Simulation of cavitation in water saturated porous media considering effects of dissolved air

Transport in Porous Media

Volumn 81, Issue 1, 2010, Pages 141-160

  Gawin, Dariusz ^a   Sanavia, Lorenzo ^b  

^a LODZ UNIVERSITY OF TECHNOLOGY   (Poland)

^b UNIVERSITY OF PADOVA   (Italy)

Author keywords

Air dissolution and desorption; Coupled thermo hydro mechanical model; Multiphase porous material; Poromechanics; Strain localization; Water cavitation

Indexed keywords

COUPLED THERMO-HYDRO-MECHANICAL MODEL; HYDROMECHANICAL MODEL; MULTIPHASE POROUS MATERIALS; PORO-MECHANICS; STRAIN LOCALIZATIONS; WATER CAVITATION;

CAVITATION; COMPUTER SIMULATION; DESORPTION; LIQUIDS; MATHEMATICAL MODELS; POROUS MATERIALS;

DISSOLUTION;

AIRFLOW; CAVITATION; DESORPTION; DISSOLUTION; FINITE ELEMENT METHOD; FLOW MODELING; MULTIPHASE FLOW; NUMERICAL MODEL; POROUS MEDIUM; SIMULATION; STRAIN;

EID: 76149139454     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-009-9391-4     Document Type: Article

References (62)

