埋地管道小泄漏模型及数值求解

doi:10.7623/syxb201203023

石油学报 ›› 2012, Vol. 33 ›› Issue (3): 493-498.DOI: 10.7623/syxb201203023

埋地管道小泄漏模型及数值求解

熊兆洪　李振林　宫　敬　李　克

中国石油大学机械与储运工程学院　北京　102249

收稿日期:2011-11-20 修回日期:2012-02-21 出版日期:2012-05-25 发布日期:2012-07-20
通讯作者: 熊兆洪
作者简介:熊兆洪，男，1967年4月生，1989年毕业于重庆大学物理学院，现为中国石油大学（北京）机械与储运工程学院在读博士研究生，主要从事油气计量方面的研究。
基金资助:
低碳能源工程交叉学科北京市重点学科建设基金资助。

A model for underground pipeline small leakage and its numerical solution

XIONG Zhaohong　LI Zhenlin　GONG Jing　LI Ke

Received:2011-11-20 Revised:2012-02-21 Online:2012-05-25 Published:2012-07-20

摘要/Abstract

摘要：

随着全国范围的天然气管网逐渐形成，管道运行安全管理的重要性日益突出。在气体单相渗流理论的基础上，结合高速非达西渗流理论，建立了埋地管道发生穿孔小泄漏后在土壤中渗流的数学模型。利用有限体积法对控制方程做离散，以三对角阵（TDMA）和交替方向隐式线迭代法（ADI）对离散方程进行求解。结合实验研究，得到了适用于地表土壤的高速非达西渗流系数经验公式和土壤变形压力修正公式。采用该修正公式计算得到的压力分布与实验结果吻合较好,证明了数值模型的正确性。

关键词: 天然气, 埋地管道, 小泄漏, 数值模型, 有限体积法

Abstract:

Several long-distance transporting pipelines have been constructed in the past ten years to meet the rapid increasing demand and usage of natural gases in China. Along with the construction of West-East China and Sichuan to eastern China long-distance natural gas transporting pipelines, a national-wide gas pipeline network has taken shape. Therefore, safety management of pipelines has gained more and more attention. A mathematic model for the natural gas porous flow in soil after the underground pipeline small leakage was established based on theories of the single-phase porous flow and high-speed non-Darcy porous flow. A finite volumetric method was applied to making controlling equations discrete and these discrete equation were solved with the tridiagonal matrix (TDMA) and the alternating direction implicit (ADI). An empirical equation applicable to the high-speed non-Darcy seepage coefficient of surface soil and a pressure-modifier formula of soil deformation were derived through a comparison of experimental data with numerical simulation results. The pressure distribution acquired by the calculation with the empirical equation was in a good agreement with experiment results, which proves the correctness of the numerical model.

Key words: natural gas, underground pipeline, small leakage, numerical model, finite volumetric method

熊兆洪　李振林　宫　敬　李　克. 埋地管道小泄漏模型及数值求解[J]. 石油学报, 2012, 33(3): 493-498.

XIONG Zhaohong　LI Zhenlin　GONG Jing　LI Ke. A model for underground pipeline small leakage and its numerical solution[J]. Editorial office of ACTA PETROLEI SINICA, 2012, 33(3): 493-498.

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埋地管道小泄漏模型及数值求解

A model for underground pipeline small leakage and its numerical solution

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