基于sPCE的参数的全球灵敏度分析:中国西北部一座混凝土面岩石填埋的案例研究
Li Ran1,2, Jie Yang1,2, Chunhui Ma1,2
1State Key Laboratory of Eco-hydraulics in Northwest Arid Region, Xi'an University of Technology, Xi'an, China.
PloS one
|August 31, 2023
概括
本研究介绍了一种稀疏多项式混乱扩张 (sPCE) 方法,用于对混凝土面岩石填充水的高效灵敏度分析. 它准确地识别了影响大移位的关键材料参数,即使数据有限.
科学领域:
- 地质技术工程 地质技术工程
- 计算力学 计算力学 计算力学
- 数字建模 数字建模
背景情况:
- 混凝土面岩石填充水需要准确的材料参数识别,以确保安全和高效的设计.
- 对于复杂的水模型,传统的灵敏度分析方法可能是计算密集和低效的.
研究的目的:
- 提出基于稀疏多项式混沌扩张 (sPCE) 的全球灵敏度分析方法,用于识别混凝土面岩填充水中的关键材料参数.
- 为了提高大工程中的参数优化效率.
- 为了评估不同水区内的参数灵敏度的空间变化.
主要方法:
- 使用拉丁式超立方采样来选择材料参数.
- 采用有限元法 (FEM) 来计算大特征节点位移.
- 应用稀疏多项式混乱扩展 (sPCE) 进行位移近似和对直角匹配追求基础函数重建.
- 从混乱系数计算Sobol'指数,以确定参数的影响和相互作用.
主要成果:
- 使用缩小样本大小,sPCE模型在模拟水位移及其统计性质方面表现出高准确度.
- 在大的不同区域中确定了参数灵敏度的显著空间变化.
- 由于参数级别和材料空间分布,参数灵敏度排名中的突出差异.
结论:
- sPCE方法提供了一种高效且准确的方法,用于混凝土面岩填充水的灵敏度和不确定性分析.
- 了解参数灵敏度的空间变化对于有效的水设计和风险评估至关重要.
- 拟议的方法为大分析中的实际工程应用提供了有价值的参考.
相关概念视频
01:17Design Example: Analyzing Capacity Contours for Flood Risk Assessment
67
Flood risk assessment involves careful planning and analysis to ensure the safety of communities near water retention structures. Capacity contours are a vital tool in this process, as they illustrate the potential spread of water at specific levels in a given area. In the context of building a bund across a small valley, these contours play a critical role in evaluating the safety of nearby residential areas.In this example, the bund is intended to store stormwater in the valley. The engineers...
67
01:21Design Example: Creating a Hydraulic Model of a Dam Spillway
211
Scaled hydraulic models of dam spillways provide a practical way to replicate and study the intricate flow dynamics of these structures. Often built to a 1:15 ratio, these models allow for observing critical water behavior, such as velocity distribution, flow patterns, and energy dissipation.
211
01:14Design Example: Managing Concrete Workability
100
This example deals with managing the workability of concrete for a raft foundation project under hot weather conditions. Workability is crucial for ensuring the concrete is easy to place, compact, and finish. In this scenario, a slump test — a common method to measure the workability of fresh concrete — initially indicated low workability. This was attributed to the rapid water loss from the concrete mix, exacerbated by the high temperatures causing the course aggregates to heat up.
100
01:19Design Example: Maintaining Level of an Embankment
91
Constructing a roadway embankment over uneven terrain requires precise leveling to ensure stability and proper drainage. Surveyors use a leveling instrument and staff to calculate ground elevations and determine the required fill material at each point along the embankment alignment.The process begins by positioning a leveling instrument near a benchmark with a known elevation. A backsight reading establishes the instrument height, which serves as a reference for subsequent measurements. A...
91
01:16Dynamic Modulus of Elasticity of Concrete
387
The dynamic modulus of elasticity assesses how a concrete structure deforms under impact or dynamic loads. It is typically higher than the static modulus of elasticity, measured under slow, steady loading conditions.
The sonic test is a common method to determine the dynamic modulus. In this test, a concrete beam, sized either 6 x 6 x 30 inches or 4 x 4 x 20 inches, is clamped at its center. Vibrations are initiated at one end of the beam by an electromagnetic exciter unit powered by...
The sonic test is a common method to determine the dynamic modulus. In this test, a concrete beam, sized either 6 x 6 x 30 inches or 4 x 4 x 20 inches, is clamped at its center. Vibrations are initiated at one end of the beam by an electromagnetic exciter unit powered by...
387
01:26Unsoundness of Aggregate due to Volume Change
130
Unsoundness in aggregates due to volume changes is primarily caused by the physical alterations aggregates undergo, such as freezing and thawing, thermal changes, and wetting and drying. Unsound aggregates, when subjected to these changes, result in volume change upon disintegration. This, in turn, contributes to the deterioration of concrete, including scaling, pop-outs, and cracking. Particular types of aggregates, such as porous flints, cherts, and those containing clay minerals, are...
130