Biot流动和喷射流动耦合作用下波传播的FCT紧致差分模拟

本文从含流体多孔隙介质中同时包含Biot流动和喷射流动两种力学机制的BISQ(Biot-Squirt)方程出发,利用FCT(Flux-Corrected Transport)紧致差分方法数值模拟了在Biot流和喷射流共同作用下的波在含流体多孔隙各向同性介质中的传播.通过与仅受Biot流动作用下的波场结果对比,我们研究了...

FCT compact difference simulation of wave propagation based on the Biot and the squirt-flow coupling interaction

In this paper, the wave-fields simulation based on the general BISQ equation which combines the Biot and squirt-flow mechanism in the isotropic medium is performed by using the FCT (Flux-corrected transport) compact difference method. We study the relationship between the dissipation coefficient b, the velocity and the energy attenuation of the slow quasi P-wave by comparing to the wave field snapshots generated by BISQ model and Biot equations, respectively. We also investigate the characteristics of wave propagation in the two-layer two-phase porous medium. Numerical results show that, relative to the Biot model, the fast quasi P-wave propagates slower and the energy attenuates faster in the BISQ model. The numerical results also imply that the squirt-flow which has local character affects the compression wave dispersion and attenuation significantly. For the shear wave, these two models have almost same results which show that the squirt flow has little efftect on shear wave. All of these are consistent with the theoretical analysis. It also indicates clearly that the FCT compact difference method can suppress the numerical dispersion and the source noise effectively. It is suitable for the elastic wave field simulation in the two-phase porous media.