The propagations of acoustic waves in bubbly liquids have been extensively investigated through experimental and theoretical methods, a computational fluid dynamics (CFD) method was introduced to investigate the acoustic attenuation through bubbles in this study. Numerical ‘measurements’ of attenuation coefficient (α) and phase velocity (V) were conducted using a homogeneous cavitation model, which were modeled from experimental schemes and compared with the theoretical results. At extremely small bubble volume fraction (β around 10⁻¹¹), new formulas of the theoretical α (α_theo) were proposed respectively for linear and transient oscillations, and a new formula of the numerical α (α_num) was proposed for transient oscillations. Results showed that α_num matched precisely with α_theo for linear, nonlinear and transient oscillations. At medium β (around 10⁻⁴), the relative difference of α_num between the VOF and present methods was less than 1.6%, while it reached 15.4% after replacing the bounded Keller-Miksis equation (KME) in the present method with the KME. However, the traditional theoretical α and V matched precisely with the predictions by the present method with the KME. Thus new theoretical α and V were proposed based on the bounded KME, and the relative differences between α_theo and α_num were less than 1%. It can be concluded that the bounded KME should be used in both numerical and theoretical predictions.

声波在气泡液体中的传播已通过实验和理论方法进行了广泛研究，本研究引入了计算流体动力学 (CFD) 方法来研究气泡对声波的衰减。使用均匀空化模型对衰减系数 ( α ) 和相速度 ( V ) 进行数值“测量”，该模型根据实验方案建模并与理论结果进行比较。在极小的气泡体积分数 ( β大约 10 ⁻¹¹ ) 下，理论α ( α _theo) 分别针对线性和瞬态振荡提出，并针对瞬态振荡提出了数值α ( α _{num ) 的新公式。}结果表明，对于线性、非线性和瞬态振荡， α _num与α _theo精确匹配。在中等β值（10 ^{-4左右）下，VOF方法与现有方法的}α _num相对差异小于1.6%，而将现有方法中的有界Keller-Miksis方程（KME）替换为KME。然而，传统的理论α和V与本方法与 KME 的预测精确匹配。_{从而在有界KME的基础上提出了新的}理论α和V，αtheo与αnum的相对差异小于1%。可以得出结论，在数值和理论预测中都应使用有界 KME。