Global S&T Development Trend Analysis Platform of Resources and Environment
DOI | 10.1029/2018WR023383 |
Method of Distributions for Water Hammer Equations With Uncertain Parameters | |
Alawadhi, Abdulrahman1; Boso, Francesca2; Tartakovsky, Daniel M.2 | |
2018-11-01 | |
发表期刊 | WATER RESOURCES RESEARCH
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ISSN | 0043-1397 |
EISSN | 1944-7973 |
出版年 | 2018 |
卷号 | 54期号:11页码:9398-9411 |
文章类型 | Article |
语种 | 英语 |
国家 | USA |
英文摘要 | Water hammer equations (WHE) are routinely used to interpret leak detection tests in pipe networks. Assimilation of pressure data into model predictions is typically done within the probabilistic framework, which treats uncertain model parameters (e.g., initial and boundary conditions, location, and intensity of a leak) as random variables so that solutions of the WHE are given in terms of probability density functions (PDFs) of fluid pressure and velocity. These are usually estimated with computationally expensive Monte Carlo simulations. We use the method of distributions to derive a deterministic equation for the (joint) PDFs of the pressure and flow rate governed by the WHE. This PDF equation employs a closure approximation that ensures the self-consistency in terms of the mean and variance of the state variables. Our numerical experiments demonstrate the agreement between solutions of the PDF equation and Monte Carlo simulations, and the computational efficiency of the former relative to the latter. |
英文关键词 | water hammer uncertainty quantification PDF equation leak detection |
领域 | 资源环境 |
收录类别 | SCI-E |
WOS记录号 | WOS:000453369400046 |
WOS关键词 | LEAK DETECTION ; PIPELINES ; PIPES |
WOS类目 | Environmental Sciences ; Limnology ; Water Resources |
WOS研究方向 | Environmental Sciences & Ecology ; Marine & Freshwater Biology ; Water Resources |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://119.78.100.173/C666/handle/2XK7JSWQ/21321 |
专题 | 资源环境科学 |
作者单位 | 1.Univ Calif San Diego, Dept Mech & Aerosp Engn, La Jolla, CA 92093 USA; 2.Stanford Univ, Dept Enenrgy Resources Engn, Stanford, CA 94305 USA |
推荐引用方式 GB/T 7714 | Alawadhi, Abdulrahman,Boso, Francesca,Tartakovsky, Daniel M.. Method of Distributions for Water Hammer Equations With Uncertain Parameters[J]. WATER RESOURCES RESEARCH,2018,54(11):9398-9411. |
APA | Alawadhi, Abdulrahman,Boso, Francesca,&Tartakovsky, Daniel M..(2018).Method of Distributions for Water Hammer Equations With Uncertain Parameters.WATER RESOURCES RESEARCH,54(11),9398-9411. |
MLA | Alawadhi, Abdulrahman,et al."Method of Distributions for Water Hammer Equations With Uncertain Parameters".WATER RESOURCES RESEARCH 54.11(2018):9398-9411. |
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