Numerical analysis of nuclear magnetic resonance relaxation-diffusion responses of sedimentary rock

New Journal of Physics

Volumn 13, Issue , 2011, Pages

  Arns, Christoph H ^a   AlGhamdi, Tariq ^a   Arns, Ji Youn ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

APPLIED FIELD; CHARACTERISTIC LENGTH; CT IMAGE; DIFFUSION COEFFICIENTS; DIFFUSION MEASUREMENTS; EXPERIMENTAL PARAMETERS; FLUID MOLECULES; FLUID PHASIS; FLUID-SOLID INTERFACES; INHOMOGENEITIES; INTERNAL GRADIENT; LOCAL GRADIENTS; LOW FIELD; MAGNETIC RESONANCE RELAXATION; NMR RELAXATION; OIL FIELD APPLICATIONS; PORE SPACE; POROUS RESERVOIRS; POROUS ROCKS; PULSE SEQUENCE; RELAXATION PROPERTY; RESERVOIR ROCK; RESTRICTED DIFFUSION; SATURATING FLUIDS; TIME-DEPENDENT DIFFUSION COEFFICIENT;

COMPUTERIZED TOMOGRAPHY; ENCODING (SYMBOLS); FLUIDS; NUCLEAR MAGNETIC RESONANCE; NUMERICAL ANALYSIS; OIL FIELDS; PHASE INTERFACES; RESONANCE; SEDIMENTARY ROCKS; SEDIMENTOLOGY;

DIFFUSION;

EID: 79952274202     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/13/1/015004     Document Type: Article

References (49)

