期刊
JOURNAL OF MAGNETIC RESONANCE
卷 216, 期 -, 页码 43-52出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmr.2011.12.020
关键词
Mellin transform; Analysis of exponentially decaying data; Analysis of NMR data in inhomogeneous fields; Inverse Laplace transform; Computation of moments; Fractional calculus
This paper provides a theoretical basis to directly estimate moments of transverse relaxation time 12 from measured CPMG data in grossly inhomogeneous fields. These moments < T-2(omega >) are obtained from Mellin transformation of the measured CPMG data. These moments are useful in computing petro-physical and fluid properties of hydrocarbons in porous media. Compared to the conventional method of estimating moments, the moments obtained from this method are more accurate and have a smaller variance. This method can also be used in other applications of NMR in inhomogeneous fields in characterizing fluids and porous media such as in the determination of hydrocarbon composition, estimation of model parameters describing relationship between fluid composition and measured NMR data, computation of error-bars on estimated parameters, as well as estimation of parameters < In T-2 > and sigma(In) T-2 often used to characterize rocks. We demonstrate the performance of the method on simulated data. (C) 2012 Elsevier Inc. All rights reserved.
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