Coupled thermo-hydro-mechanical model for porous materials under frost action: Theory and implementation

Acta Geotechnica

Volumn 6, Issue 2, 2011, Pages 51-65

  Liu, Zhen ^a   Yu, Xiong ^a  

^a CASE WESTERN RESERVE UNIVERSITY   (United States)

Author keywords

Frost action; Hydro thermo mechanical model; Multiphysical model; Pavement; Unsaturated porous media

Indexed keywords

COMPUTER SIMULATION; FLUID FLOW; NUMERICAL MODEL; POROUS MEDIUM; THERMOMECHANICS; UNSATURATED MEDIUM;

EID: 79960071853     PISSN: 18611125     EISSN: 18611133     Source Type: Journal    
DOI: 10.1007/s11440-011-0135-6     Document Type: Article

References (69)

1. Anderson DM, Tice AR, McKim HL (1973) The unfrozen water and the apparent specific heat capacity of frozen soils. In: Proceedings of the second international conference on permafrost; North American contribution. Natl Acad Sci, Washington, DC, pp 289-295.
2. Bai M, Elsworth D (2000) Coupled processes in subsurface deformation, flow and transport. ASCE Press, Reston.
3. Bentz DP (2000) A computer model to predict the surface temperature and time-of-wetness of concrete pavements and bridge decks. NISTIR 6551, U. S. Department of Commerce.
4. Biot MA (1941) General theory of three-dimensional consolidation. J Appl Phys 12(2): 155-164.
5. Campbell GS (1985) Soil physics with BASIC: transport models for soil-plant systems. Elsevier, Amsterdam.
6. Cary JW (1965) Water flux in moist soil: thermal versus suction gradients. Soil Sci 100(3): 168-175.
7. Cary JW (1966) Soil moisture transport due to thermal gradients: practical aspects. Soil Sci Soc Am Proc 30(4): 428-433.
8. Cass AG, Campbell GS, Jones TL (1981) Hydraulic and thermal properties of soil samples from the buried waster test facility. PNL-4015, Pacific Northwest Laboratory, Richland.
9. Celia MA, Binning P (1992) A mass conservative numerical solution for two-phase flow in porous media with application to unsaturated flow. Water Resour Res 28: 2819-2828.
10. Celia MA, Bouloutas EF, Zarba RL (1990) A general mass-conservative numerical solution for the unsaturated flow equation. Water Resour Res 26(7): 1483-1496.
11. Chen JS, Lin KY, Young SY (2004) Effects of crack with permeability on moisture-induced damage of pavement. J Mater Civil Eng 16(3): 276-282.
12. Childs EC, Collis-George GN (1950) The permeability of porous materials. Proc R Soc Lond A 201: 392-405.
13. Coussy O (2005) Poromechanics. Wiley, Chichester.
14. Coussy O, Monteiro P (2007) Unsaturated poroelasticity for crystallization in pores. Comput Geotech 34: 279-290.
15. Dash JG (1989) Thermomolecular pressure in surface melting: motivation for frost heave. Science 246: 591-593.
16. Fayer MJ (2000) UNSAT-H version 3. 0: unsaturated soil water and heat flow model, theory, user manual, and examples, Report13249, Pac. Northwest Natl. Lab, Richland.
17. Fredlund DG, Rahardjo H (1993) Soil mechanics for unsaturated soils. Wiley, New York.
18. Fredlund DG, Xing A (1994) Equations for the soil-water characteristic curve. Can Geotech J 31: 521-532.
19. Fredlund DG, Xing A, Huang S (1994) Predicting the permeability function for unsaturated soils using the soil-water characteristic curve. Can Geotech J 31: 533-546.
20. Gardner WR (1958) Some steady-state solutions of the unsaturated moisture flow equation with application to evaporation from a water table. Soil Sci 85: 228-232.
21. Gilpin RR (1980) A model for the prediction of ice lensing and frost heave in soils. Water Resour Res 16: 918-930.
