics ◽  
2018 ◽  
Vol 83 (5) ◽  
pp. JM39-JM49 ◽  
Author(s):  
Jiangfeng Guo ◽  
Ranhong Xie ◽  
Youlong Zou ◽  
Guowen Jin ◽  
Lun Gao ◽  
...  
Keyword(s):  
Maximum Entropy ◽  
Maximum Entropy Method ◽  
Regularization Parameter ◽  
Signal To Noise Ratio ◽  
Simulated Data ◽  
Entropy Method ◽  
Petroleum Exploration ◽  
Tight Sandstone ◽  
Nmr Data ◽  
Parameter Regularization

Nuclear magnetic resonance (NMR) technology plays a significant role in petroleum exploration. NMR data can be processed using inversion methods to reflect the relaxation information of all the components. We have developed a new double-parameter regularization (DPR) method for the inversion of NMR data, whose regularization terms consist of Tikhonov regularization and maximum entropy regularization. The objective function for the DPR method was solved using the Levenberg-Marquardt method, the proportional coefficient of the regularization parameter was obtained using an iteration procedure, and the optimum regularization parameter of the DPR method was selected using an S-curve. The relationship between the optimum regularization parameter and the signal-to-noise ratio (S/N) of the data was evaluated. Moreover, we compared the results of the NMR inversion obtained from the norm smooth method, the maximum entropy method, and the DPR method for simulated data. We evaluated how the proportional coefficient of the regularization parameter affected the inverted [Formula: see text] distributions and processed field NMR log data for a tight sandstone reservoir using the DPR method. The results indicated that the optimum regularization parameter for the DPR method gradually decreases with increasing data S/N. The accuracy is higher for the DPR method than for the norm smooth method and the maximum entropy method under low-S/N conditions. It is of great importance to select the proportional coefficient for the DPR method. The inverted [Formula: see text] distributions are similar for the DPR method and the norm smooth method when the proportional coefficient is small, and this is similar for the DPR method and the maximum entropy method when the proportional coefficient is large.

scholarly journals Resolution Enhancement; the ‘Maximum Entropy Method’ and the ‘High Resolution Method’

1979 ◽  
Vol 49 ◽  
pp. 197-218
Author(s):  
C. van Schooneveld
Keyword(s):  
High Resolution ◽  
Maximum Entropy ◽  
Maximum Entropy Method ◽  
Resolution Enhancement ◽  
Image Formation ◽  
Entropy Method ◽  
Resolution Method ◽  
High Resolution Method

In image formation from coherence functions we start with a set of observed coherences (visibilities) R′ (uk, vk), measured at locations uk, vk in the u,v-plane:

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