Abstract
A computational model for wave fields simulation in a saturated deformable porous medium is presented. The governing differential equations of the model are derived from a general Symmetric Hyperbolic Thermodynamically Compatible (SHTC) two-phase model of saturated porous medium and form a linear PDE system allowing the application of an efficient finite difference method on a staggered grid. A series of numerical test problems showed a strong dependence of wave attenuation on porosity and relaxation time coefficient. It was also shown that the constitutive equations of the SHTC give a constant value of the quality factor over a range of seismic frequencies, making it possible to use the SHTC model to develop seismic methods for monitoring permafrost thaw.
This work was financially supported by the Russian Science Foundation, grant No. 22-11-00104.
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Reshetova, G., Novikov, M., Romenski, E. (2024). Computational Analysis of Seismic Waves Attenuation Caused by Porosity Variability in a Fluid-Saturated Porous Model of Thawing Permafrost. In: Gervasi, O., Murgante, B., Garau, C., Taniar, D., C. Rocha, A.M.A., Faginas Lago, M.N. (eds) Computational Science and Its Applications – ICCSA 2024 Workshops. ICCSA 2024. Lecture Notes in Computer Science, vol 14817. Springer, Cham. https://doi.org/10.1007/978-3-031-65238-7_22
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