Ls. Bennethum et al., MODIFIED DARCY LAW, TERZAGHI EFFECTIVE STRESS PRINCIPLE AND FICK LAW FOR SWELLING CLAY SOILS, Computers and geotechnics, 20(3-4), 1997, pp. 245-266
Governing equations often used in soil mechanics and hydrology include
the classical Darcy's law, Terzaghi's effective stress principle, and
the classical Fick's first law, It is known that the classical forms
of these relations apply only to non-swelling, granular materials. In
this paper, we summarize recent generalizations of these results for s
welling porous media obtained using hybrid mixture theory (HMT) by the
authors, HMT is a methodical procedure for obtaining macroscopic cons
titutive restrictions which are thermodynamically admissible by, explo
iting the entropy inequality for spatially-averaged properties, HMT ap
plied to the modeling of swelling clay particles, viewed as clusters o
f adsorbed water and clay, minerals, produces additional terms necessa
ry to account for the physico-chemical forces between the adsorbed wat
er and clay minerals or, more generally,for swelling colloids, New dir
ections for modeling consolidation of swelling clays are proposed base
d on our view of clay particles as a two-phase system. (C) 1997 Elsevi
er Science Ltd.