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| DOI | 10.5194/hess-22-1911-2018 |
| HESS Opinions: Linking Darcy's equation to the linear reservoir | |
| Savenije H.H.G. | |
| 发表日期 | 2018 |
| ISSN | 1027-5606 |
| 起始页码 | 1911 |
| 结束页码 | 1916 |
| 卷号 | 22期号:3 |
| 英文摘要 | In groundwater hydrology, two simple linear equations exist describing the relation between groundwater flow and the gradient driving it: Darcy's equation and the linear reservoir. Both equations are empirical and straightforward, but work at different scales: Darcy's equation at the laboratory scale and the linear reservoir at the watershed scale. Although at first sight they appear similar, it is not trivial to upscale Darcy's equation to the watershed scale without detailed knowledge of the structure or shape of the underlying aquifers. This paper shows that these two equations, combined by the water balance, are indeed identical provided there is equal resistance in space for water entering the subsurface network. This implies that groundwater systems make use of an efficient drainage network, a mostly invisible pattern that has evolved over geological timescales. This drainage network provides equally distributed resistance for water to access the system, connecting the active groundwater body to the stream, much like a leaf is organized to provide all stomata access to moisture at equal resistance. As a result, the timescale of the linear reservoir appears to be inversely proportional to Darcy's conductance, the proportionality being the product of the porosity and the resistance to entering the drainage network. The main question remaining is which physical law lies behind pattern formation in groundwater systems, evolving in a way that resistance to drainage is constant in space. But that is a fundamental question that is equally relevant for understanding the hydraulic properties of leaf veins in plants or of blood veins in animals. © Author(s) 2018. |
| 语种 | 英语 |
| scopus关键词 | Aquifers; Drainage; Groundwater; Groundwater flow; Groundwater resources; Hydrogeology; Reservoirs (water); Underground reservoirs; Watersheds; Distributed resistance; Drainage networks; Geological timescales; Ground-water hydrology; Groundwater bodies; Groundwater system; Hydraulic properties; Subsurface networks; Flow of fluids; Animalia |
| 来源期刊 | Hydrology and Earth System Sciences
 |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://gcip.llas.ac.cn/handle/2XKMVOVA/160077 |
| 作者单位 | Savenije, H.H.G., Delft University of Technology, Delft, Netherlands |
| 推荐引用方式 GB/T 7714 | Savenije H.H.G.. HESS Opinions: Linking Darcy's equation to the linear reservoir[J],2018,22(3). |
| APA | Savenije H.H.G..(2018).HESS Opinions: Linking Darcy's equation to the linear reservoir.Hydrology and Earth System Sciences,22(3). |
| MLA | Savenije H.H.G.."HESS Opinions: Linking Darcy's equation to the linear reservoir".Hydrology and Earth System Sciences 22.3(2018). |
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