The Mechanical Coupling of Fluid-Filled Granular Material Under Shear

Pure and Applied Geophysics

Volumn 168, Issue 12, 2011, Pages 2289-2323

  Goren, L ^a,b   Aharonov, E ^a   Sparks, D ^c   Toussaint, R ^d  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^b ETH ZURICH   (Switzerland)

^c TEXAS A AND M UNIVERSITY   (United States)

^d UNIVERSITÉ DE STRASBOURG EOST   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CATASTROPHIC EVENT; DEPRESSURIZATIONS; EARTH SYSTEMS; EXTERNAL LOADS; FAULT GOUGE; FLUID-FILLED; FULLY-COUPLED MODEL; GEOSYSTEMS; GRAIN DYNAMICS; GRANULAR DYNAMICS; GRANULAR MEDIA; GRANULAR SKELETON; GRANULAR SYSTEM; LINEAR RELATIONSHIPS; MECHANICAL COUPLING; MOMENTUM CONSERVATIONS; PORE FLUID PRESSURE; PORE FLUIDS; PORE SPACE; SATURATED SOILS; SHEAR RESISTANCES; SHEAR ZONE; UNDRAINED; UNDRAINED CONDITIONS; VISCOELASTIC RHEOLOGY; VOLUMETRIC STRAIN;

DYNAMICS; ELASTICITY; GRANULAR MATERIALS; LANDSLIDES; PORE PRESSURE;

SOIL LIQUEFACTION;

DEFORMATION MECHANISM; EARTHQUAKE MECHANISM; FLUID PRESSURE; GRANULAR MEDIUM; LANDSLIDE; LIQUEFACTION; PORE PRESSURE; SHEAR ZONE; STRAIN RATE; TRIGGER MECHANISM; VISCOELASTICITY;

EID: 80052774329     PISSN: 00334553     EISSN: 14209136     Source Type: Journal    
DOI: 10.1007/s00024-011-0320-4     Document Type: Article

References (58)

