Thermomechanics of Porous Media - I: Thermohydraulic Model for Compacted Bentonite |
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Authors: | Petri Jussila |
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Institution: | (1) Institute of Mathematics, Helsinki University of Technology, Box 1100, FIN-02015, Finland |
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Abstract: | A general thermomechanical model is derived for a mixture. The model describes the behavior of the mixture via proper choices
of free energy and dissipation function. A model for any combination of the mixture constituents can be reduced from the general
model. The theory is applied to a thermohydraulic model for a mixture of compacted bentonite, liquid water, vapor, and air
with the assumption of rigid skeleton and constant uniform porosity. The free energy of the system is chosen to take into
account the individual nondissipative behaviors of the constituents and their mutual interactions, namely, adsorption and
mixing of the gaseous constituents. The choices for the interaction terms are based on the equilibrium conditions for the
water species in different combinations of the constituents. The resulting thermodynamically consistent macroscopic model
is fitted to a suction experiment and applied to a simple one-dimensional thermohydraulic simulation of the bentonite buffer
of the Febex in situ test. The results calculated with finite element method are successfully compared to measurements. |
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Keywords: | bentonite engineered barrier nuclear waste disposal adsorption phase change mixture theory constitutive equations thermomechanics |
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