Acoustic scattering of spherical waves incident on a long fluid-saturated poroelastic cylinder |
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Authors: | H Hosseini N Namazi |
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Affiliation: | 1. Department of Mechanical Engineering, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran 2. Department of Mechanical Engineering, Semnan Branch, Islamic Azad University, Semnan, Iran
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Abstract: | Acoustic scattering of spherical waves generated by a monopole point source in a perfect (inviscid and ideal) compressible
fluid by a fluid-saturated porous cylinder of infinite length is studied theoretically in the present study. The formulation
utilizes the Biot theory of dynamic poroelasticity along with the appropriate wave-field expansions, the translational addition
theorem for spherical wave functions, and the pertinent boundary conditions to obtain a closed-form solution in the form of
infinite series. The analytical results are illustrated with a numerical example in which a monopole point source within water
is located near a porous cylinder with a water-saturated Ridgefield sandstone formation. The numerical results reveal the
effects of source excitation frequency, the cylinder interface permeability condition, and the location of the point source
and the field point on the backscattered pressure magnitudes. Limiting cases are considered, and the obtained numerical results
are validated by already well-known solutions. |
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Keywords: | |
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