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.
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