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基于L-系统的生态护岸植被根系生长模拟研究

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[目的]生态护岸植被根系作为一种活体工程材料,在岸坡土体失稳变形时通过承受拉力限制土体位移变形,提高土体抗剪强度,保证岸坡稳定。基于L-系统构建植物根系模型目前在生物科学、农业、林业、园艺等领域开展了较好的研究,但在生态护岸植被根系生长模拟仿真方面,相关研究还尚未开展。[方法]基于生态护岸区植物生境的特点,通过L-系统建立了生态护岸植物根系三维生长模型,构建了考虑根系轴向生长和侧向分支、岸坡坡度、浸润线高度、根的随机自由弯曲和向地性生长的植物根系生长规则;利用Matlab开发植物根系三维模型程序,并以华北平原永定河莲石湖段两岸边坡的狗牙根-连翘-榆树植被类型为例,采用根表面积密度的相对误差对模型进行校验。[结果]结果显示:狗牙根根系扫描的表面积密度为 7。62 cm2·dm-3,模型模拟计算出的根系表面积密度为10。48 cm2·dm-3,其相对误差为 37。50%;连翘根系扫描的表面积密度为 11。01 cm2·dm-3,模型计算出的根表面积密度为15。28 cm2·dm-3,其相对误差为38。78%;榆树根系扫描的表面积密度为11。96 cm2·dm-3,模型计算出的根系表面积密度为 16。26 cm2·dm-3,其相对误差为 35。95%。[结论]结果表明:草本植物狗牙根、灌木植物连翘以及乔木植物榆树这三种植被的根表面积密度的相对误差均在40。00%以下,符合预期效果,说明建立的模型能较好地反映草灌桥植被类型的根系形态结构;程序生成的图像在根系总体走向和形态分布上与根系扫描图形非常接近,说明开发的程序能很好地实现建立的模型。通过案例的对比分析,校验了模型的可靠性和有效性,揭示了根系对护岸生境的适应性,并为生态护岸工程植物配置提供了科学方法。
Simulation study on root growth of ecological revetment vegetation based on L-system
[Objective]As a living engineering material,the root system of ecological revetment vegetation limits the displacement and deformation of soil by bearing tension when the slope soil is unstable and deformed,improves the shear strength of soil and ensures the stability of bank slope.The construction of plant root model based on L-system has been well studied in the fields of biological science,agriculture,forestry,horticulture and so on.However,the related research has not been carried out in the simulation of root growth of ecological revetment vegetation.[Methods]Based on the characteristics of plant habitats in the eco-logical revetment area,a three-dimensional growth model of plant roots in the ecological revetment was established based on L-system,and the growth rules of plant roots considering axial growth and lateral branching of roots,slope gradient,height of in-filtration line,random free bending of roots and geotropism were constructed;then,a three-dimensional modeling program of the plant roots was developed by using Matlab;finally,the model was calibrated by using the relative error of root surface area densi-ty as an example for the cynodon dactylon-weeping forsythia-ulmus pumila L vegetation type on both sides of the slope of the Lianshi Lake section of the Yongding River in the North China Plain as an example.[Results]The result showed that the surface area density of cynodon dactylon root scanning was 7.62 cm2·dm-3,and the root surface area density calculated by the model simulation was 10.48 cm2·dm-3,with a relative error of 37.5%.The surface area density of weeping forsythia root scanning was 11.01 cm2·dm-3,and the root surface area density calculated by the model was 15.28 cm2·dm-3,with a relative error of 38.78%.The surface area density of ulmus pumila L root scanning was 11.96 cm2·dm-3,and the root surface area density cal-culated by the model was 16.26 cm2·dm-3,with a relative error of 35.95%.[Conclusion]The result showed that the relative errors of the root surface area density of the three vegetations of the herbaceous plant cynodon dactylon,the shrub plant weeping forsythia and the tree plant ulmus pumila L were all below 40%,which was in line with the expected result,indicating that the established model can better reflect the root morphological structure of the grass-shrub bridge vegetation type.The image genera-ted by the program is very close to the root scanning graph in the overall trend and morphological distribution of the root system,indicating that the developed program can well realize the established model.Through the comparative analysis of the case,the reliability and validity of the model are verified,the adaptability of the roots to the revetment habitat is revealed,and a scientific method is provided for the plant configuration of the ecological revetment project.

ecological revetmentL-systemplant rootsgrowth modelproduction ruleindicator systeminfluencing factors

周子棚、赵进勇、韩会玲、丁洋、崔子腾、王琦、薛洋、梁伟

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河北农业大学 城乡建设学院,河北 保定 071000

中国水利水电科学研究院,北京 100038

中国水务投资有限公司,北京 100053

生态护岸 L-系统 植被根系 生长模型 产生式规则 指标体系 影响因素

2024

水利水电技术(中英文)
水利部发展研究中心

水利水电技术(中英文)

CSTPCD北大核心
影响因子:0.456
ISSN:1000-0860
年,卷(期):2024.55(11)