Description of hydraulic and strength properties of anisotropic geomaterials

• Autorzy: Pietruszczak S. , Pande G. N.
• Języki publikacji: EN

Abstrakty

EN

In this paper, a simple generalization of Darcy’s law is proposed for the description of hydraulic properties of anisotropic porous materials. The coefficient of permeability is defined as a scalar valued function of orientation. The principal directions of permeability are determined from a fabric descriptor specifying the distribution of average pore size. An example is provided for identification of material parameters, which is based on an idealized “pipe network model”. A procedure for defining the anisotropy in strength properties, which incorporates a conceptually similar approach, is also reviewed and an illustrative example is provided.

Słowa kluczowe

EN

geomaterial; anisotropy; Darcy’s law; hydraulic properties; strength properties; porous materials

PL

materiał geologiczny; anizotropia; prawo Darcy'ego; właściwości hydrauliczne; właściwości wytrzymałościowe; materiały porowate

• Wydawca: De Gruyter
• Czasopismo: Studia Geotechnica et Mechanica
• Rocznik: 2012
• Tom: Vol. 34, nr 3
• Strony: 3--16
• Opis fizyczny: Bibliogr. 12 poz., rys., wykr.

Twórcy

autor

Pietruszczak S.

• McMaster University, Hamilton, Ont. Canada L8S 4L7

autor

Pande G. N.

• Swansea University, Swansea, U.K.

Bibliografia

• [1] AZAMI A., PIETRUSZCZAK S., GUO P., Bearing capacity of shallow foundations in transversely isotropic granular media, Intern. Journ. Num. Anal. Meth. Geomech., 2009, 34(8), 771–793.
• [2] CHATZIS I., DULLIEN F.A.L., The modelling of mercury porosimetry and relative permeability ofmercury in sandstones using percolation theory, Intern. Chem. Eng., 1985, 25, 47–66.
• [3] DIAZ C.E., CHATZIS I., DULLIEN F.A.L., Simulation of capillary pressure curves using bond correlated site percolation on a simple cubic network, Transport in Porous Media, 1987, 2, 215–240.
• [4] DUVEAU G., SHAO J.F., HENRY J.P., Assessment of some failure criteria for strongly anisotropicmaterials, Mech. Cohesive-Frictional Mater., 1998, 3, 1–26.
• [5] INGLIS D., PIETRUSZCZAK S., Characterization of anisotropy in porous media by means of linearintercept measurements, Intern. Journal of Solids & Structures, 2003, 40, 1243–1264.
• [6] KRALJ B., PANDE G.N., A stochastic model for the permeability characteristics of saturated cementedporous media undergoing freezing, Transport in Porous Media, 1996, 22, 345–357.
• [7] NIANDOU H., SHAO J.F., HENRY J.P., FOURMAINTRAUX D., Laboratory investigation of the mechanical behavior of Tournemire shale, Intern. Journ. Rock Mech. Min. Sci., 1997, 34, 3–16.
• [8] ODA M., KOISHIKAWA I., HUGUCHI T., Experimental study of anisotropic shear strength of sand byplane strain test, Soils and Foundations, 1978, 18(1), 25–38.
• [9] PIETRUSZCZAK S., Fundamentals of Plasticity in Geomechanics, Taylor & Francis Group, Leiden/London/New York, 2010.
• [10] PIETRUSZCZAK S., KRUCIŃSKI S., Description of anisotropic response of clays using a tensorialmeasure of structural disorder, Mechanics of Materials, 1989, 8, 237–249.
• [11] SUTERA S.P., SKALAK R., The history of Poiseuille’s law, Annual Review of Fluid Mech., 1993, 25,1–19.
• [12] WASHBURN E.W., The dynamics of capillary flow, Physical Review, 1921, 17(3), 273.