Derivation of the nonlinearity parameter B / A of saturated, unconsolidated marine sediments via a statistical approach

H. Lee; E. Noh; W. S. Ohm; O. C. Kwon

doi:10.1063/1.4934384

Derivation of the nonlinearity parameter B / A of saturated, unconsolidated marine sediments via a statistical approach

H. Lee, E. Noh, W. S. Ohm, O. C. Kwon

Department of Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Marine sediments are known to exhibit the nonlinearity parameter B/A that is much greater than that of homogeneous fluids and solids. The enormous value of B/A is particularly sensitive to the state of grain contacts. Although there exists a large body of literature that deals with the B/A of marine sediments, few studies have addressed how the random nature of grain contacts affects B/A. Here, we develop a model for the B/A of saturated, unconsolidated marine sediments, which accounts for random grain contacts. The number of contacts per grain and the distribution of contact stress between grains are treated statistically. The quadratic nonlinearity of the equivalent suspension of grains and the interstitial fluid is then combined with the nonlinearity arising from the random Hertzian contacts to produce the effective B/A of marine sediments.

Original language	English
Title of host publication	Recent Developments in Nonlinear Acoustics
Subtitle of host publication	20th International Symposium on Nonlinear Acoustics including the 2nd International Sonic Boom Forum
Editors	Victor W. Sparrow, Didier Dragna, Philippe Blanc-Benon
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735413320
DOIs	https://doi.org/10.1063/1.4934384
Publication status	Published - 2015 Oct 28
Event	20th International Symposium on Nonlinear Acoustics, ISNA 2015, including the 2nd International Sonic Boom Forum, ISBF 2015 - Ecully, Lyon, France Duration: 2015 Jun 29 → 2015 Jul 3

Publication series

Name	AIP Conference Proceedings
Volume	1685
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Other

Other	20th International Symposium on Nonlinear Acoustics, ISNA 2015, including the 2nd International Sonic Boom Forum, ISBF 2015
Country	France
City	Ecully, Lyon
Period	15/6/29 → 15/7/3

Bibliographical note

Funding Information:
This work was conducted in the Unmanned Technology Research Center (UTRC) sponsored by the Defense Acquisition Program Administration (DAPA) and the Agency for Defense Development (ADD) in the Republic of Korea.

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

Access to Document

10.1063/1.4934384

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Lee, H., Noh, E., Ohm, W. S., & Kwon, O. C. (2015). Derivation of the nonlinearity parameter B / A of saturated, unconsolidated marine sediments via a statistical approach. In V. W. Sparrow, D. Dragna, & P. Blanc-Benon (Eds.), Recent Developments in Nonlinear Acoustics: 20th International Symposium on Nonlinear Acoustics including the 2nd International Sonic Boom Forum [030001] (AIP Conference Proceedings; Vol. 1685). American Institute of Physics Inc.. https://doi.org/10.1063/1.4934384

Lee, H. ; Noh, E. ; Ohm, W. S. ; Kwon, O. C. / Derivation of the nonlinearity parameter B / A of saturated, unconsolidated marine sediments via a statistical approach. Recent Developments in Nonlinear Acoustics: 20th International Symposium on Nonlinear Acoustics including the 2nd International Sonic Boom Forum. editor / Victor W. Sparrow ; Didier Dragna ; Philippe Blanc-Benon. American Institute of Physics Inc., 2015. (AIP Conference Proceedings).

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abstract = "Marine sediments are known to exhibit the nonlinearity parameter B/A that is much greater than that of homogeneous fluids and solids. The enormous value of B/A is particularly sensitive to the state of grain contacts. Although there exists a large body of literature that deals with the B/A of marine sediments, few studies have addressed how the random nature of grain contacts affects B/A. Here, we develop a model for the B/A of saturated, unconsolidated marine sediments, which accounts for random grain contacts. The number of contacts per grain and the distribution of contact stress between grains are treated statistically. The quadratic nonlinearity of the equivalent suspension of grains and the interstitial fluid is then combined with the nonlinearity arising from the random Hertzian contacts to produce the effective B/A of marine sediments.",

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note = "Funding Information: This work was conducted in the Unmanned Technology Research Center (UTRC) sponsored by the Defense Acquisition Program Administration (DAPA) and the Agency for Defense Development (ADD) in the Republic of Korea.; 20th International Symposium on Nonlinear Acoustics, ISNA 2015, including the 2nd International Sonic Boom Forum, ISBF 2015 ; Conference date: 29-06-2015 Through 03-07-2015",

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Lee, H, Noh, E, Ohm, WS & Kwon, OC 2015, Derivation of the nonlinearity parameter B / A of saturated, unconsolidated marine sediments via a statistical approach. in VW Sparrow, D Dragna & P Blanc-Benon (eds), Recent Developments in Nonlinear Acoustics: 20th International Symposium on Nonlinear Acoustics including the 2nd International Sonic Boom Forum., 030001, AIP Conference Proceedings, vol. 1685, American Institute of Physics Inc., 20th International Symposium on Nonlinear Acoustics, ISNA 2015, including the 2nd International Sonic Boom Forum, ISBF 2015, Ecully, Lyon, France, 15/6/29. https://doi.org/10.1063/1.4934384

Derivation of the nonlinearity parameter B / A of saturated, unconsolidated marine sediments via a statistical approach. / Lee, H.; Noh, E.; Ohm, W. S.; Kwon, O. C.

Recent Developments in Nonlinear Acoustics: 20th International Symposium on Nonlinear Acoustics including the 2nd International Sonic Boom Forum. ed. / Victor W. Sparrow; Didier Dragna; Philippe Blanc-Benon. American Institute of Physics Inc., 2015. 030001 (AIP Conference Proceedings; Vol. 1685).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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N2 - Marine sediments are known to exhibit the nonlinearity parameter B/A that is much greater than that of homogeneous fluids and solids. The enormous value of B/A is particularly sensitive to the state of grain contacts. Although there exists a large body of literature that deals with the B/A of marine sediments, few studies have addressed how the random nature of grain contacts affects B/A. Here, we develop a model for the B/A of saturated, unconsolidated marine sediments, which accounts for random grain contacts. The number of contacts per grain and the distribution of contact stress between grains are treated statistically. The quadratic nonlinearity of the equivalent suspension of grains and the interstitial fluid is then combined with the nonlinearity arising from the random Hertzian contacts to produce the effective B/A of marine sediments.

AB - Marine sediments are known to exhibit the nonlinearity parameter B/A that is much greater than that of homogeneous fluids and solids. The enormous value of B/A is particularly sensitive to the state of grain contacts. Although there exists a large body of literature that deals with the B/A of marine sediments, few studies have addressed how the random nature of grain contacts affects B/A. Here, we develop a model for the B/A of saturated, unconsolidated marine sediments, which accounts for random grain contacts. The number of contacts per grain and the distribution of contact stress between grains are treated statistically. The quadratic nonlinearity of the equivalent suspension of grains and the interstitial fluid is then combined with the nonlinearity arising from the random Hertzian contacts to produce the effective B/A of marine sediments.

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Lee H, Noh E, Ohm WS, Kwon OC. Derivation of the nonlinearity parameter B / A of saturated, unconsolidated marine sediments via a statistical approach. In Sparrow VW, Dragna D, Blanc-Benon P, editors, Recent Developments in Nonlinear Acoustics: 20th International Symposium on Nonlinear Acoustics including the 2nd International Sonic Boom Forum. American Institute of Physics Inc. 2015. 030001. (AIP Conference Proceedings). https://doi.org/10.1063/1.4934384