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| Titel |
Modeling nonlinear compressional waves in marine sediments |
| VerfasserIn |
B. E. McDonald |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 16, no. 1 ; Nr. 16, no. 1 (2009-02-26), S.151-157 |
| Datensatznummer |
250013096
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| Publikation (Nr.) |
 copernicus.org/npg-16-151-2009.pdf |
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| Zusammenfassung |
| A computational model is presented which will help guide and interpret an
upcoming series of experiments on nonlinear compressional waves in marine
sediments. The model includes propagation physics of nonlinear acoustics
augmented with granular Hertzian stress of order 3/2 in the strain rate. The
model is a variant of the time domain NPE (McDonald and Kuperman, 1987) supplemented with a
causal algorithm for frequency-linear attenuation. When attenuation is
absent, the model equations are used to construct analytic solutions for
nonlinear plane waves. The results imply that Hertzian stress causes a unique
nonlinear behavior near zero stress. A fluid, in contrast, exhibits nonlinear
behavior under high stress. A numerical experiment with nominal values for
attenuation coefficient implies that in a water saturated Hertzian chain, the
nonlinearity near zero stress may be experimentally observable. |
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