1. E. Aharonov and D. Sparks. Rigidity phase transition in granular packings. Phys. Rev. E, 60(6): 6890-6896, 1999. doi: 10. 1103/PhysRevE. 60. 6890.
2. E. Aharonov and D. Sparks. Shear profiles and localization in simulations of granular materials. Phys. Rev. E, 65(5), 2002. doi: 10. 1103/PhysRevE. 65. 051302.
3. M. H. Anders, E. Aharonov, and J. J. Walsh. Stratified granular media beneath large slide blocks: Implications for mode of emplacement. Geology, 28(11): 971-974, 2000.
4. R. Bachrach, A. Nur, and A. Agnon. Liquefaction and dynamic poroelasticity in soft sediments. J. Geophys. Res., 106(B7): 13515-13526, 2001.
5. M. A. Biot. General theory for three-dimensional consolidation. J. Appl. Phys., 12(155), 1941.
6. M. L. Blanpied, D. A. Lockner, and J. D. Byerlee. An earthquake mechanism based on rapid sealing of faults. Nature, 358(6387): 574-576, 1992.
7. A.-M. Boullier, E.-C. Yeh, S. Boutareaud, S.-R. Song, and C.-H. Tsai. Microscale anatomy of the 1999 Chi-Chi earthquake fault zone. Geochem. Geophys. Geosy., 10, 2009. doi: 10. 1029/2008GC002252.
8. G. Castro. Liquefaction and cyclic mobility of saturated sand. J. Geotech. Eng. Div., ASCE, 101(6): 551-569, 1975.
9. K. O. Cetin, N. Isik, and B. Unutmaz. Seismically induced landslide at Degirmendere Nose, Izmit bay during Kocaeli (Izmit)-Turkey earthquake. Soil Dyn. Earthquake Eng., 24(3): 189-197, 2004. doi: 10. 1016/j. soildyn. 2003. 11. 007.
10. P. A. Cundall and O. D. L. Strack. A discrete numerical model for granular assemblies. Géotechnique, 29(1): 47-65, 1979.
11. M. B. Das. Principles of Soil Mechanics. PWS-Kent, Boston, Mass., 1993.
12. U. El Shamy and M. Zeghal. A micro-mechanical investigation of the dynamic response and liquefaction of saturated granular soils. Soil Dyn. Earthquake Eng., 27(8): 712-729, 2007. doi: 10. 1016/j. soildyn. 2006. 12. 010.
13. W. D. L. Finn, D. J. Pickering, and P. L. Bransby. Sand liquefaction in triaxial and simple shear tests. J. Soil Mech. Found. Div. Proc., 97(4): 639-659, 1971.
14. E. G. Flekkøy, A. Malthe-Sørenssen, and B. Jamtveit. Modeling hydrofracture. J. Geophys. Res., 107(B8), 2002. doi: 10. 1029/2000JB000132.
15. E. J. Gabet and S. M. Mudd. The mobilization of debris flows from shallow landslides. Geomorphology, 74: 207-218, 2006. doi: 10. 1016/j. geomorph. 2005. 08. 013.
16. V. K. Garga and H. Zhang. Volume changes in undrained triaxial tests on sands. Can. Geotech. J., 34: 762-772, 1997.
17. L. Goren, E. Aharonov, D. Sparks, and R. Toussaint. Pore pressure evolution in deforming granular material: A general formulation and the infinitely stiff approximation. J. Geophys. Res., 115(B09216), 2010. doi: 10. 1029/2009JB007191.
18. R. M. Iverson. Differential-equations governing slip-induced pore-pressure fluctuations in a water-saturated granular medium. Math. Geol., 25(8): 1027-1048, 1993.
19. R. M. Iverson and R. G. LaHusen. Dynamic pore-pressure fluctuations in rapidly shearing granular-material. Science, 246(4931): 796-799, 1989.
20. R. M. Iverson, M. E. Reid, N. R. Iverson, R. G. LaHusen, M. Logan, J. E. Mann, and D. L. Brien. Acute sensitivity of landslide rates to initial soil porosity. Science, 290(5491): 513-516, 2000. doi: 10. 1126/science. 290. 5491. 513.
21. Ø. Johnsen, R. Toussaint, K. L. Måløy, and E. G. Flekkøy. Pattern formation during air injection into granular materials confined in a circular Hele-Shaw cell. Phys. Rev. E, 74(1), 2006. doi: 10. 1103/PhysRevE. 74. 011301.
22. Ø. Johnsen, R. Toussaint, K. J. Måløy, E. G. Flekkøy, and J. Schmittbuhl. Coupled air/granular flow in a linear Hele-Shaw cell. Phys. Rev. E, 77(1), 2007. doi: 10. 1103/PhysRevE. 77. 011301.
23. Ø. Johnsen, C. Chevalier, A. Lindner, R. Toussaint, E. C. K. J. Måløy, E. G. Flekkøy, and J. Schmittbuhl. Decompaction and fluidization of a saturated and confined granular medium by injection of a viscous liquid or a gas. Phys. Rev. E, 78(5), 2008. doi: 10. 1103/PhysRevE. 78. 051302.
24. P. Jop, Y. Forterre, and O. Pouliquen. A constitutive law for dense granular flows. Nature, 441(7094): 727-730, 2006. doi: 10. 1038/nature04801.
25. F. Kawakami and A. Asada. Damage to the ground and earth structures by the Niigata earthquake of June 16, 1964. Soil and Foundation, 6(1): 14-30, 1966.
26. M. V. Kostadinov and I. Towhata. Assessment of liquefaction-inducing peak ground velocity and frequency of horizontal ground shaking at onset of phenomenon. Soil Dyn. Earthquake Eng., 22(4): 309-322, 2002. doi: 10. 1016/S0267-7261(02)00018-0).
27. V. G. Kozlov, A. A. Ivanova, and P. Evesque. Sand behavior in a cavity with incompressible liquid under vertical vibrations. Europhys. Lett., 42(3): 413-418, 1998.