1. Hürlimann M D and Venkataramanan L 2002 Quantitative measurement of two-dimensional distribution functions of diffusion and relaxation in grossly inhomogeneous fields J. Magn. Res. 157 31-42
2. Hürlimann M D, Venkataramanan L and Flaum C 2002 The diffusion-spin relaxation time distribution function as an experimental probe to characterize fluid mixtures in porous media J. Chem. Phys. 117 10223-32
3. Wayne R C and Cotts R M 1966 Nuclear-magnetic-resonance study of self-diffusion in a bounded medium Phys. Rev. 151 264-72
4. Brownstein K R and Tarr C E 1979 Importance of classical diffusion in NMR studies of water in biological cells Phys. Rev. A 19 2446-53
5. Kenyon W E, Day P, Straley C and Willemsen J 1986 Compact and consistent representation of rock NMR data from permeability estimation Proc. 61st Annu. Technical Conf. and Exhibition, New Orleans SPE 15643
6. Kenyon W E, Day P, Straley C and Willemsen J 1988 A three part study of NMR longitudinal relaxation properties of water saturated sandstones SPE Format. Eval. 3 626-36
7. Kenyon W E 1992 Nuclear magnetic resonance as a petrophysical measurement Nucl. Geophys. 6 153-71
8. Son (Pubitemid 30468997)
9. Stejskal E O and Tanner J E 1965 Spin diffusion measurements: spin echoes in the presence of a timedependent field gradient J. Chem. Phys. 42 288-92
10. Cotts R M, Hoch M J R, Sun T and Markert J T 1989 Pulsed field gradient-stimulated echo methods for improved NMR diffusion measurements in heterogeneous systems J. Magn. Res. 83 252-66
11. Callaghan P T 1991 Principles of Magnetic Resonance Microscopy (Oxford: Clarendon)
12. Seland J G, Sørland G H, Zick K and Hafskjold B 2000 Diffusion measurements at long observation times in the presence of spatially variable internal magnetic field gradients J. Magn. Res. 146 14-9
13. Freedman R, Heaton N, Flaum M, Hirasaki G J, Flaum C and Hürlimann M 2003 Wettability, saturation and viscosity from NMR measurements Soc. Pet. Eng. J. SPE 87340 317-27
14. Hürlimann M D, Flaum M, Venkataramanan L, Flaum C, Freedman R and Hirasaki G J 2003 Diffusion-relaxation distribution functions of sedimentary rocks in different saturation states Magn. Reson. Imaging 21 305-10 (Pubitemid 36874860)
15. Robert Wilson C and Hürlimann M D 2006 Relationship between susceptibility induced field inhomogeneities, restricted diffusion and relaxation in sedimentary rocks J. Magn. Res. 183 1-12 (Pubitemid 44692513)
16. Tanner J E 1970 Use of the stimulated echo in NMR diffusion studies J. Chem. Phys. 52 2523-6
17. Eldén L and Skoglund I 1982 Algorithms for the regularization of ill-conditioned least squares problems with tensor product structure and application to space-variant image restoration Technical Report LiTH-MATR-1982-48 (Linköping, Sweden: Department of Mathematics, Linköping University)
18. Venkataramanan L, Song Y-Q and Hürliman M D 2002 Solving Fredholm integrals of the first kind with tensor product structure in 2 and 2.5 dimensions IEEE Trans. Signal Process. 50 1017-26 (Pubitemid 34515263)
19. Lawson C L and Hansen R J 1974 Solving Least Squares Problems (Englewood Cliffs, NJ: Prentice-Hall)
20. Arns C H, Washburn K E and Callaghan P T 2007 Multidimensional NMR inverse Laplace spectroscopy in petrophysics Petrophysics 48 380-92
21. Robertson B 1966 Spin-echo decay of spins diffusing in a bounded region Phys. Rev. 151 273-7
22. Neuman C 1974 Spin echo of spins diffusing in a bounded medium J. Chem. Phys. 60 4508-11
23. Alexander Sukstanskii L and Dmitriy Yablonskiy A 2002 Effects of restricted diffusion on MR signal formation J. Magn. Res. 157 92-105
24. Helmer K G, Hürlimann M D, De Swiet T M, Sen P N and Sotak C H 1995 Determination of ratio of surface area to pore volume from restricted diffusion in a constant field gradient J. Magn. Res. A 115 257-9
25. Appel M, Freeman J J, Gardner J S, Hirasaki G H, Zhang G Q and Shafer J L 2001 Interpretation of restricted diffusion in sandstones with internal field gradients Mag. Reson. Imaging 19 535-7 (Pubitemid 32692231)
26. Hürlimann M D 1998 Effective gradients in porous media due to susceptibility differences J. Magn. Res.131 232-40 (Pubitemid 128450561)
27. Shafer J L, Mardon D and Gardner J 1999 Diffusion effects on NMR response of oil and water in rock: impact of internal gradients Reservoir Engineering Applications of Core Analysis Data, 13rd Int. Symp. of the Society of Core Analysts, Golden, Colorado (Society of Core Analysts) number SCA-9916
