Numerical Study of Wave Propagation in a Cylindrical Waveguide in a Porous Medium with a Hydrate-Containing Layer

About the authors:

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

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

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 studies the features of pressure wave propagation in a cylindrical cavity in a porous medium with a hydrate-containing layer. The study was carried out in the framework of a two-velocity two-stress model of a porous medium. The authors have developed a method of numerical solution of the two-dimensional problem of propagation of perturbations in a cylindrical cavity and surrounding porous medium based on the Lax-Wendroff method.

The obtained calculated data allow estimating the coefficients of reflection and passage of waves through the boundaries of the hydrate-containing layer inside the cavity. The influence of the signal frequency and the length of the hydrate-containing layer on the evolution of the pressure wave inside the cavity is studied. The results of the numerical study are consistent with the previously obtained results of solving this problem in a linear approximation.

The obtained results can be used in the interpretation of well data to clarify the position of the boundaries of the layers crossed by the well, in particular, the hydrate-containing layer.

References:

1. Gubaidullin A. A., Boldyreva O. Yu., and Dudko D. N. 2017. “Rasprostranenie lineinykh voln v tsilindricheskom volnovode v poristoi srede c gidratosoderzhashchim sloem” [Linear Wave Propagation in a Cylindrical Waveguide in a Porous Medium with Hydrate Layer]. Proceedings of the Mavlyutov Institute of Mechanics, Ufa Investigation Center, RAS, vol. 12, no 1, pp. 9-14. 
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6. Gubaidullin A. A., Boldyreva O. Yu., and Dudko D. N. 2018. “Waves in Porous Media Containing Gas Hydrate”. AIP Conference Proceedings, vol. 1939, 020031. DOI: 10.1063/1.5027343