基于水动力的植被消长模型及河道植被演替模拟

    Growth-decay model of vegetation based on hydrodynamicsand simulation on vegetation succession in river

    • 摘要: 针对植被斑块在河道中的演替规律,建立了概化河道下的植被斑块消长模型。该模型以二维浅水方程组为控制方程,采用有限体积法离散求解水动力参数,利用等效曼宁系数法概化植被影响,定义床面剪切力小于阈值区域为新植被生长区,大于阈值区域为植被消亡区。考虑植被阻力对水流的影响以及床面切力对植被消长的影响,建立了植被消长与水动力过程相耦合的数学模型,模拟了不同条件下的植被区演替过程,模拟过程中重点考虑了两个床面剪切力阈值和两个初始植被密度工况。计算结果表明:植被斑块在河道内的演变通常是由块状向条带状发展,较高的剪切力阈值将产生更大的最终植被面积;当剪切力阈值系数为0.5时,最终植被面积占河道总面积的比值为47%~49%;当剪切力阈值系数为0.7时,最终植被面积占比为58%~60%;不同的初始植被分布并不会对最终植被面积产生显著影响,但较大的初始植被密度会加快植被的初始生长速率,使植被面积更快达到基本稳定水平。

       

      Abstract: A model concerning the evolution of small vegetative patches for generalized river was established to study the succession of vegetation. Two-dimensional shallow water equations were taken as the governing equations, which was solved by the finite volume method. The equivalent Manning coefficient was applied to generalize the effects of vegetative patches. New vegetation would emerge in regions where the bed shear force is lower than the threshold and disappear on the contrary. The influence of vegetation drag on flow and bed shear force on vegetation succession was considered. A mathematical model coupling the growth-decay of vegetation and hydrodynamic process was then established to simulate the succession of vegetation under different conditions. Two thresholds of bed shear force and two initial densities of vegetative patches were focused during the simulation. The results show that the vegetative patches in river usually evolve from block-shaped to strip-shaped, and a higher threshold of shear force is always related to a larger final area of vegetation. The final vegetation area accounts for 47%~49% of the total river area when the threshold coefficient of shear force is 0.5. However, the ratio comes to 58%~60% when the threshold coefficient is 0.7. Different initial vegetation distributions have no influence on the final vegetation coverage, but larger initial vegetation density can produce more rapid initial growth, causing the vegetation area to reach a basically stable state more quickly.

       

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