Wk. Heidug et Sw. Wong, HYDRATION SWELLING OF WATER-ABSORBING ROCKS - A CONSTITUTIVE MODEL, International journal for numerical and analytical methods in geomechanics, 20(6), 1996, pp. 403-430
Water-absorbing rocks are formed from minerals that can hold water in
their crystal structure or between grain boundaries. Such water absorp
tion is often accompanied by a change in the crystal dimension that ma
nifests itself as a swelling of the rock. Swelling is particularly pro
nounced in rocks containing phyllosilicates because of the ease with w
hich these minerals hydrate; it is thus of geological and geotechnical
relevance in shales, clay-rich soils and zeolitized tuffs. The model
of hydration swelling that we present here is based on extended versio
ns of the equations of poroelasticity and Darcy's transport law, which
we derive using a nonequilibrium thermodynamics approach. Our equatio
ns account for the hydration reaction under the assumption that the re
action rate is fast in comparison with the rate at which hydraulic sta
te changes are communicated through the rock, i.e. that local physico-
chemical equilibrium persists. Using a finite-element scheme for solvi
ng numerically the governing equations of our model we simulate the cr
eep of shales during a routine swelling test and calculate the stress
and strain distributions around wellbores drilled in shale formations
that undergo swelling. We show that swelling effects promote tensile f
ailure of the wellbore wall.