饱和土中埋地管道泄漏管壁声波波速计算方法

VELOCITY CALCULATION METHOD FOR LEAK-INDUCED ACOUSTIC WAVE IN BURIED PIPELINES CONSIDERING SATURATED SOIL CONDITIONS

  • 摘要: 埋地管道泄漏已成为影响城市正常运转的重要威胁。基于管壁固体声波的泄漏定位方法应用广泛,但其精度直接依赖于波速的准确计算。现有波速计算方法多将外部土体简化为单相均质介质,然而在地下水位较高或受泄漏流体影响时,土体常处于饱和状态,其对波速的影响需要精确评估。本文基于Biot多孔介质理论,建立了考虑饱和介质作用的流体控制模态(s=1)频散波速计算方法,并以钢和球墨铸铁供水管道、钢和PE燃气管道为对象,系统分析了在不同土体、管材、管径及内流介质条件下的泄漏管壁波速差异,并通过土体关键参数的敏感性分析揭示其对波速的影响程度。结果表明,对DN500及以下的中小口径供水管及各类燃气管,饱和介质对s=1波速的影响可忽略;而在DN1000大口径供水管中,两类介质间的波速差异随频率升高而增大,最大相对误差达18.67%,其中孔隙率、体积模量和泊松比是主要控制参数。研究结果揭示了饱和介质对管壁波速的影响规律,为泄漏定位中的波速确定提供了理论依据,推动实际场景中定位精度的进一步提升。

     

    Abstract: Leakage in buried pipelines poses a major threat to urban infrastructure. Acoustic-wave-based leak localization method is widely used, but its accuracy relies heavily on the precise velocity estimation. Many approaches simplify the soil as a single-phase homogeneous medium. However, high groundwater level and fluid leakage may lead to soil saturation, whose effects on wave velocities require accurate assessment. This study develops a calculation model for the fluid-dominated wave (s=1 mode) velocity by incorporating Biot’s poroelastic theory to represent saturated soil behavior. Steel and ductile iron water pipelines, as well as steel and polyethylene (PE) gas pipelines, are examined to systematically evaluate wave velocity variations with respect to soil type, pipe material, pipe diameter, and internal fluid. Sensitivity analysis is conducted to assess the influence of key soil parameters on wave velocity. The results indicate that for water pipelines with diameters up to DN500 and for all gas pipelines considered, the influence of saturated soil is negligible. In contrast, for DN1000 water pipelines, the velocity difference between saturated and homogeneous soil conditions increases with frequency, reaching a maximum relative error of 18.67%. Porosity, soil bulk modulus and Poisson’s ratio are identified as the key factors. These findings clarify the role of saturated soil in s=1 wave propagation and provide a theoretical basis for accurate velocity determination in pipeline leak localization.

     

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