| 关于输气管道的一个泄漏点的检测问题 |
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| 引用本文： | 吴小庆,王宇,江茂泽.关于输气管道的一个泄漏点的检测问题[J].西南石油学院学报,2006,28(3):27-29. |
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| 作者姓名： | 吴小庆 王宇 江茂泽 |
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| 作者单位： | [1]西南石油大学计算机科学学院,四川成都610500 [2]西南石油大学研究生院,四川成都610500 [3]西南石油大学教务处,四川成都610500 |
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| 摘 要： | 对于考虑天然气输气管道一个泄漏点的检测问题,建立了存在一个泄漏点的输气管道的偏微分方程反问题的数学模型,利用正交变换法找出了泄漏点的漏失量与泄漏位置之间的关系.运用最小二乘法原理求解矛盾方程组,找出了泄漏点位置,并用MATLAB编程实现.
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| 关 键 词： | 偏微分方程 反问题 正交变换法 最小二乘法 矛盾方程组 |
| 文章编号： | 1000-2634(2006)03-0027-03 |
| 收稿时间： | 2006-02-16 |
| 修稿时间： | 2006年2月16日 |
The Problem of the Detection of the Leak Location in the Gas Pipeline |
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| WU Xiao-qing,WANG Yu,JiANG Mao-ze.The Problem of the Detection of the Leak Location in the Gas Pipeline[J].Journal of Southwest Petroleum Institute,2006,28(3):27-29. |
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| Authors: | WU Xiao-qing WANG Yu JiANG Mao-ze |
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| Abstract: | In order to solve the problem of the detection of the leak location in the gas pipeline, a partial differential equation (PDE) reversed question mathematical model was founded on the condition of only one leakage location existing. And then, the orthogonal transformation was taken to get the relationship between the leakage and the location. With the least square algorithm, the inconsistent equation set was solved to find out the location of leakage. The above process is realized with MATLAB. |
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| Keywords: | MATLAB |
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