1. Alonso E. E., Gens A., Josa A.: A constitutive model for partially saturated soils. Geotechnique 40, 403-430 (1990).
2. Atkins P., dePaula J.: Atkins' Physical Chemistry, 7 edn. Oxford University Press, New York (2002).
3. Baur, T., Köngeter, J., Leucker, R.: Effects of dissolved gas on cavitation inception in free surface flows. In: Michel, J. M. et al. (eds.) Proceedings of the Third International Symposium on Cavitation: Cavitation 98, vol. 1, pp. 155-159. Grenoble, France, 7-10 April 1998.
4. Bear, J.: Dynamics of Fluids in Porous Media, Dover. ISBN 0-486-65675-6 (1972).
5. Benallal A., Comi C.: On numerical analysis in the presence of unstable saturated porous materials. Int. J. Numer. Methods Eng. 56, 883-910 (2003). doi: 10. 1002/nme. 597.
6. Bianco M., Bilardi G., Pesavento F., Pucci G., Schrefler B. A.: A frontal solver tuned for fully coupled non-linear hygro-thermo-mechanical problems. Int. J. Numer. Methods Eng. 57, 1801-1818 (2003). doi: 10. 1002/nme. 735.
7. Bolzon G., Schrefler B. A., Zienkiewicz O. C.: Elastoplastic soil constitutive laws generalized to partially saturated states. Geotechnique 46, 279-289 (1996).
8. Borja R. I.: Cam-Clay plasticity. Part V: a mathematical framework for three-phase deformation and strain localization analyses of partially saturated porous media. Comput. Methods Appl. Mech. Eng. 193, 5301-5338 (2004). doi: 10. 1016/j. cma. 2003. 12. 067.
9. Brooks R. N., Corey A. T.: Properties of porous media affecting fluid flow. J. Irrig. Drain. Div 92(IR2), 61-68 (1966).
10. Chambon R., Desrues J., Charlier R., Hammad W.: CLoE, a new rate type constitutive model for geomaterials: theoretical basis and implementation. Int. J. Numer. Anal. Methods Geomech. 18(4), 253-278 (1994). doi: 10. 1002/nag. 1610180404.
11. Ehlers W., Volk W.: Localization Phenomena in Liquid-Saturated and Empty Porous Solids. Transp. Porous Media 34, 159-177 (1999). doi: 10. 1023/A: 1006513525025.
12. Ehlers W., Graf T., Ammann M.: Deformation and localization analysis of partially saturated soil. Comput. Methods Appl. Mech. Eng. 193, 2885-2910 (2004). doi: 10. 1016/j. cma. 2003. 09. 026.
13. François, B., Laloui, L.: ACMEG-TS: a constitutive model for unsaturated soils under non-isothermal conditions. Int. J. Numer. Anal. Meth. Geomech. (2008). doi: 10. 1002/nag. 712.
14. Gawin D., Schrefler B. A.: Thermo-hydro-mechanical analysis of partially saturated porous materials. Eng. Comput. 13(7), 113-143 (1996). doi: 10. 1108/02644409610151584.
15. Gawin D., Simoni L., Schrefler B. A.: Numerical model for hydro-mechanical behaviour in deformable porous media: a benchmark problem. In: Jian-Xin, Y.(eds) Computer Methods and Advances in Geomechanics, vol. 2, pp. 1143-1148. Balkema, Rotterdam (1997).
16. Gawin D., Sanavia L., Schrefler B. A.: Cavitation modelling in saturated geomaterials with application to dynamic strain localisation. Int. J. Numer. Methods Fluids 27, 109-125 (1998). doi: 10.1002/(SICI)1097-0363(199801)27:1/4<109:: AID-FLD653> 3. 0. CO; 2-M.
17. Gens A., Garcia-Molina A. J., Olivella S., Alonso E. E., Huertas F.: Analysis of a full scale in situ teist simulating repository conditions. Int. J. Numer. Anal. Methods Geomech. 22, 515-548 (1998). doi: 10. 1002/(SICI)1096-9853(199807)22: 7<515:: AID-NAG926> 3. 0. CO; 2-8.
18. Gray W. G., Hassanizadeh M.: Unsaturated flow theory including interfacial phenomena. Water Resour. Res. 27(8), 1855-1863 (1991). doi: 10. 1029/91WR01260.
19. Habib P.: Production of gaseous pore pressure during rock slides. Rock Mech. 7, 193-197 (1975). doi: 10. 1007/BF01246865.
20. Hassanizadeh M., Gray W. G.: General conservation equations for multi-phase system: 1. Averaging technique. Adv. Water Resour. 2, 131-144 (1979a). doi: 10. 1016/0309-1708(79)90025-3.
21. Hassanizadeh M., Gray W. G.: General conservation equations for multi-phase system: 2. Mass, momenta, energy and entropy equations. Adv. Water Resour. 2, 191-201 (1979). doi: 10. 1016/0309-1708(79)90035-6.
22. Hassanizadeh M., Gray W. G.: Generalconservationequationsformulti-phasesystem 3. Constitutive theory for porous media flow. Adv. Water Resour. 3, 25-40 (1980). doi: 10. 1016/0309-1708(80)90016-0.
23. Hendron, A. J., Patton, F. D.: The Vaiont slide, a geotechnical analysis based on new geologic observations of the failure surface, Technical Report GL-85-5. Washington DC, Department of the Army US Corps of Engineers vol. I (1985).
24. Hutter K., Laloui L., Vulliet L.: Thermodynamically based mixture models of saturated and unsaturated soils. Mechan. Cohes.-Frict. Mater. 4, 295-338 (1999).
25. Khalili N., Loret B.: An elasto-plastic model for non-isothermal analysis of flow and deformation in unsaturated porous media: formulation. Int. J. Solids Struct. 38, 8305-8330 (2001). doi: 10. 1016/S0020-7683(01)00081-6.
26. Kwak H. Y., Kim Y. W.: Homogeneous nucleation and macroscopic growth of gas bubble in organic solutions. Int. Heat Mass Transf. 41(4-5), 757-767 (1998). doi: 10. 1016/S0017-9310(97)00182-8.
27. LeBihan J. P., Leroueil S.: A model for gas and water flow through the core of earth dams. Can. Geotech. J. 39(1), 90-102 (2002).
28. Lewis R. W., Schrefler B. A.: The Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media. Wiley, Chichester (1998).
29. Liakopoulos, A. C.: Transient flow through unsaturated porous media. PhD thesis, University of California, Berkeley (CA), USA (1965).
