论文标题

通过多孔培养基的不稳定聚合物溶液流动的双重性

Bistability in the Unstable Flow of Polymer Solutions Through Porous Media

论文作者

Browne, Christopher A., Shih, Audrey, Datta, Sujit S.

论文摘要

聚合物溶液通常会在多孔介质中注入,以进行油回收和地下水修复等应用。当流体导航曲折的孔隙空间时,弹性应力会增加,导致流动在足够大的注射速率下变得不稳定。然而,鲜为人知的是,这种不稳定流的空间和时间特征如何取决于孔隙空间几何形状。我们通过系统地改变模型多孔介质中孔隙约束之间的间距来阐明这种依赖性。我们发现,当孔距很大时,每个孔的上游形成不稳定的涡流,类似于对孤立孔的观察。相比之下,当孔距足够小时,流动表现出令人惊讶的双重性,随机切换在两个不同的不稳定流量状态之间。我们假设这种异常的行为是由于流动诱导的聚合物伸长和聚合物的松弛之间的相互作用引起的,它们通过多孔培养基推动。与这个想法一致,我们发现给定孔中的流状态持续了很长时间。此外,我们发现流状态在相邻的孔之间相关。但是,这些相关性并不能持续远程。因此,我们的结果有助于阐明在聚合物溶液流过多孔介质中可能出现的各种流动行为。

Polymer solutions are often injected in porous media for applications such as oil recovery and groundwater remediation. As the fluid navigates the tortuous pore space, elastic stresses build up, causing the flow to become unstable at sufficiently large injection rates. However, it is poorly understood how the spatial and temporal characteristics of this unstable flow depend on pore space geometry. We elucidate this dependence by systematically varying the spacing between pore constrictions in a model porous medium. We find that when the pore spacing is large, unstable eddies form upstream of each pore, similar to observations of an isolated pore. By contrast, when the pore spacing is sufficiently small, the flow exhibits a surprising bistability, stochastically switching between two distinct unstable flow states. We hypothesize that this unusual behavior arises from the interplay between flow-induced polymer elongation and relaxation of polymers as they are advected through the porous medium. Consistent with this idea, we find that the flow state in a given pore persists for long times. Moreover, we find that the flow state is correlated between neighboring pores; however, these correlations do not persist long-range. Our results thus help to elucidate the rich array of flow behaviors that can arise in polymer solution flow through porous media.

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