1. Elastic waves induced transport along slab-like solid-gouge interfaces.
- Author
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Chu, Kwang-Hua R.
- Subjects
- *
WAVENUMBER , *ELASTIC wave propagation , *PARTIAL differential equations , *DIFFERENTIAL equations , *STREAM function - Abstract
Abstract Theoretical derivation of the perturbed transport due to a sudden weak impact in a presumed slab-like region filled with solid-gouge and vacancies was conducted. The induced transport which is of the second order is created by a small-amplitude surface elastic wave propagating along the flexible interface by considering the weakly nonlinear coupling between the interfaces and the slip effect. We simplify the original system of lower-order partial differential equations (related to the momentum and mass transport) to one single higher-order quasi-linear partial differential equation in terms of the unknown stream function. Via numerical searching we identify the possible critical threshold values for zero-flux states corresponding to certain Navier-slip parameter and wave number which could be relevant to the possible seismic reversal or disappearance of moving of solid-gouge. Our numerical results are useful to the seismic pattern recognition together with synthetic earthquake catalogs. Graphical abstract Highlights • We capture the critical behavior of entrained transport via wavy interfaces. • Wave number as well as velocity slip are crucial to the entrained transport. • Complicated evolutional pattern as well as crucial parameters are shown. [ABSTRACT FROM AUTHOR]
- Published
- 2018
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