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Logical Inference for Model-Based Reconstruction of Ultrasonic Nonlinearity

机译：基于模型的超声非线性重建逻辑推理

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摘要

Quantifying the constitutive nonlinearity parameter beta in fluids is of key interest for understanding ultrasonic propagation and its wide implications in medical and industrial applications. However, current methods for ultrasonically measuring it show large limitations in that the signal is only valid at a reduced and unjustified spatial range away from the transducer. This is not consistent with the fact that beta should be constant everywhere in the fluid and independently of the ultrasonic experimental setup. To overcome this, the nonlinear wave propagation equations are rigorously derived and the ensuing differential equation is numerically solved. As a second contribution, the experimental and model information sources are treated under the information theory context to probabilistically reconstruct beta, providing not only its value, but also the degree of confidence on it given both sources of data. This method is satisfactorily validated testing the repeatability of beta in water varying distances, energies, frequencies, and transducer setups, yielding values compatible with beta = 3.5.
机译：量化流体中的本构非线性参数β对于理解超声传播及其在医学和工业应用中的广泛意义至关重要。但是，当前的超声波测量方法显示出很大的局限性，因为该信号仅在远离换能器的缩小且不合理的空间范围内有效。这与以下事实不一致：β在流体中的任何位置均应恒定，并且与超声实验设置无关。为了克服这个问题，严格地推导了非线性波传播方程，并用数值方法求解了随后的微分方程。作为第二个贡献，实验和模型信息源在信息论背景下进行了处理，以概率方式重建了beta，不仅提供了它的价值，而且还提供了给定两种数据源时对它的置信度。该方法已通过令人满意的验证，可以测试β在不同距离，能量，频率和换能器设置中的重复性，得出与β= 3.5兼容的值。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第18期|162530.1-162530.11|共11页
  • 作者

    Rus Carlos; Rus Guillermo;

  • 作者单位

    Univ Granada, Dept Struct Mech, Nondestruct Evaluat Lab, E-18071 Granada, Spain.;

    Univ Granada, Dept Struct Mech, Nondestruct Evaluat Lab, E-18071 Granada, Spain.;

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