The human-induced seismicity has called substantial attention in recent years. The effect of seismicity on the subsurface structure has been extensively studied. However, the effect of seismicity, especially those microseismicity, on surrounding immiscible fluids is rarely investigated. In porous media with two or more immiscible fluids, different amplitudes of vibration induced by seismicity have distinct effects on the dynamic behavior of fluids. Three types of pore-scale models are prevalent in the analysis of the motion of immiscible droplets. The underlying assumptions and accuracy of these models are compared in this study in both frequency domain and time domain. The frequency domain analysis shows that the resonance can be addressed in all of three models, but the frequency response curves present significant differences. These differences are attributed to the missing physics considered in some models. The time domain analysis in both small-amplitude oscillation and large-amplitude oscillation is performed. The nonlinear feature in large-amplitude oscillation is attributed to the constricted geometry of capillary tube. The momentum balance model is identified as so-far the most accurate oscillatory model by the comparison with computational fluid dynamics simulations. In addition, the potential approach to incorporate this pore-scale model in seismic wave attenuation analysis is found possible. The frequency correction function and structural factor are calculated to embed the momentum balance model into Biot 's poroelastic model. The resonance of dispersed phase can also be addressed theoretically in porous media of random packed spheres.

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Civil, Architectural and Environmental Engineering

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Publication Date

01 Jan 2020