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基于地理信息系统和元胞自动机的坡面雨水运动过程模型及其应用

GIS and cellular automata based slope rainwater movement process model and its application.

作者信息

Liu Lei, Chen Yu, Zhang Yanjun, Lian Zhipeng, Pei Laizheng, Liu Yalei

机构信息

Wuhan Center, China Geological Survey (Geosciences Innovation Center of Central South China), Wuhan, 430205, Hubei, China.

Innovation Base for Geo-safety Risk Forecasting and Prevention Technology in Central South China, Geological Society of China, Wuhan, 430205, Hubei, China.

出版信息

Sci Rep. 2024 Apr 28;14(1):9750. doi: 10.1038/s41598-024-60263-8.

Abstract

Rainfall serves as a significant factor contributing to slope stability challenges in mountainous areas, and simulating the process of slope rainwater movement is a crucial approach for analyzing the stability of slopes triggered by rainfall. By combining computer numerical simulation technology with traditional hydraulic and hydrological calculation theories, it is possible to create an efficient and precise rainwater movement model that can simulate and analyze the process of rainwater movement on slopes. Utilizing natural slopes as the focal point of our research, the cellular automaton method was applied to simulate rainfall runoff on slopes, and a Cellular Automata (CA) based model for rainwater movement process was developed. This model modified the Green-Ampt (G-A) infiltration model by adopting an elliptical water content curve and introducing a coefficient that quantifies the ratio of saturated to unsaturated depth. Additionally, we refined the rules governing runoff generation and convergence within the slope and on its surface, enabling a comprehensive simulation of the entire rainwater movement process on the slope. Furthermore, the effectiveness of the model was validated through analytical solutions derived from simplified assumptions, laboratory experiments on infiltration and runoff in the flume, and a case study of a natural slope. The results show that the infiltration calculation results of the rainwater movement model are closer to the experimental values, and their overall values are slightly higher than the measured values, which are basically consistent with the model test results; The runoff calculation results show a phenomenon of initially increasing and gradually approaching the measured values compared to the measured values. When applying the model to an actual slope, it was found that the model comprehensively accounts for the influence of slope seepage, infiltration and runoff process, has better performance compared to G-A modified model. The model can be used to describe the spatial distribution and temporal variation of infiltration and runoff processes.

摘要

降雨是导致山区边坡稳定性问题的一个重要因素,模拟边坡雨水运动过程是分析降雨引发边坡稳定性的关键方法。通过将计算机数值模拟技术与传统水力学和水文计算理论相结合,能够创建一个高效且精确的雨水运动模型,用于模拟和分析边坡上的雨水运动过程。以自然边坡为研究重点,应用元胞自动机方法模拟边坡降雨径流,建立了基于元胞自动机(CA)的雨水运动过程模型。该模型通过采用椭圆含水量曲线并引入一个量化饱和深度与非饱和深度比值的系数,对格林 - 安普特(G - A)入渗模型进行了修正。此外,还细化了边坡内部及其表面径流产生和汇聚的规则,实现了对边坡上整个雨水运动过程的全面模拟。此外,通过简化假设得到的解析解、水槽中入渗和径流的室内实验以及一个自然边坡的案例研究,对模型的有效性进行了验证。结果表明,雨水运动模型的入渗计算结果更接近实验值,其整体值略高于实测值,与模型试验结果基本一致;径流计算结果与实测值相比呈现出先增大后逐渐趋近实测值的现象。将该模型应用于实际边坡时发现,该模型综合考虑了边坡渗流、入渗和径流过程的影响,与G - A修正模型相比具有更好的性能。该模型可用于描述入渗和径流过程的空间分布和时间变化。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1564/11056382/dfa5d6d9cc6d/41598_2024_60263_Fig1_HTML.jpg

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