西南石油大学学报(自然科学版) ›› 2006, Vol. 28 ›› Issue (3): 27-29.DOI: 10.3863/j.issn.1000-2634.2006.03.009
• 石油工程计算技术 • 上一篇 下一篇
吴小庆 1 王宇 2 江茂泽 3
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WU Xiao-qing1 WANG Yu2 JIANG Mao-ze 3
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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徽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呈之间的关系。运用最小二乘法原理求解矛质方程组，找出了泄漏点位里，并用MATLAB编程实现。
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, MATLAB
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 condilion of only one leakage location existing. And then, the orthog onal transformation was taken to get the relationship between the leakage and the location. With the least square algorithm, theinconsistent equation set was solved to find out the location of leakage. The above process is realized with MATLAB.
Key words: partial difFerential equation, reversed question, orthogonal transformation, least square algorithm, inconsis-tent equation set, MATLAB
中图分类号:
TE873.6
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]. 西南石油大学学报(自然科学版), 2006, 28(3): 27-29.
WU Xiao-qing WANG Yu JIANG Mao-ze . THE PROBLEM OF THE DETECTION OF THE LEAK LOCATION IN THE GAS PIPELINE[J]. 西南石油大学学报(自然科学版), 2006, 28(3): 27-29.
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