Modelling spatial variability along drainage networks with geostatistics
Modelling spatial variability along drainage networks with geostatistics
复制标题
DOI：
10.1007/s11004-006-9033-0
复制
发表时间：
2006-12-01
期刊：
影响因子：
--
通讯作者：
Lagacherie, Philippe
中科院分区：
文献类型：
--
作者：
Bailly, Jean-Stephane;Monestiez, Pascal;Lagacherie, Philippe
排水网络的局部特征，例如横截面几何形状和水力粗糙度系数，会影响地表水输送，在评估人类活动对水文风险的影响时必须考虑到这一点。然而，由于这些特征迄今为止还无法通过遥感或水文建模获得，唯一可用的方法是基于稀缺数据的插值或模拟。在本文中，我们提出了一种基于地统计学的统计模型，使我们能够考虑空间分布和空间不确定性。为此，我们修改地质统计框架以适应与排水网络结构相对应的定向树支撑。平稳性概念是在假设网络各部分之间条件独立的情况下指定的；然后相应地修改变差函数拟合和建模。提出了一种沿网络上游的顺序多高斯模拟程序。我们通过研究法国南部 11 公里长的人工排水网络的宽度来说明这种方法。
Local characteristics of drainage networks such as cross-section geometry and hydraulic roughness coefficient, influence surface water transfers and must be taken into account when assessing the impact of human activities on hydrological risks. However, as these characteristics have not been available till now through remote sensing or hydrological modelling, the only available methods are interpolation or simulation based on scarce data. In this paper we propose a statistical model based on geostatistics that allows us to take account of both the spatial distribution and spatial uncertainties. To do this, we modify the geostatistical framework to suit directed tree supports corresponding to drainage network structures. The stationarity concept is specified assuming conditional independence between parts of the network; variogram fitting and modelling are then modified accordingly. A sequential multi Gaussian simulation procedure going upstream along the network is proposed. We illustrate this approach by studying the width of an 11-km long artificial drainage network in the south of France.