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Numerical simulation of wave processes in porous medium containing emulsion

Gubaidullin Amir Anvarovich Boldyreva Olga Yurievna Dudko Dina Nikolaevna

Memoirs of the Faculty of Physics 2014. N 6.

  • Article
Annotation

Wave propagation in porous medium containing emulsion is numerically investigated. The two-velocity, two-stress mathematical model of porous medium is used. The power law constitutive relation for emulsion is taken. The viscous friction force and associated mass force are accounted in the interaction force between porous medium and emulsion. The pulse evolution in porous medium saturated with emulsion is calculated. The model parameters of the emulsion are taken from experimental investigations of the other authors. The calculation results on wave evolution are compared with that for the porous medium saturated with water and oil. It is shown that there is a frequency range where wave attenuation in porous medium saturated with emulsion is higher than attenuation in water or oil saturated porous medium. The effective viscosity estimates of the emulsion were made and the dispersion curves for linear waves in the porous medium containing emulsion were analyzed.

Received: 2014 November 14
Approved: 2014 December 22
PACS:
62.30.+d Mechanical and elastic waves; vibrations
47.56.+r Flows through porous media
43.25.+y Nonlinear acoustics
Authors
Gubaidullin Amir Anvarovich Boldyreva Olga Yurievna Dudko Dina Nikolaevna
Taymirskaya St. 74, P.O. box 1507, Tyumen, 625026 Russia
Issue 6, 2014

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