Probing the influential factors of NMR T1-T2 spectra in the characterization of the kerogen by numerical simulation.

The low field nuclear magnetic resonance (NMR) spectroscopy has been widely used to characterize the longitudinal and transversal relaxation (T1-T2) spectrum of unconventional resources such as shale gas and tight oil containing significant proportions of kerogen and bitumen. However, it requires exquisite design of the acquisition model and the inversion algorithm due to the fast relaxation nature of the kerogen and bitumen. A new direct two dimensional (2D) inversion algorithm combined the iterative truncated singular value decomposition (TSVD) and the Akaiake Information Criterion (AIC) is presented to perform the data inversion efficiently. The fluid component decomposition (FCD) is applied to construct the forward T1-T2 model of the kerogen, and numerical simulations are conducted to investigate factors which may influence inversion results including echo spacing, recovery time series, signal to noise ratio (SNR), and the maximal iteration time. Results show that the T2 component is heavily impaired by the echo spacing, whereas the T1 component is influenced by the recovery time series but with limited effects. The inversion precision is greatly affected by the quality of the data. The inversed spectrum deviates from the model seriously when the SNR of the artificial noise is lower than 50, and the T2 component is more sensitive to the noise than the T1 component. What's more, the maximal iteration time can also affect the inversion result, especially when the maximal iteration time is smaller than 500. Proper acquisition and inversion parameters for the characterization of the kerogen are obtained considering the precision and the computational cost.

[1]  Hagit Messer,et al.  Submitted to Ieee Transactions on Signal Processing Detection of Signals by Information Theoretic Criteria: General Asymptotic Performance Analysis , 2022 .

[2]  H. Chen,et al.  A Signal-Enhancement Algorithm for the Quantification of NMR Data in the Time Domain , 1994 .

[3]  J. Birdwell,et al.  Updated methodology for nuclear magnetic resonance characterization of shales. , 2013, Journal of magnetic resonance.

[4]  Z. Bai,et al.  On detection of the number of signals in presence of white noise , 1985 .

[5]  Zhang,et al.  Novel Method for Selection of Regularization Parameter in the Near-field Acoustic Holography , 2011 .

[6]  M. Nasser,et al.  Qualitative and quantitative reservoir bitumen characterization: A core to log correlation methodology , 2014 .

[7]  J. L. A. de Carvalho,et al.  Improved MRI reconstruction and denoising using SVD-based low-rank approximation , 2012, 2012 Workshop on Engineering Applications.

[8]  M. Tan,et al.  Numerical simulation of (T2, T1) 2D NMR and fluid responses , 2012, Applied Geophysics.

[9]  Richard E. Lewis,et al.  NMR T2 Distributions in the Eagle Ford Shale: Reflections on Pore Size , 2013 .

[10]  J. M. Morris,et al.  Noise reduction for NMR FID signals via Gabor expansion , 1997, IEEE Transactions on Biomedical Engineering.

[11]  Émilie Chouzenoux,et al.  Efficient Maximum Entropy Reconstruction of Nuclear Magnetic Resonance T1-T2 Spectra , 2010, IEEE Transactions on Signal Processing.

[12]  P. Pelupessy,et al.  Speeding up nuclear magnetic resonance spectroscopy by the use of SMAll Recovery Times - SMART NMR. , 2010, Journal of magnetic resonance.

[13]  C. Vogel Non-convergence of the L-curve regularization parameter selection method , 1996 .

[14]  Daniel L. Polders,et al.  A novel improved method for analysis of 2D diffusion-relaxation data--2D PARAFAC-Laplace decomposition. , 2007, Journal of magnetic resonance.

[15]  Lizhi Xiao,et al.  Heavy oil component characterization with multidimensional unilateral NMR , 2013, Petroleum Science.

[16]  M. Hanke Limitations of the L-curve method in ill-posed problems , 1996 .

[17]  D. J. Bergman,et al.  Nuclear Magnetic Resonance: Petrophysical and Logging Applications , 2011 .

[18]  Boqin Sun,et al.  In situ fluid typing and quantification with 1D and 2D NMR logging. , 2007, Magnetic resonance imaging.

[19]  A. Guillén,et al.  Inversion of surface nuclear magnetic resonance data by an adapted Monte Carlo method applied to water resource characterization , 2002 .

[20]  Justin E. Birdwell,et al.  NMR MEASUREMENT OF OIL SHALE MAGNETIC RELAXATION AT HIGH MAGNETIC FIELD , 2013 .

[21]  Kan-Nian Hu,et al.  A general Monte Carlo/simulated annealing algorithm for resonance assignment in NMR of uniformly labeled biopolymers , 2011, Journal of biomolecular NMR.

[22]  M. Prange,et al.  A Fast Monte Carlo Sampler for NMR T2 Inversion , 2009 .

[23]  L Venkataramanan,et al.  T(1)--T(2) correlation spectra obtained using a fast two-dimensional Laplace inversion. , 2002, Journal of magnetic resonance.

[24]  Boyang Zhang,et al.  Characterization of Shale Oil Rocks Using Retort and Nuclear Magnetic Resonance , 2014 .

[25]  Yang Wang,et al.  Noise reduction of nuclear magnetic resonance (NMR) transversal data using improved wavelet transform and exponentially weighted moving average (EWMA). , 2015, Journal of magnetic resonance.

[26]  Lalitha Venkataramanan,et al.  Solving Fredholm integrals of the first kind with tensor product structure in 2 and 2.5 dimensions , 2002, IEEE Trans. Signal Process..