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Computational Modeling of Temperature-Dependent Wavefields in Fluid-Saturated Porous Media

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Computational Science and Its Applications – ICCSA 2023 Workshops (ICCSA 2023)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 14106))

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Abstract

A computational model is presented for simulations small amplitude wavefields in a deformable porous medium saturated with a compressible fluid under temperature variations. The model is based on the governing equations derived with the use of the theory of Symmetric Hyperbolic Thermodynamically Compatible (SHTC) systems in conjunction with the efficient staggered grid finite difference numerical method. It is numerically shown that the characteristics of wavefields in a saturated porous medium strongly depend on the porosity, which varies with temperature.

The mathematical model was developed by E. Romenski within the framework of the state contract of the Sobolev Institute of Mathematics (project no. FWNF-2022-0008). Numerical method was developed by G. Reshetova and supported by the Russian Science Foundation grant no. 22-21-00759. E. Romenski’s contribution to numerical modeling was supported by the Russian Science Foundation grant no. 22-11-00104.

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Author information

Authors and Affiliations

  1. Sobolev Institute of Mathematics SB RAS, Novosibirsk, 630090, Russia

    Evgeniy Romenski

  2. Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk, 630090, Russia

    Galina Reshetova

Authors
  1. Evgeniy Romenski
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  2. Galina Reshetova
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Corresponding author

Correspondence to Evgeniy Romenski .

Editor information

Editors and Affiliations

  1. University of Perugia, Perugia, Italy

    Osvaldo Gervasi

  2. University of Basilicata, Potenza, Italy

    Beniamino Murgante

  3. University of Minho, Braga, Portugal

    Ana Maria A. C. Rocha

  4. University of Cagliari, Cagliari, Italy

    Chiara Garau

  5. University of Basilicata, Potenza, Italy

    Francesco Scorza

  6. University of Massachusetts Medical School, Worcester, MA, USA

    Yeliz Karaca

  7. Polytechnic University of Bari, Bari, Italy

    Carmelo M. Torre

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Romenski, E., Reshetova, G. (2023). Computational Modeling of Temperature-Dependent Wavefields in Fluid-Saturated Porous Media. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2023 Workshops. ICCSA 2023. Lecture Notes in Computer Science, vol 14106. Springer, Cham. https://doi.org/10.1007/978-3-031-37111-0_8

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  • DOI: https://doi.org/10.1007/978-3-031-37111-0_8

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