Abstract
A two-dimensional axisymmetric problem of pressure wave propagation in a porous medium of a layered structure is considered. The wave initiated by a pressure pulse in a cavity with a liquid enters and propagates in a layered porous medium. The problem is solved numerically in the framework of the two-velocity, two-stress model of a porous medium. The features of the evolution of elastic waves are investigated. The influence of the ratio of the permeability of layers and the surrounding porous medium, as well as the characteristics of the initial perturbation on the evolution of the pressure wave are analyzed. It is established that after the perturbation penetrates from the cavity into an inhomogeneous layered porous medium, the transmitted waves interact at the boundaries of the layers, which creates a complex wave pattern. The highest propagation velocity and the lowest signal attenuation are observed in the layer with the highest permeability.
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The research was carried out within the state assignment of Ministry of Science and Higher Education of the Russian Federation (project no. 121030500156-6).
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Gubaidullin, A.A., Boldyreva, O.Y. & Dudko, D.N. Elastic Waves in a Porous Medium with Layers of Different Permeabilities. Lobachevskii J Math 42, 1977–1981 (2021). https://doi.org/10.1134/S1995080221080126
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DOI: https://doi.org/10.1134/S1995080221080126