Abstract
Macroscopic modeling of soils is based on a number of properties that refer to the mesoscopic morphology. The most fundamental parameters of this art are: 1) coupling parameters between partial stresses of components and deformations of components, 2) porosities, 3) saturation, and 4) permeability and diffusivity, tortuosity.
The main aim of this paper is to present in juxtaposition continuous one-, two-, and three-component models of geomaterials appearing in construction of embankment dams. In particular, the above mentioned features, especially saturation with water and seepage problems, modeling of fluidization yielding piping, and generalizations of the Darcy law and changes of porosity, are presented.
Similar content being viewed by others
References
Vaníček M, Vaníček I. Earth Structures in Transport, Water and Environmental Engineering (Geotechnical, Geological, and Earthquake Engineering). New York: Springer, 2008
Bowen R M. Incompressible porous media models by use of the theory of mixtures. International Journal of Engineering Science, 1980, 18(9):1129–1148
Muir Wood D. Soil Behaviour and Critical State Soil Mechanics. Cambridge: Cambridge University Press, 1991
Muir Wood D. Geotechnical Modelling. Oxfordshire: Spon Press, 2004
Lancellotta R. Geotechnical Engineering. Rotterdam: Balkema A A, 1995
Bauer E. Constitutive modeling of critical states in hypoplasticity. In: Pande, Pietruszczak, eds. Proceedings of the Fifth International Symposium on Numerical Models in Geomechanics. Rotterdam: Balkema A A, 1995, 1520
von Wolffersdorff P A. A hypoplastic relation for granular materials with a predefined limit state surface. Mechanics of Cohesivefrictional Materials, 1996, 1(3):251–271
Kolymbas D. A ratedependent constitutive equation for soils. Mechanics Research Communications, 1977, 4(6):367–372
Kolymbas D. Introduction to Hypoplasticity. Rotterdam: A A Balkema, 2000
Bauer E, Tantono S F, Zhu Y, Liu S, Kast K. Modeling rheological properties of materials for rockfill dams. In: Zhu Y, et al, eds, Long Time Effects and Seepage Behavior of Dams. Nanjing: Hohai University Press, 2008, 73–80
Goodman M A, Cowin S C. A continuum theory for granular materials. Archive for Rational Mechanics and Analysis, 1972, 44(4):249–266
Wang Y, Hutter K. A constitutive model of multiphase mixtures and its applications in shearing flows of saturated solid-fluid mixtures. Granular Matter, 1999, 1(4):163–181
Wang Y, Hutter K. Shearing flows in a Goodman-Cowin type granular material-theory and numerical results. Particulate Science and Technology, 1999, 17(1–2):97–124
Kirchner N. Thermodynamics of Structured Granular Materials. Dissertation for the Doctoral Degree. Berichte aus der Thermodynamik. Aachen: Shaker Verlag, 2001
Darcy H. Les Fontaines Publiques de la Ville de Dijon. Paris: Dalmont, 1856
von Terzaghi K. Erdbaumechanik auf bodenphysikalischer Grundlage. Leipzig: Deuticke, 1925
Bear J. Dynamics of Fluids in Porous Media. Dover: Dover Publication, 1972
Forchheimer P. Wasserbewegung durch Boden. Z Ver Deutsch Ing, 1901, 45:1782–1788
Wilhelm T, Wilmanski K. On the onset of flow instabilities in granular media due to porosity inhomogeneities. International Journal of Multiphase Flow, 2002, 28(12):1929–1944
Wilmanski K. A few remarks on Biot’s model and linear acoustics of poroelastic saturated materials. Soil Dynamics and Earthquake Engineering, 2006, 26(6–7):509–536
Gassmann F. Über die Elastizität poröser Medien. In: Vierteljahresschrift der Naturforschenden Gesellschaft in Zürich 96. 1951, 1:1–23
Bowen R M. Compressible porous media models by use of the theory of mixtures. International Journal of Engineering Science, 1982, 20(6):697–735
