Rock physics modeling of unconsolidated sands: Accounting for nonuniform contacts and heterogeneous stress fields in the effective media approximation with applications to hydrocarbon exploration

Geophysics

Volumn 73, Issue 6, 2008, Pages

  Bachrach, Ran ^a   Avseth, Per ^b  

^a WESTERNGECO   (United States)

^b Rock Physics Technology AS   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; OFFSHORE GAS FIELDS; PETROLEUM PROSPECTING; SEISMIC PROSPECTING; SHEAR FLOW; SHEAR WAVES; STIFFNESS; WELL LOGGING;

AMPLITUDE VARIATIONS; EFFECTIVE MEDIA APPROXIMATION; EFFECTIVE MEDIUM APPROXIMATION; HYDROCARBON EXPLORATION; LABORATORY AND FIELD EXPERIMENTS; SHEAR WAVE VELOCITY; UNCONSOLIDATED SANDS; UNCONSOLIDATED SEDIMENT;

DISCOVERY WELLS;

ELASTICITY; HYDROCARBON EXPLORATION; HYDROCARBON RESERVOIR; MICROMECHANICS; MODELING; OIL WELL; S-WAVE; SOURCE ROCK; STIFFNESS; STRESS FIELD; UNCONSOLIDATED MEDIUM; WAVE VELOCITY; WELL LOGGING;

ATLANTIC OCEAN; GULF OF MEXICO; NORTH SEA;

EID: 57149111926     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.2985821     Document Type: Article

References (32)

