Biot-JKD model: Simulation of 1D transient poroelastic waves with fractional derivatives

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Biot-JKD model: Simulation of 1D transient poroelastic waves with fractional derivatives

A time-domain numerical modeling of Biot poroelastic waves is presented. The viscous dissipation occurring in the pores is described using the dynamic permeability model developed by Johnson-Koplik-Dashen (JKD). Some of the coefficients in the Biot-JKD model are proportional to the square root of the frequency: in the time-domain, these coefficients introduce order 1/2 shifted fractional deriva...

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ژورنال

عنوان ژورنال: Journal of Computational Physics

سال: 2013

ISSN: 0021-9991

DOI: 10.1016/j.jcp.2012.12.003