Burger B, Andrade J S, Herrmann H J
IfB, HIT G23.1, ETH Zürich, Zürich, 8093, Switzerland.
Departamento de Física, Universidade Federal do Ceará, Fortaleza, 60451-970, Ceará, Brazil.
Sci Rep. 2018 Jul 12;8(1):10586. doi: 10.1038/s41598-018-28470-2.
We introduce the hydrological watershed, a watershed where water can penetrate the soil, and compare it with the topological watershed for a two-dimensional landscape. For this purpose, we measure the fractal dimension of the hydrological watershed for different penetration depths and different grid sizes. Through finite size scaling, we find that the fractal dimension is 1.31 ± 0.02 which is significantly higher than the fractal dimension of the topological watershed. This indicates that the hydrological watershed belongs to a new universality class. We also find that, as opposed to the topological watershed, the hydrodynamic watershed can exhibit disconnected islands.
我们引入了水文流域，即水能够渗透土壤的流域，并将其与二维地形的拓扑流域进行比较。为此，我们测量了不同渗透深度和不同网格尺寸下水文流域的分形维数。通过有限尺寸标度，我们发现分形维数为1.31±0.02，这显著高于拓扑流域的分形维数。这表明水文流域属于一个新的普适类。我们还发现，与拓扑流域不同，水动力流域可能呈现出不相连的岛屿。
