On the Augmented Biot-JKD Equations with Pole-Residue Representation of the Dynamic Tortuosity

@article{Ou2019OnTA,
  title={On the Augmented Biot-JKD Equations with Pole-Residue Representation of the Dynamic Tortuosity},
  author={M. Yvonne Ou and Hugo J. Woerdeman},
  journal={arXiv: Numerical Analysis},
  year={2019},
  pages={307-328}
}
  • M. Yvonne Ou, Hugo J. Woerdeman
  • Published 2019
  • Mathematics
  • arXiv: Numerical Analysis
  • In this paper, we derive the augmented Biot-JKD equations, where the memory terms in the original Biot-JKD equations are dealt with by introducing auxiliary dependent variables. The evolution in time of these new variables are governed by ordinary differential equations whose coefficients can be rigorously computed from the JKD dynamic tortuosity function TD(ω) by utilizing its Stieltjes function representation derived in [19], where an approach for computing the pole-residue representation of… CONTINUE READING

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