28. Dunn K-J 2001 Magnetic susceptibility contrast induced field gradients in porous media Magn. Reson. Imaging 19 439-42 (Pubitemid 32692208)
29. Dunn K-J, Appel M, Freeman J J, Gardner J S, Hirasaki G J, Shafer J L and Zhang G 2001 Interpretation of restricted diffusion and internal field gradients in rock data SPWLA 42th Annu. Logging Symp. (Society of Petrophysicists and Well Log Analyst) paper AAA 1-12
30. Grebenkov D S 2010 Use, misuse and abuse of apparent diffusion coefficients Concepts Magn. Res. A 36 24-35
31. Seland J G, Washburn K E, Anthonsen H W and Krane J 2004 Correlations between diffusion, internal magnetic field gradients, and transverse relaxation in porous systems containing oil and water Phys. Rev. E 70 051305
32. Doussal P L and Sen P N 1992 Decay of nuclear magnetization by diffusion in a parabolic magnetic field: an exactly solvable model Phys. Rev. B 46 3465-85
33. Carr H Y and Purcell E M 1954 Effects of diffusion on free precession in nuclear magnetic resonance problems Phys. Rev. 94 630
34. Mendelson K S 1990 Percolation model of nuclear magnetic relaxation in porous media Phys. Rev. B41 562-7
35. Wilkinson D J, Johnson D L and Schwartz M 1991 Nuclear magnetic relaxation in porous media: the role of the mean lifetime τ (ρ d)Phys. Rev. B 44 4960-73
36. Toumelin E and Torres-Verdín C 2003 Modeling of multiple echo-time NMR measurements for complex pore geometries and multiphase saturations SPE Reser. Eval. Eng. SPE 85635
37. Arns C H, Sheppard A P, Sok R M and Knackstedt M A 2007 NMR petrophysical predictions on digitized core images Petrophysics 48 202-21 (Pubitemid 46954518)
38. Zhang G Q and Hirasaki G J 2003 CPMG relaxation by diffusion with constant magnetic field gradient in a restricted geometry: numerical simulation and application J. Magn. Res. 163 81-91
39. Zhang G Q, Hirasaki G J and House W V 2003 Internal field gradients in porous media Petrophysics 44 422-34
40. Arns C H, Melean Y, Burcaw L, Callaghan P T and Washburn K E 2009 Comparison of experimental NMR measurements with simulated responses on digitized images of mono-mineralic rocks using x-ray-CT Improved Core Analysis for Unconventional Fields, 23rd Int. Symp. of the Society of Core Analysts (Noordwijk, 27-30 September 2009) (Dublin, California: Society of Core Analysts) number SCA2009-44,pp 1-6
41. Sakellariou A, Arns C H, Sheppard A P, Sok M, Averdunk H, Limaye A, Jones A C, Senden T J and Knackstedt M A 2007 Developing a virtual materials laboratory Mater. Today 10 44-51 (Pubitemid 350102323)
42. Thovert J-F, Yousefian F, Spanne P, Jacquin C G and Adler P M 2001 Grain reconstruction of porous media: application to a low-porosity Fontainebleau sandstone Phys. Rev. E 63 061307
43. Turner M, Knüfing L, Arns C H, Sakellariou A, Senden T J, Sheppard A P, Sok R M, Limaye A, Pinczewski W V and Knackstedt M A 2004 Three-dimensional imaging of multiphase flow in porous media Physica A 339 166-72
44. Latham S, Varslot T and Sheppard A 2008 Image registration: enhancing and calibrating X-ray micro-CT imaging Challenges in Carbonates and Solutions for Field Development, 22rd Int. Symp. of the Society of Core Analysts (Abu Dhabi, UAE, 29 October-2 November 2008) vol 35 (Dublin, California: Society of Core Analysts) pp 1-12
45. Kumar M, Senden T J, Sheppard A P, Middleton J P and Knackstedt M A 2009 Visualizing and quantifying the residual phase distribution in core material Improved Core Analysis for Unconventional Fields, 23rd Int. Symp. of the Society of Core Analysts (Noordwijk, 27-30 September 2009) (Dublin, California: Society of Core Analysts) number SCA2009-16, pp 1-12
46. Song Y-Q 2003 Novel NMR techniques for porous media research Magn. Reson. Imaging 21 207-11 (Pubitemid 36874846)
47. Potter D K, AlGhamdi TMand Ivakhnenko O P 2008 Sensitive carbonate reservoir rock characterization from magnetic susceptibility: mineral quantification, correlation with petrophysical properties and anisotropy Int. Symp. of the Society of Core Analysts, Abu Dhabi (Dublin, California: Society of Core Analysts) pp SCA2008-10
48. Bergman D J, Dunn K-J, Schwartz L M and Mitra P P 1995 Self-diffusion in a periodic porous medium: A comparison of different approaches Phys. Rev. E 51 3393-400
49. Lo S-W, Hirasaki G J, House W V and Kabayashi R 2002 Mixing rules and correlations of NMR relaxation times with viscosity, diffusivity and gas/oil ratio of methane/hydrocarbon mixtures Soc. Pet. Eng. J. 7 24-34 (Pubitemid 34404989)