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首页> 外文期刊>Transport in Porous Media >Lagrangian Complexity Persists with Multimodal Flow Forcing in Compressible Porous Systems
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Lagrangian Complexity Persists with Multimodal Flow Forcing in Compressible Porous Systems

机译：拉格朗日的复杂性持续到可压缩多孔系统中的多模式流动强迫

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摘要

We extend previous analyses of the origins of complex transport dynamics in compressible porous media to the case where the input transient signal at a boundary is generated by a multimodal spectrum. By adding harmonic and anharmonic modal frequencies as perturbations to a fundamental mode, we examine how such multimodal signals affect the Lagrangian complexity of flow in compressible porous media. While the results apply to all poroelastic media (industrial, biological and geophysical), for concreteness we couch the discussion in terms of unpumped coastal groundwater systems having a discharge boundary forced by tides. Particular local regions of the conductivity field generate saddles that hold up and braid (mix) trajectories, resulting in unexpected behaviours of groundwater residence time distributions and topological mixing manifolds near the tidal boundary. While increasing spectral complexity can reduce the occurrence of periodic points, especially for anharmonic spectra with long characteristic periods, other signatures of Lagrangian complexity persist. The action of natural multimodal tidal signals on confined groundwater flow in heterogeneous aquifers can induce exotic flow topologies and mixing effects that are profoundly different to conventional concepts of groundwater discharge processes. Taken together, our results imply that increasing spectral complexity results in more complex Lagrangian structure in flows through compressible porous media.
机译：我们将复杂的多孔介质中复杂传输动力学的起源进行了先前的分析，以通过多模式谱产生边界的输入瞬态信号的情况。通过将谐波和anharmonic模频频率添加到基本模式的扰动中，我们研究这种多峰信号如何影响可压缩多孔介质中的流量的拉格朗日复杂性。虽然结果适用于所有Poroelastic媒体（工业，生物和地球物理），但对于具体而言，我们在潮汐抗潮汐压力的解压缩沿海地下水系统方面讨论。电导率场的特定局部区域产生保持和编织（混合）轨迹的鞍座，从而导致地下水停留时间分布的意外行为和潮汐边界附近的拓扑混合歧管。虽然增加光谱复杂度可以减少周期性点的发生，特别是对于具有长特征时期的anharmonic光谱，但拉格朗日复杂性的其他签名持续存在。自然多模式潮汐信号对非均相含水层中狭窄的地下水流动的作用可以诱导异端流拓扑和混合效果与地下水排放过程的传统概念深入不同。在一起，我们的结果暗示通过可压缩多孔介质，增加光谱复杂性导致更复杂的拉格朗日结构。

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