Propagation of pulse perturbations in a cylindrical waveguide in a porous medium saturated with bubbly liquid

About the authors:

Amir A. Gubaidullin, Dr. Sci. (Phys.-Math.), Professor, Сhief Researcher, Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences; eLibrary AuthorID, ORCID, Web of Science ResearcherID, Scopus AuthorID, a.a.gubaidullin@yandex.ru

Olga Yu. Boldyreva, Cand. Sci. (Phys.-Math.), Senior Researcher, Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences; timms@ikz.ru

Dina N. Dudko, Cand. Sci. (Phys.-Math.), Researcher, Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences; timms@ikz.ru

Abstract:

This article presents a numerical study of the features of the pressure wave propagation in a cylindrical cavity filled with a liquid in a porous medium saturated with liquids and bubbles.

The authors have used a two-velocity and two-stress model of a porous medium. They have developed a numerical solution for a two-dimensional problem of the perturbations propagation in a cylindrical cavity and porous medium with a bubbly liquid, surrounding this cavity.

The effect of gas bubbles in a porous medium on the propagation and attenuation of a signal in a cylindrical waveguide was estimated by calculations. In addition, the calculations allow analyzing the influence of the gas content and the frequency of the initial signal on the evolution of the pressure wave inside the cavity and porous medium. For a number of frequencies, the authors have calculated the wave velocity and attenuation curves. The results show that the presence of bubbles leads to an increase in the attenuation of the signal both inside the cavity and in the porous medium.

This work can help be used in the interpretation of wells logging data.

References:

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