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高孔隙率气泡群最小共振频率的简化预测模型

A simplified predictive model for the minimum resonance frequency of high-void-fraction bubble clouds

  • 摘要: 为高效预测高孔隙率条件下气泡群的最小共振频率并实现孔隙率反演,本文基于多体散射与等效介质理论,结合平均场假设,建立了仅依赖孔隙率与平均半径的气泡群共振频率的简化模型。通过COMSOL仿真获取数据,并采用Rational-2D函数拟合,得到显式预测公式。结果表明:在孔隙率为0.25%–25%、气泡平均半径为1–3mm范围内,模型拟合效果良好。该模型无需已知气泡具体分布与尺寸,即可快速估算气泡群共振频率,为声学气泡监测与孔隙率反演提供了一种高效计算工具。

     

    Abstract: To efficiently predict the minimum resonance frequency of high-void-fraction bubble clouds and enable porosity inversion, this paper develops a simplified model based on multiple scattering theory and effective medium theory, incorporating a mean-field approximation. The model depends solely on porosity and the average bubble radius. Using data obtained from COMSOL simulations and fitted with a rational 2D function, an explicit predictive formula is derived. The results show that the model performs well for fitting scenarios within the porosity range of 0.25%–25% and bubble radii of 1–3 mm. Without requiring detailed bubble size distribution or individual bubble sizes, the model enables rapid estimation of the resonance frequency of bubble clouds, providing an efficient computational tool for acoustic bubble monitoring and porosity inversion.

     

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