1. Ammi, B., D. Bideau, and J. P. Troadec, 1987, Geometrical structure of disordered packing of regular polygons, comparison with disc packing structure: Journal of Physics D-Applied Physics, 20, 424-428. jpd JPAPBE 0022-3727 10.1088/0022-3727/20/4/005
2. S ratios and diagenesis: 75th Annual International Meeting, SEG, Expanded Abstracts, 1473-1476.
3. Avseth, P., R. Bachrach, A.-J. van Wijngaarden, T. Fristad, and E. Ødegaard, 2007, Application of contact mechanics to hydrocarbon prediction in shallow sediments: 69th Conference & Technical Exhibition, EAGE, Extended Abstracts, F024.
4. Avseth, P., T. Mukerji, and G. Mavko, 2005, Quantitative seismic interpretation: Applying rock physics tools to reduce interpretation risk: Cambridge University Press.
5. Bachrach, R., J. Dvorkin, and A. Nur, 2000, Seismic velocities and Poisson's ratio of shallow unconsolidated sands: Geophysics, 65, 559-564. gpy GPYSA7 0016-8033 10.1190/1.1444751
6. Bachrach, R., S. Noeth, N. Banick, M. Sengupta, G. Bunge, B. Flack, R. Utech, C. Sayers, P. Hooyman, L. den Boer, L. Leu, W. Troyer, and J. Moore, 2007, From pore-pressure prediction to reservoir characterization: A combined geomechanics-seismic inversion workflow using trend-kriging techniques in a deepwater basin: The Leading Edge, 26, 590-595. lee LEEDFF 1070-485X 10.1190/1.2737099
7. Bowers, G. L., 1995, Pore pressure estimation from velocity data: Accounting for overpressure mechanisms beside undercompaction: Society of Petroleum Engineers Drilling & Completion paper 27488.
8. Digby, P. J., 1981, The effective elastic moduli of porous granular rocks: Journal of Applied Mechanics, 48, 803-808. jah JAMCAV 0021-8936
9. Gassmann, F., 1951, Elastic wave through a packing of spheres: Geophysics, 16, 673-685. gpy GPYSA7 0016-8033 10.1190/1.1437718
10. Geng, J., D. Howell, R. P. Behringer, G. Reydellet, L. Vanel, and E. Clement, 2001, Footprints in the sands: The response of granular material to local perturbations: Physical Review Letters, 87, 035506. prl PRLTAO 0031-9007 10.1103/PhysRevLett.87.035506
11. Goddard, J. D., 1990, Nonlinear elasticity and pressure-dependent wave speeds in granular media: Proceedings of the Royal Society of London, Series A, Mathematical and Physical Sciences, 430, 105-131. prz PRLAAZ 1364-5021 10.1098/rspa.1990.0083
12. Johnson, K. L., 1985, Contact mechanics: Cambridge University Press.
13. Love, A. E. H, 1927, A treatise on the mathematical theory of elasticity: Cambridge University Press.
14. Majmaudar, T. S., and R. P. Behringer, 2005, Contact force measurements and stress-induced anisotropy in granular materials: Nature, 23, 1079-1082. bnh NATUAS 0028-0836
15. Makse, H. A., N. Gland, D. L. Johnson, and L. Schwartz, 1999, Why effective medium theory fails in granular materials: Physical Review Letters, 83, 5070-5073. prl PRLTAO 0031-9007 10.1103/PhysRevLett.83.5070
16. 2004, Granular packings: Nonlinear elasticity, sound propagation and collective relaxation dynamics: Physical Review E, 70, 061302. pre PLEEE8 1063-651X 10.1103/PhysRevE.70.061302
17. S in granular rocks?: Geophysical Research Letters, 25, no. 3, 381-384. 9pr HFEMF5 1090-8471
18. Mavko, G., T. Mukerji, and J. Dvorkin, 1998, The rock physics handbook: Cambridge University Press.
19. Mindlin, R. D., 1949, Compliance of bodies in contact: Journal of Applied Mechanics, 16, 259-268. jah JAMCAV 0021-8936
20. Mueth, M. D., H. M. Jaeger, and S. R. Nagel, 1998, Force distribution in granular medium: Physical Review E, 57, 3164-3169. pre PLEEE8 1063-651X 10.1103/PhysRevE.57.3164
21. Muhlhaus, H. B., and F. Oka, 1996, Dispersion and wave propagation in discrete and continuous models for granular materials: International Journal of Solids and Structures, 33, 2841-2858. ijl IJSOAD 0020-7683 10.1016/0020-7683(95)00178-6
22. Murphy, W. F., 1982, Effect of microstructure and pore fluids on the acoustic properties of granular sedimentary materials: Ph.D. dissertation, Stanford University.
23. Norris, A. N., and D. L. Johnson, 1997, Non-linear elasticity of granular media: Journal of Applied Mechanics, 64, 39-49. jah JAMCAV 0021-8936 10.1115/1.2787292
24. Ødegaard, E., and P. Avseth, 2004, Well log and seismic data analysis using rock physics templates: First Break, 22, 37-43.
25. Pasternak, E., H. B. Muhlhaus, and A. V. Dyskin, 2006, Finite deformation model of simple shear of fault with microrotations: Apparent strain localisation and en-echelon fracture pattern: Philosophical Magazine, 86, 3339-3371. azz PMHABF 1478-6435
26. Sava, D., and B. Hardage, 2006, Rock physics models of gas hydrates from deepwater, unconsolidated sediments: 76th Annual International Meeting, SEG, Expanded Abstracts, 1913-1917.
27. Sayers, C. M., 2006, Sensitivity of time lapse seismic to reservoir stress path: Geophysical Prospecting, 54, 369-380. 8uc GPPRAR 0016-8025 10.1111/j.1365-2478.2006.00539.x
28. Vega, S., 2003, Intrinsic and stress-induced velocity anisotropy in unconsolidated sands: Ph.D. dissertation, Stanford University.
29. Walton, K., 1987, The effective moduli of a random packing of spheres: Journal of the Mechanics and Physics of Solids, 33, 213-226. jmx JMPSA8 0022-5096
30. Winkler, K. W., 1983, Contact stiffness in granular and porous materials: Comparison between theory and experiment: Geophysical Research Letters, 10, 1073-1076. 9pr HFEMF5 1090-8471
31. Xu, S., 2002, Stress-induced anisotropy in unconsolidated sands and its effect on AVO analysis: 72nd Annual International Meeting, SEG, Expanded Abstracts, 105-108.
32. Zimmer, M., M. Prasad, G. Mavko, and A. Nur, 2007, Seismic velocities in unconsolidated sands: Part 1-Pressure trends from 0.1 to 20 MPa: Geophysics, 72, no. 6, E1-E13. gpy GPYSA7 0016-8033 10.1190/1.2399459