Passman S L, Nunziato J W, Walsh E K. A theory of multiphase mixtures. In: Truesdell C, ed. Rational Thermodynamics, Berlin: Springer, 1984
Faria S H, Hutter K, Kirchner N, Wang Y. Continuum Description of Granular Materials. Heidelberg: Springer, 2009
Wilmanski K. A Thermodynamic model of compressible porous materials with the balance equation of porosity. Transport in Porous Media, 1998, 32(1):21–47
Wilmanski K. Thermomechanics of Continua. Heidelberg: Springer, 1998
Wilmanski K. Continuum Thermodynamics. Part I: Foundations. Singapore: World Scientific, 2008
Albers B. Modeling and Numerical Analysis of Wave Propagation in Saturated and Partially Saturated Porous Media. Aachen: Shaker Verlag, 2010
Wilmanski K. On microstructural tests for poroelastic materials and corresponding Gassmanntype relations. Geotechnique, 2004, 54(9):593–603
Biot M A, Willis D G. The elastic coefficients of the theory of consolidation. Journal of Applied Mechanics, 1957, 24:594–601
Epstein N. On tortuosity and the tortuosity factor in ow and diffusion through porous media. Chemical Engineering Science, 1989, 44(3):777–779
Kozeny J. Über kapillare Leitung des Wassers im Boden (Aufstieg, Versickerung und Anwendung auf die Bewässerung). Sber Akad Wiss Wien, 1927, 136 (Abt. IIa): 271–306
Biot MA. Theory of propagation of elastic waves in a fluid saturated porous solid. I. Low frequency range. Journal of the Acoustical Society of America, 1956, 28(2):168–178
Wilmanski K. Tortuosity and objective relative accelerations in the theory of porous materials. Proceedings of the Royal Society, Mathematical, Physical and Engineering Sciences, 2005, 461(2057):1533–1561
Wesselingh J A, Krishna R. Mass Transfer in Multicomponent Mixtures. Delft: Delft University Press, 2000
Ruggeri T, Simič S. Mixture of gases with multi-temperature: Maxwellian iteration. In: Ruggeri T, Sammartino M, eds. Asymptotic Methods in Nonlinear Wave Phenomena. New Jersey: World Scientific, 2007, 186–194
Ieşan D. On a theory of micromorphic elastic solids with microtemperatures. Journal of Thermal Stresses, 2001, 24(8):737–752
Helmig R. Multiphase Flow and Transport Processes in the Subsurface. Heidelberg: Springer, 1997
Hartge K H, Horn R. Einführung in die Bodenphysik. Stuttgart: Schweizerbart, 1999
Schick P. Ein quantitatives Zwei-Komponenten-Modell der Porenwasser-Bindekräfte in teilgesättigten Böden. Habilitation Thesis. München: Universität der Bundeswehr, 2003
Brooks R H, Corey A T. Hydraulic properties of porous media. In: Hydrology Papers, Vol. 3. Fort Collins: Colorado State University, 1964
van Genuchten M Th. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Science Society of America, 1980, 44:892–898
Farouki O T. Ground thermal properties. In: Krzewinski T G, Tart R G, eds. Thermal Design Considerations in Frozen Ground Engineering. New York: ASCE, 1985:186–203
Gontaszewska A. Thermophysical Properties of Soils in Vicinity of Zielona Gora in Relation to Soil Frost Depth. Dissertation for the Doctoral Degree. Poznan: University of Poznan, 2006
Chen S X. Thermal conductivity of sands. Heat and Mass Transfer, 2008, 44(10):1241–1246
Mattsson H, Hellström J G I, Lundström S. On internal erosion in embankment dams: a literature survey of the phenomenon and the prospect to model it numerically. Report No. 2008: I14, 2008
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Albers, B., Wilmanski, K. Continuous modeling of soil morphology —thermomechanical behavior of embankment dams. Front. Archit. Civ. Eng. China 5, 11–23 (2011). https://doi.org/10.1007/s11709-010-0081-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11709-010-0081-7