<p>When ultrasonic waves interact with rocks, physical and mechanical properties as well as structural features of the rock mass can be inferred by analyzing changes in wave velocity, amplitude, and attenuation coefficient. To investigate how ultrasonic acoustic characteristics vary with elastic mechanical parameters-specifically Young’s modulus <i>E</i> and Poisson’s ratio <i>v</i>. This study analyzed ultrasonic wave propagation in sandstone through both physical rock mechanics experiments and COMSOL-based numerical simulations. Wave velocity in sandstone was determined using the Akaike Information Criterion (AIC) algorithm and wave-speed formulas. Changes in ultrasonic waveforms were examined to assess the influence on wave amplitude and attenuation. The experimental and simulation results showed strong agreement, with consistent trends and fitted curves. Key findings include: (1) Wave velocity in sandstone increases nonlinearly with rising elastic modulus; (2) Poisson’s ratio causes significant dispersion in wave velocity, showing no clear functional relationship that could characterize deformation properties; (3) Ultrasonic amplitude gradually decreases with propagation distance under varying <i>E</i> and <i>v</i> conditions. Higher Young’s modulus corresponds to lower attenuation, while the effect of Poisson’s ratio on attenuation is minor and irregular. The average attenuation coefficient of sandstone within 0–100&#xa0;mm was calculated to be 7.40%.</p>

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Correlating ultrasonic wave velocity and nonlinear attenuation with Young's modulus and Poisson's ratio in sandstone

  • Guolong Guo,
  • Chi Ma,
  • Jiaxing Liu,
  • Zhan He,
  • Peitao Wang,
  • Meifeng Cai

摘要

When ultrasonic waves interact with rocks, physical and mechanical properties as well as structural features of the rock mass can be inferred by analyzing changes in wave velocity, amplitude, and attenuation coefficient. To investigate how ultrasonic acoustic characteristics vary with elastic mechanical parameters-specifically Young’s modulus E and Poisson’s ratio v. This study analyzed ultrasonic wave propagation in sandstone through both physical rock mechanics experiments and COMSOL-based numerical simulations. Wave velocity in sandstone was determined using the Akaike Information Criterion (AIC) algorithm and wave-speed formulas. Changes in ultrasonic waveforms were examined to assess the influence on wave amplitude and attenuation. The experimental and simulation results showed strong agreement, with consistent trends and fitted curves. Key findings include: (1) Wave velocity in sandstone increases nonlinearly with rising elastic modulus; (2) Poisson’s ratio causes significant dispersion in wave velocity, showing no clear functional relationship that could characterize deformation properties; (3) Ultrasonic amplitude gradually decreases with propagation distance under varying E and v conditions. Higher Young’s modulus corresponds to lower attenuation, while the effect of Poisson’s ratio on attenuation is minor and irregular. The average attenuation coefficient of sandstone within 0–100 mm was calculated to be 7.40%.