Abstract
Two models for the description of unsaturated porous media flow are revisited. The first is a continuum model suitable for the description of sound wave propagation in elastic media. Even if the model does not contain a hysteresis operator, the effect of hysteresis in the capillary pressure curve is accounted for. The two processes drainage and imbibition are investigated separately and the limit values of material parameters and acoustic properties are determined. The second model is a thermomechanical model capable for the description of flows in elastoplastic porous media. It contains two independent hysteresis operators describing hysteresis phenomena in both the solid and the pore fluids.
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Acknowledgments
Supported by the Einstein Junior Fellowship of the Einstein Foundation Berlin (BA) and by the GAČR Grant GA15-12227S and RVO: 67985840 (PK).
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Albers, B., Krejčí, P. (2016). Hysteresis in Unsaturated Porous Media—Two Models for Wave Propagation and Engineering Applications. In: Albers, B., Kuczma, M. (eds) Continuous Media with Microstructure 2. Springer, Cham. https://doi.org/10.1007/978-3-319-28241-1_15
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DOI: https://doi.org/10.1007/978-3-319-28241-1_15
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