30. Liu X., Scarpas J., Blaauwendraad J.: Numerical modelling of nonlinear response of soils. Part 2: strain localization investigation on sand. Int. J. Solids Struct. 42, 1883-1907 (2005).
31. Maris H., Balibar S.: Negative pressures and cavitation in liquid Helium. Phys. Today 53(2), 29-34 (2000).
32. McManus K. J., Davis R. O.: Dilatation induced pore fluid cavitation in sands. Géotechnique 47(1), 173-177 (1997).
33. Mercury L., Tardy Y.: Negative pressure of stretched liquid water. Geochemistry of soil capillaries. Geochim. Cosmochim. Acta 65(20), 3391-3408 (2001a).
34. Mercury, L., Tardy, Y.: Response to the Comment by J. V. Walther on "Negative pressure of stretched liquid water. Geochemistry of soil capillaries." (2001) Geochim. Cosmochim. Acta 65, 3391-3408.
35. and "Thermodynamic properties of solutions in metastable systems under negative or positive pressures." (2003) Geochim. Cosmochim. Acta 67, 1769-1785.
36. Geochim. Cosmochim. Acta. 68(12), 2775-2780 (2004).
37. Mercury L., Azaroual M., Zeyen H., Tardy Y.: Thermodynamic properties of solutions in metastable systems under negative or positive pressures. Geochim. Cosmochim. Acta 67(10), 1769-1785 (2003).
38. Mercury L., Pinti D. L., Zeyen H.: The effect of negative pressure of capillary water on atmospheric noble gas solubility in ground water and palaeotemperature reconstruction. Earth Planet. Sci. Lett. 223, 147-161 (2004).
39. Mira P., Pastor M., Li T., Liu X.: Failure problems in soils: an enhanced strain coupled formulation with application to localization problems. Revue frana̧ise de genie civil 8, 735-759 (2004).
40. Mokni M., Desrues J.: Strain localisation measurements in undrained plane-strain biaxial tests on Hostun RF sand. Mechan. Cohes.-Frict. Mater. 4, 419-441 (1998).
41. Olivella S., Carrera J., Gens A., Alonso E. E.: Nonisothermal multiphase flow of brine and gas through saline media. Transp. Porous Media 15, 271-293 (1994).
42. Or D., Tuller M.: Cavitation during desaturation of porous media under tension. Water Resour. Res. 38(5), 1061-1064 (2002).
43. Rudnicki J. W., Rice J. R.: Conditions for the localization of deformation in pressure-sensitive dilatant materials. J. Mech. Phys. Solids 23, 371-394 (1975).
44. Safai N. M., Pinder G. F.: Vertical and horizontal land deformation in a desaturating porous medium. Adv. Water Res. 2, 19-25 (1979).
45. Sanavia L., Schrefler B. A., Steinmann P.: A formulation for an unsaturated porous medium undergoing large inelastic strains. Comput. Mech. 28, 137-151 (2002).
46. Sanavia L., Pesavento F., Schrefler B. A.: Finite element analysis of non-isothermal multiphase geomaterials with application to strain localization simulation. Comput. Mech. 37(4), 331-348 (2006).
47. Schrefler, B. A.: The finite element method in soil consolidation (with applications to surface subsidence). PhD. Thesis, University College of Swansea, C/Ph/76/84, Swansea UK (1984).
48. Schrefler B. A.: Mechanics and thermodynamics of saturated-unsaturated porous materials and quantitative solutions. Appl. Mech. Rev. 55(4), 351-388 (2002).
49. Schrefler B. A., Gawin D.: The effective stress principle: incremental or finite form?. Int. J. Numer. Anal. Methods Geomech. 20(11), 785-815 (1996).
50. Schrefler B. A., Majorana C. E., Sanavia L.: Shear band localisation in saturated porous media. Arch. Mech. 47, 577-599 (1995).
51. Schrefler B. A., Sanavia L., Majorana C. E.: A multiphase medium model for localisation and postlocalisation simulation in geomaterials. Mech. Cohes.-Frict. Mater. 1, 95-114 (1996).
52. Schrefler B. A., Zhang H. W., Sanavia L.: Fluid-structure interaction in the localisation of saturated porous media. ZAMM (J. Appl. Math. Mech.) 79(7), 481-484 (1999).
53. Schrefler B. A., Zhang H. W., Sanavia L.: Interaction between different internal length scales in fully and partially saturated porous media-the 1-D case. Int. J. Numer. Anal. Methods Geomech. 30, 45-70 (2006).
54. Shuttle D. A., Smith I. M.: Localisation in the presence of excess pore-water pressure. Comput. Geotech. 9, 87-99 (1990).
55. Stankiewicz A., Pamin J.: Finite element analysis of fluid influence on instabilities in two-phase Cam-clay plasticity model. Comput. Assist. Mech. Eng. Sci. 13, 669-682 (2006).
56. Tyree M. T.: The cohesion-tension theory of sap ascent: current controversies. J. Exp. Bot. 48(315), 1753-1765 (1997).
57. Vardoulakis I.: Dynamic stability analysis of undrained simple shear on water-saturated granular soils. Int. J. Numer. Anal. Methods Geomech. 10, 177-190 (1986).
58. Vardoulakis I., Sulem J.: Bifurcation Analysis in Geomechanics. Blackie Academic & Professional, Glasgow (1995).
59. Zhang H. W., Sanavia L., Schrefler B. A.: An internal length scale in dynamic strain localisation of multiphase porous media. Mech. Cohes.-Frict. Mater. 4, 443-460 (1999).
60. Zhang H. W., Sanavia L., Schrefler B. A.: Numerical analysis of dynamic strain localisation in initially water saturated dense sand with a modified generalised plasticity model. Comput. Struct. 79, 441-459 (2001).
61. Zhang H. W., Qin J. M., Sanavia L., Schrefler B. A.: Some theoretical aspects of strain localization analysis of multiphase porous media with regularized constitutive models. Mech. Adv. Mater. Struct. 14(2), 107-130 (2007).
62. Zheng Q., Durben D. J., Wolf G. H., Angell C. A.: Liquids at large negative pressures: water at the homogeneous nucleation limit. Science 254, 829-832 (1991).