22. Guymon GL, Luthin JN (1974) A coupled heat and moisture transport model for arctic soils. Water Resour Res 10(5): 995-1001.
23. Hansson K, Simunek J, Mizoguchi M et al (2004) Water flow and heat transport in frozen soil: numerical solution and freeze-thaw applications. Vadose Zone J 3: 693-704.
24. Harlan RL (1973) Analysis of coupled heat-fluid transport in partially frozen soil. Water Resour Res 9: 1314-1323.
25. Heydinger AG (2003) Monitoring seasonal instrumentation and modeling climatic effects on pavements at the Ohio-SHRP test road, Report No. FHWA/OH-2003/018.
26. Horiguchi K, Miller RD (1980) Experimental studies with frozen soil in an "ice sandwich" permeameter. Cold Regions Sci Technol 3: 177-183.
27. Jame YW, Norum DI (1980) Heat and mass transfer in a freezing unsaturated porous medium. Water Resour Res 16(4): 811-819.
28. Konrad JM (1994) Sixteenth Canadian geotechnical colloquium-frost heave in soils: concepts and engineering. Can Geotech J 31(2): 223-245.
29. Konrad JM, Morgenstern NR (1981) The segregation potential of a freezing soil. Can Geotech J 18: 482-491.
30. Koopmans RWR (1966) Soil freezing and soil water characteristic curves. Soil Sci Soc Am Proc 30(6): 680-685.
31. Liu Y, Yu XB, Yu X (2009) Measurement of soil air suction change during freeze-thaw process with the aid of an innovative time domain reflectometry sensor. Can Geotech J (under review).
32. Lundin LC (1989) Water and heat flows in frozen soils. Basic theory and operational modeling. Ph. D. Thesis, Uppsala University, Uppsala, Sweden.
33. Masada T, Sargand SM (2001) Laboratory characterization of materials & data management for Ohio-SHRP projects (U. S. 23), Report No. FHWA/OH-2001/07.
34. McInnes KJ (1981) Thermal conductivities of soils from dryland wheat regions of Eastern Washington. M. S. Thesis, Washington State University, Pullman.
35. Miller RD (1978) Frost heaving in non-colloidal soils. In: Proceedings third international permafrost conference, Edmonton, Canada, pp 708-713.
36. Mizoguchi M (1990) Water heat and salt transport in freezing soil. Ph. D. Thesis, University of Tokyo.
37. Mizoguchi M (1993) A derivation of matric potential in frozen soil. Bulletin of the Faculty of Bioresources, Mie University, Tsu, Japan, no 10, pp 175-182.
38. Mualem Y (1986) Hydraulic conductivity of unsaturated soils: prediction and formulas. Methods of soil analysis, part I, 2nd edn. In: Klute A (ed) Agronomy monographs, no 9. ASA and SSSA, Madison, pp 799-823.
39. Newman GP, Wilson GW (1997) Heat and mass transfer in unsaturated soils during freezing. Can Geotech J 34: 63-70.
40. Nishimura S, Gens A, Olivella S, Jardine RJ (2009) THM-coupled finite element analysis of frozen soil: formulation and application. Geotechnique 59(3): 159-171.
41. Nixon JF (1992) Discrete ice lens theory for frost heave beneath pipelines. Can Geotech J 29(3): 487-497.
42. Noborio K, McInnes KJ, Heilman JL (1996) Two-dimensional model for water, heat and solute transport in furrow-irrigated soil: I. Theory. Soil Sci Soc Am Proc 60: 1001-1009.
43. Noborio K, McInnes KJ, Heilman JL (1996) Two-dimensional model for water, heat, and solute transport in furrow-irrigated soil: II. Field evaluation. Soil Sci Soc Am J 60: 1010-1021.
44. Noorishad J, Tsang CF, Witherspoon PA (1992) Theoretical and field studies of coupled hydromechanical behaviour of fractured rocks-1: development and verification of a numerical simulator. Int J Rock Mech Mining Sci 29(4): 401-409.
45. O'Neill K, Miller RD (1985) Exploration of a rigid ice model of frost heave. Water Resour Res 21(3): 281-296.
