Abstract
NMR logging, as one of the primary methods for calculating bound water saturation of reservoir, can be used to directly characterize properties of reservoir fluid and distinguish the volume of clay bound water and capillary bound water, respectively. And then, the bound water saturation can be obtained based on the total volume of bound water including clay bound water and capillary bound water. Both the T2 cut-off value and spectral irreducible water saturation can explain and ascertain the bound water saturation. Since the T2 cut-off value may have distinct variations in different layers and different blocks, the T2 cut-off value would cause obvious errors if it is not determined properly. In the original spectral coefficient model, all spectral coefficients depend on the data from rock core analysis without considering the occurrence mechanism of the bound water. Thus, this model would create many errors in the evaluation of the bound water saturation. In this paper, we proposed an improved spectral coefficient model instead of the original model in order to determine the bound water saturation. All the spectra coefficients in the new model are modified according to the laboratory core data to cut down the fitting error. We also verified the applicability of the improved model by the actual core data. By eliminating the influence of the bound water effectively, our new model showed potential to improve the accuracy of the estimated bound water saturation from NMR logging remarkably, which is regarded as a good reference to explain the bound water saturation for complicated reservoirs.
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Abbreviations
- A:
-
The coefficient matrix of echo inversion
- \(A_{1} ,A_{2} , \ldots ,A_{n}\) :
-
The T2 inversion spectral amplitude
- \(\mathrm{a},\mathrm{b}\) :
-
The fitting parameters
- \(M\) :
-
The number of echoes
- \(\mathrm{N}\) :
-
The number of table data points
- \({Q}_{ax}\) :
-
The fitting variance
- \(r\) :
-
The square root of the percent variability of the dependent variable
- \({S}_{wi}({T}_{2i})\) :
-
The spectral coefficient of different sizes by equation.
- \({S}_{win}\) :
-
The modified spectral coefficient
- T 2ct :
-
The cut-off value (ms)
- \({S}_{wi-core}\) :
-
The bound water saturation by centrifuge NMR data
- \({S}_{wi-lab-ctf},\) :
-
The bound water saturation by T2cut-off model
- \({S}_{wi-lab-sbvi}\) :
-
The bound water saturation by spectral coefficient model
- \({S}_{wi-ctf-new}\) :
-
The bound water saturation by new SVD algorithm combined with T2 cut-off model
- \({S}_{wi-sbvi-new}\) :
-
The bound water saturation by new SVD algorithm combined with spectral coefficient model
- \({S}_{wi-x}\) :
-
The bound water saturation from the different models and inversion algorithm
- \({t}_{j}\) :
-
The sampling time of J time (ms)
- \({T}_{2}\) :
-
The inversion point given by laboratory data (ms)
- \({T}_{2gm}\) :
-
The geometric mean of T2(ms)
- \(T_{21} ,T_{22} , \ldots ,T_{2n}\) :
-
The distribution value of T2 inversion
- \({X}_{o}\) :
-
The initial solution of inversion echo
- \(Y\) :
-
The measured echo data
- \({\uplambda }_{1}\) :
-
The damping factor
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Acknowledgements
This work is supported by the National 863 Program (2006AA06Z214), Natural Science Foundation of China (41476027), National Major Project of Technology and Science (2011ZX05007-006) and CNPC Research Project (2011B-4000). All the research funding supports are greatly appreciated.
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Zhao, W., Hu, F., Tang, J. et al. An approach to calculate bound water saturation by NMR logging spectral coefficient method. Acta Geophys. 70, 525–535 (2022). https://doi.org/10.1007/s11600-021-00635-0
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DOI: https://doi.org/10.1007/s11600-021-00635-0