基于流体粒子分层统计算法的泥石流流速垂向非线性分布模型  

NONLINEAR VERTICAL VELOCITY DISTRIBUTION OF DEBRIS FLOWS USING FLUID-PARTICLE HIERARCHICAL STATISTICAL ALGORITHM

作　　者：韩征[1,2] 曾垂成 李艳鸽 陈光齐 陈宁生[5] 胡桂胜[5] 徐林荣[1] HAN Zheng;ZENG Chuicheng;LI Yange;CHEN Guangqi;CHEN Ningsheng;HU Guisheng;XU Linrong(School of Civil Engineering,Central South University,Changsha 410075,China;Hunan Provincial Key Laboratory for Disaster Prevention and Mitigation of Rail Transit Engineering Structures,Changsha 410075,China;The Key Laboratory of Engineering Structures of Heavy Haul Railway,Ministry of Education,Changsha 410075,China;Department of Civil and Structural Engineering,Kyushu University,Fukuoka 819-0395,Japan;Chengdu Institute of Mountain Hazards and Environment,Ministry of Water Resources,Chinese Academy of Sciences,Chengdu 610041,China)

机构地区：[1]中南大学土木工程学院,长沙410075 [2]轨道交通工程结构防灾减灾湖南省重点实验室,长沙410075 [3]重载铁路工程结构教育部重点实验室,长沙410075 [4]九州大学工学府,福冈819-0395 [5]中国科学院,水利部成都山地灾害与环境研究所,成都610041

出　　处：《工程地质学报》2023年第3期893-904,共12页Journal of Engineering Geology

基　　金：国家重点研发计划专项(资助号:2018YFC1505401);国家自然科学基金面上项目(资助号:52078493);湖南省自然科学基金优秀青年项目(资助号:2021JJ20057)。

摘　　要：泥石流断面内流速垂向分布是研究其流量、冲击力和沟床侵蚀过程的关键。然而,受限于测量装置布设条件,泥石流现场实测及水槽试验中常用的分层流速仪等设备仅能采集断面内少量样本点的流速数据,导致基于实测结果拟合回归的线性分布模型难以准确描述泥石流速度分布规律。对此,本文依托大比例尺泥石流水槽试验开展研究,利用所构建的基于HBP本构的光滑粒子流体动力学(SPH)数值模型反演泥石流三维动力过程,通过分层统计算法对大量粒子速度数据进行分析处理,获得了断面内速度垂向分布规律,并据此提出了基于对数函数的泥石流流速垂向非线性分布模型。为验证所提出模型的准确性,利用其他多组水槽试验数据进行了对比分析,结果表明,本文提出的对数分布模型比传统线性分布模型能够更准确地拟合速度剖面,并在模型参数敏感性方面具有更强鲁棒性。The vertical distribution of flow velocity in debris flow section is the key to study the flow,impact force and sediment entrainment process.However,in the field measurement of debris flow and flume test,the commonly used stratified current meter only collects the velocity data of a small number of sampling points in the section due to the limitation of the arrangement of measuring devices,which makes it difficult for the linear distribution model based on the regression of measured results to accurately describe the velocity distribution law of debris flow.The paper uses a large-scale flume test of debris flow and a smoothed particle hydrodynamics(SPH)numerical model based on HBP constitutive,and inverts the three-dimensional dynamic process of debris flow.Large amounts of particle velocity data are analyzed and processed by hierarchical statistical algorithm.The vertical distribution characteristics of velocity in the section are obtained.A nonlinear vertical distribution model of flow velocity of debris flow based on logarithmic function is proposed.In order to verify the accuracy of the proposed model,several sets of flume test data are used for comparative analysis.The results show that the proposed logarithmic distribution model can fit the velocity profile more accurately than the traditional linear distribution model,and has better robustness in terms of model parameter sensitivity.

关 键 词：泥石流 流速 垂向分布 对数模型 数值模拟 

分 类 号：P642.23[天文地球—工程地质学]