P. Garnier et al., NUMERICAL-MODEL OF 3-DIMENSIONAL ANISOTROPIC DEFORMATION AND 1-DIMENSIONAL WATER-FLOW IN SWELLING SOILS, Soil science, 162(6), 1997, pp. 410-420
Current models of water flow in deforming soils generally involve a tr
ansformation from spatial to material coordinates, Existing forms of t
his coordinate transformation either assume that soil deformation is o
ne-dimensional, or that it is isotropic, In the present article, we pr
opose a new expression of the transformation gradient tensor, that all
ows different extents of deformation in the vertical and horizontal di
rections, The resulting generalized water flow equation is calibrated
with experimental data obtained for one-dimensional vertical infiltrat
ion in a bentonite sample, The hydraulic characteristics obtained from
this calibration are then used to analyze, via simulations, the sensi
tivity of water flow to anisotropy in soil deformation, The results in
dicate that the extent of the lateral deformation strongly influences
not only the height of the soil surface, as expected, but also the dis
tribution of water and the total volume of water in a swelling/shrinki
ng soil undergoing infiltration or drainage, Consequently, this latera
l deformation should be taken into account explicitly in modeling effo
rts or in the determination of the hydraulic characteristics of soils
that deform anisotropically.