考虑分界面的黏性泥石流下游演进数学模型研究

邓曌; 陈生水; 钟启明

doi:10.11779/CJGE201903003

考虑分界面的黏性泥石流下游演进数学模型研究 English Version

邓曌¹,
陈生水^{1, 2},
钟启明^{1, 2}

1. 南京水利科学研究院,江苏南京 210029;
2. 水利部土石坝破坏机理与防控技术重点实验室,江苏南京 210024

基金项目: 国家重点研发计划项目（2017YFC0804605）; 国家自然科学基金项目（51539006; 51779153）; 中央级公益性科研院所基本科研业务费专项资金项目（Y118013）

详细信息

作者简介:
邓曌(1988- ),男,江苏扬州人,博士后,主要从事尾矿库溃坝及致灾后果评价研究。E-mail：zdeng@nhri.cn。

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出版历程
- 收稿日期: 2018-02-26
- 发布日期: 2019-03-24

Numerical simulation of evolution of viscous debris flows considering interface

1. Nanjing Hydraulic Research Institute, Nanjing 210029, China;
2. Key Laboratory of Failure Mechanism and Safety Control Techniques of Earth-Rock Dam of the Ministry of Water Resources of P.R. China, Nanjing 210024, China

摘要

摘要: 基于分界面理论,以泥石流屈服深度对应的面为分界面,将黏性泥石流分为理想流体和Bingham流体,建立了模拟黏性泥石流演进过程的数学模型和相应计算方法。该模型基于泥石流的运动特征,注重不同层间泥石流流速的差异,并可合理反映泥石流运动速度对其演进形态的影响机制;同时,全面考虑了黏性泥石流在演进过程中所呈现的“舌状体”和“龙头”由上向下翻落现象,因此可更准确描述黏性泥石流在演进过程中的运动状态。采用3组模型试验结果对建立的数学模型与计算方法进行了验证,结果表明：模型计算得出的泥石流泛滥范围和最大堆积厚度与模型试验结果误差在±5%以内,验证了模型的合理性。
- Bingham流体 /
- 分界面 /
- 交替方向隐式法 /
- 有限体积法
Abstract: Based on the interface theory, taking the corresponding surface of the yielding depth of debris flows as the interface, the viscous debris flow can be divided into ideal fluid and Bingham fluid. Thus, a numerical model and the relative algorithm are developed to simulate the evolution of debris flows. The model is based on the motion feature of the debris and cosiders the velocity differences of debris flows in different layers, thereby, it can reasonably describe the evolution mechanism and the influences on the morphology of debris flows due to the flow velocity. Meanwhile, the model fully considers the phenomena of “tongue-like” and “debris flow head” of actual debris flows, thus, the motion state of the debris flows during the evolution can be depicted accurately. A series of model tests are adopted to verify the proposed numerical model and the algorithm. The comparison between the measured and calculated results indicates that the relative errors of the inundation areas and the maximum accumulation thicknesses are within ±5%, and the rationality of the proposed model is validated.
- Bingham fluid /
- interface /
- alternating direction implicit method /
- finite volume method

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参考文献(25)

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