46. Philip JR, de Vries DA (1957) Moisture movement in porous materials under temperature gradients. Eos Trans Am Geophys Union 38: 222-232.
47. Reeves PC, Celia MA (1996) Functional relationships between capillary pressure, saturation, and interfacial area as revealed by a pore-scale network model. Water Resour Res 32: 2345-2358.
48. Rowe RK (2001) Geotechnical and geoenvironmental engineering handbook. Kluwer, Massachusetts.
49. Rutqvist J, Börgesson L, Chijimatsu M et al. (2001) Thermo-hydro-mechanics of partially saturated geological media: governing equations and formulation of four finite element models. Int J Rock Mech Mining Sci 38(1): 105-127.
50. Sahimi M (1995) Flow and transport in porous media and fractured rock. VCH, Weinheim.
51. Sawada S (1977) Temperature dependence of thermal conductivity of frozen soil. Research Report of Kitami Institute of Technology.
52. Schofield RK (1935) The pF of the water in soil. In: Transactions 3rd international congress of soil science, vol 2, no 22, pp 37-48.
53. Shao J (1994) A surface-temperature prediction model for porous asphalt pavement and its validation. Meteorol Appl 1(2): 89-98.
54. Sheng D, Axelsson K, Knutsson S (1995) Frost heave due to ice lens formation in freezing soils 1. Theory and verification. Nordic Hydrol 26(2): 125-146.
55. Simonsen E, Janoo VC (1997) Prediction of temperature and moisture changes in pavement structures. J Cold Regions Eng 11(4): 291-307.
56. Simunek J, Sejna M, van Genuchten MT (1998) The Hydrus-1D software package for simulating the one-dimensional movement of water, heat, and multiple solutes in variably-saturated media, user's manual, version 2. 0, U. S. Salinity Lab., Agricultural Research Service, Riverside.
57. Spaans M (1996) Monte Carlo models of the physical and chemical properties of inhomogeneous interstellar clouds. Astron Astrophys 307: 271-287.
58. Stephansson O, Jing L, Tsang CF (1996) Coupled thermo-hydro-mechanical processes of fractured media. Elsevier, Rotterdam.
59. Thomas HR, He Y (1995) Analysis of coupled heat, moisture and air transfer in a deformable unsaturated soil. Geotechnique 45(4): 677-689.
60. Thomas HR, He Y (1997) A coupled heat-moisture transfer theory for deformable unsaturated soil and its algorithmic implementation. Int J Numer Methods Eng 40: 3421-3441.
61. Thomas HR, King SD (1991) Coupled temperature/capillary potential variations in unsaturated soil. J Eng Mech 117(11): 2475-2491.
62. Thomas HR, Cleall P, Li YC et al (2009) Modelling of cryogenic processes in permafrost and seasonally frozen soils. Geotechnique 59(3): 173-184.
63. van Genuchten MT (1980) A close-form equation for predicting the hydraulic conductivity of unsaturated soil. Soil Sci Soc Am J 44(5): 892-898.
64. Watanabe K, Wake T (2008) Capillary bundle model of hydraulic conductivity for frozen soil. Water Resour Res 44: 1927-1932.
65. Wolfe WE, Butalia TS (2004) Seasonal instrumentation of SHRP pavement. Report No. FHWA/OH-2004/007.
66. Delaware County Water Resources. http://ohioline. osu. edu/aex-fact/0480_21. html.
67. Yavuzturk C, Ksaibati K (2002) Assessment of fluctuations in asphalt pavement due to thermal environmental conditions using a two-dimensional transient finite differential approach. Department of Civil and Architectural Engineering, University of Wyoming, Wyoming.
68. Yuan D, Nazarian S (2004) Variation in moduli of base and subgrade with moisture. In: Transportation Research Board 82nd Annual Meeting, 2003.
69. Zapata CE, Houston WN, Houston SL et al. (2000) Soil water characteristic curve variability. Adv Unsatur Geotech 84-123.