On wavemodes at the interfaxce of a fluid and a fluid-saturated poroelastic solid

K.N. Dalen, G. Drijkoningen, D.M.J. Smeulders

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15 Citations (Scopus)

Abstract

Pseudo interface waves can exist at the interface of a fluid and a fluid-saturated poroelastic solid. These waves are typically related to the pseudo-Rayleigh pole and the pseudo-Stoneley pole in the complex slowness plane. It is found that each of these two poles can contribute (as a residue) to a full transient wave motion when the corresponding Fourier integral is computed on the principal Riemann sheet. This contradicts the generally accepted explanation that a pseudo interface wave originates from a pole on a nonprincipal Riemann sheet. It is also shown that part of the physical properties of a pseudo interface wave can be captured by loop integrals along the branch cuts in the complex slowness plane. Moreover, it is observed that the pseudo-Stoneley pole is not always present on the principal Riemann sheet depending also on frequency rather than on the contrast in material parameters only. Finally, it is shown that two additional zeroes of the poroelastic Stoneley dispersion equation, which are comparable with the -poles known in nonporous elastic solids, do have physical significance due to their residue contributions to a full point-force response.
LanguageEnglish
Pages2240-2251
Number of pages12
JournalJournal of the Acoustical Society of America
Volume127
Issue number4
DOIs
StatePublished - 2010

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title = "On wavemodes at the interfaxce of a fluid and a fluid-saturated poroelastic solid",
abstract = "Pseudo interface waves can exist at the interface of a fluid and a fluid-saturated poroelastic solid. These waves are typically related to the pseudo-Rayleigh pole and the pseudo-Stoneley pole in the complex slowness plane. It is found that each of these two poles can contribute (as a residue) to a full transient wave motion when the corresponding Fourier integral is computed on the principal Riemann sheet. This contradicts the generally accepted explanation that a pseudo interface wave originates from a pole on a nonprincipal Riemann sheet. It is also shown that part of the physical properties of a pseudo interface wave can be captured by loop integrals along the branch cuts in the complex slowness plane. Moreover, it is observed that the pseudo-Stoneley pole is not always present on the principal Riemann sheet depending also on frequency rather than on the contrast in material parameters only. Finally, it is shown that two additional zeroes of the poroelastic Stoneley dispersion equation, which are comparable with the -poles known in nonporous elastic solids, do have physical significance due to their residue contributions to a full point-force response.",
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On wavemodes at the interfaxce of a fluid and a fluid-saturated poroelastic solid. / Dalen, K.N.; Drijkoningen, G.; Smeulders, D.M.J.

In: Journal of the Acoustical Society of America, Vol. 127, No. 4, 2010, p. 2240-2251.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

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AU - Drijkoningen,G.

AU - Smeulders,D.M.J.

PY - 2010

Y1 - 2010

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AB - Pseudo interface waves can exist at the interface of a fluid and a fluid-saturated poroelastic solid. These waves are typically related to the pseudo-Rayleigh pole and the pseudo-Stoneley pole in the complex slowness plane. It is found that each of these two poles can contribute (as a residue) to a full transient wave motion when the corresponding Fourier integral is computed on the principal Riemann sheet. This contradicts the generally accepted explanation that a pseudo interface wave originates from a pole on a nonprincipal Riemann sheet. It is also shown that part of the physical properties of a pseudo interface wave can be captured by loop integrals along the branch cuts in the complex slowness plane. Moreover, it is observed that the pseudo-Stoneley pole is not always present on the principal Riemann sheet depending also on frequency rather than on the contrast in material parameters only. Finally, it is shown that two additional zeroes of the poroelastic Stoneley dispersion equation, which are comparable with the -poles known in nonporous elastic solids, do have physical significance due to their residue contributions to a full point-force response.

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