28. S. L. Kramer. Geotechnical earthquake engineering. Prentice Hall, Inc., Upper Saddle River, New Jersey, 1996.
29. D. A. Lockner and J. D. Byerlee. Dilatancy in hydraulically isolated faults and the suppression of instability. Geophys. Res. Lett., 21(22), 1994.
30. C. Marone, C. B. Raleigh, and C. H. Scholz. Frictional behavior and constitutive modeling of simulated fault gouge. J. Geophys. Res., 95: 7007-7025, 1990.
31. S. McNamara, E. G. Flekkøy, and K. J. Måløy. Grains and gas flow: Molecular dynamics with hydrodynamic interactions. Phys. Rev. E, 61(4): 4054-4059, 2000.
32. S. A. Miller and A. Nur. Permeability as a toggle switch in fluid-controlled crustal processes. Earth Planet. Sci. Lett., 183: 133-146, 2000.
33. P. L. Moore and N. R. Iverson. Slow episodic shear of granular materials regulated by dilatant strengthening. Geology, 30(9): 843-846, 2002.
34. M. J. Niebling, E. G. Flekkøy, K. J. Måløy, and R. Toussaint. Sedimentation instabilities: Impact of the fluid compressibility and viscosity. Phys. Rev. E, 82(5), 2010. doi: 10. 1103/PhysRevE. 82. 051302.
35. A. Nur and J. D. Byerlee. An exact effective stress law for elastic deformation of rock with fluids. J. Geophys. Res., 76(26): 6414-6419, 1971.
36. Y. Okada and H. Ochiai. Coupling pore-water pressure with distinct element method and steady state strengths in numerical triaxial tests under undrained conditions. Landslides, 4: 357-369, 2007. doi: 10. 1007/s10346-007-0092-1.
37. T. Osswald. Polymer Processing Fundamental. Hanser/Gardner, Cincinnati, Ohio, 1998.
38. W. H. Peacock and H. B. Seed. Sand liquefaction under cyclic loading simple shear conditions. J. Soil Mech. Found. Div. Proc., 94(SM3): 689-708, 1968.
39. O. Pouliquen, C. Cassar, P. Jop, Y. Forterre, and M. Nicolas. Flow of dense granular material: towards simple constitutive laws. J. Stat. Mech: Theory Exp., JUL 2006. doi: 10. 1088/1742-5468/2006/07/P07020.
40. S. R. Pride. Relationships between seismic and hydrological properties. In Y. Rubin and S. S. Hybbard, editors, Hydrogeophysics, pages 253-291. Springer, Netherlands, 2005.
41. J. F. Richardson. Incipient fluidization and particulate system. In J. F. Davidson and D. Harrison, editors, Fluidization, pages 25-64. Academic Press, London, 1971.
42. P.-Y. F. Robin. Note on effective pressure. J. Geophys. Res., 78(14): 2434-2437, 1973.
43. L. Rondon, O. Pouliquen, and P. Aussillous. Granular collapse in a fluid: role of the initial volume fraction. Physics of Fluids. 2011, accepted.
44. J. W. Rudnicki and C. H. Chen. Stabilization of rapid frictional slip on a weakening fault by dilatant hardening. J. Geophys. Res., 93(B5): 4745-4757, 1988.
45. M. O. Saar and M. Manga. Depth dependence of permeability in the Oregon Cascades inferred from hydrologic, thermal, seismic and magnetic modeling constraints. J. Geophys. Res., 109(B04204), 2004. 10. 1029/2003JB002855.
46. A. Sagy and E. E. Brodsky. Geometric and rheological asperities in an exposed fault zone. J. Geophys. Res., 114, 2009. doi: 10. 1029/2008JB005701.
47. J. Samuelson, D. Elsworth, and C. Marone. Shear induced dilatancy of fluid saturated faults: experiment and theory. J. Geophys. Res., 2009. Submitted.
48. A. Sawicki and J. Mierczynski. Developments in modeling liquefaction of granular soils, caused by cyclic loads. Appl. Mech. Rev., 59: 91-106, 2006. doi: 10. 1115/1. 2130362.
49. J. Schäfer, S. Dippel, and D. E. Wolf. Force Schemes In Simulations If Granular Materials. J. Phys. I France, 6: 5-20, 1996.
50. C. H. Scholz. Velocity anomalies in dilatant rock. Science, 201(4354): 441-442, 1978.
51. C. H. Scholz. The Mechanics of Earthquakes and Faulting. Cambridge University Press, Cambridge, UK, 2002.
52. C. H. Scholz, L. R. Sykes, and Y. P. Aggarwal. Earthquake prediction-physical basis. Science, 181(4102): 803-810, 1973.
53. H. B. Seed. Soil liquefaction and cyclic mobility evaluation for level ground during earthquakes. J. Geotech. Geoenviron. Eng. Div., ASCE, 105: 201-255, 1979.
54. H. B. Seed and K. L. Lee. Liquefaction of saturated sand during cyclic loading. J. Soil Mech. Found. Div. Proc., ASCE, 92(SM6): 105-134, 1966.
55. H. B. Seed, J. Lysmer, and P. P. Martin. Pore-water pressure changes during soil liquefaction. J. Geotech. Eng. Div., ASCE, 102(4): 323-346, 1976.
56. P. Segall and J. R. Rice. Dilatancy, compaction, and slip instability of fluid-infiltrated fault. J. Geophys. Res., 100(B11): 22155-22171, 1995.
57. A. Snieder and A. van der Beukel. The liquefaction cycle and the role of drainage in liquefaction. Granular Matter, 6, 2004. doi: 10. 1007/s100035-0030151-9.
58. K. Soga. Soil liquefaction effects observed in the Kobe earthquake of 1995. Proceedings Of The Institution Of Civil Engineers-Geotechnical Engineering, 131(1): 34-51, 1998.