Stokes drift through corals
Stokes drift through corals
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斯托克斯漂流穿过珊瑚
DOI：
10.1007/s10652-021-09811-8
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发表时间：
2020
影响因子：
2.2
通讯作者：
K. College
中科院分区：
文献类型：
--
作者：
J. Webber;Herbert E. Huppert Department of Applied Mathematics;T. Physics;U. Cambridge;K. College
受浅海波浪在珊瑚礁上传播的激励，我们研究了覆盖在有限深度的饱和多孔床上的有效无粘性流体中由于表面波运动而引起的漂移速度。该领域以前的研究要么忽略了层间的大规模流动（Phillips在《flow and reactions in permeable rocks》一书中，Cambridge University Press, Cambridge, 1991），要么只考虑了多孔层上方的漂移（Monismith in Ann Rev Fluid Mech 39:37-55, 2007）。为了克服这些限制，我们提出了一个模型，其中流动由多孔层上方的速度势和多孔层中的达西定律描述，并在两层之间的界面处推导出匹配条件。多孔层的阻尼会产生水平和新型垂直漂移效应，这需要使用复波数k。这与Stokes （Trans Camb Philos Soc 8:441 - 455,1847）首先推导出的纯水平二阶漂移相反，当只处理纯流体层时。我们的工作为浅海中的珊瑚礁提供了一个物理模型，在浅海中，珊瑚礁上和珊瑚礁内的流体漂移对于维持健康的珊瑚礁生态系统至关重要（Koehl等人）。见：第八届国际珊瑚礁研讨会论文集，第2卷，第1087-1092页，1997年；莫尼史密斯在安Rev流体机械39:37-55,2007)。我们将我们的模型与Koehl和Hadfield （J Mar system 49:75 - 88,2004）的现场测量结果进行了比较，并解释了Koehl等人（Mar Ecol Prog Ser 335:1 - 18,2007）记录的垂直漂移效应，Koehl等人测量了珊瑚礁层与上面（相对较浅的）海洋之间的交换。
Motivated by shallow ocean waves propagating over coral reefs, we investigate the drift velocities due to surface wave motion in an effectively inviscid fluid that overlies a saturated porous bed of finite depth. Previous work in this area either neglects the large-scale flow between layers (Phillips in Flow and reactions in permeable rocks, Cambridge University Press, Cambridge, 1991) or only considers the drift above the porous layer (Monismith in Ann Rev Fluid Mech 39:37–55, 2007). Overcoming these limitations, we propose a model where flow is described by a velocity potential above the porous layer and by Darcy’s law in the porous bed, with derived matching conditions at the interface between the two layers. Both a horizontal and a novel vertical drift effect arise from the damping of the porous bed, which requires the use of a complex wavenumber k. This is in contrast to the purely horizontal second-order drift first derived by Stokes (Trans Camb Philos Soc 8:441–455, 1847) when working with solely a pure fluid layer. Our work provides a physical model for coral reefs in shallow seas, where fluid drift both above and within the reef is vitally important for maintaining a healthy reef ecosystem (Koehl et al. In: Proceedings of the 8th International Coral Reef Symposium, vol 2, pp 1087–1092, 1997; Monismith in Ann Rev Fluid Mech 39:37–55, 2007). We compare our model with field measurements by Koehl and Hadfield (J Mar Syst 49:75–88, 2004) and also explain the vertical drift effects as documented by Koehl et al. (Mar Ecol Prog Ser 335:1–18, 2007), who measured the exchange between a coral reef layer and the (relatively shallow) sea above.