Application of the Biot model to ultrasound in bone: Inverse problem
Application of the Biot model to ultrasound in bone: Inverse problem
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Biot 模型在骨超声中的应用：反问题
DOI：
10.1109/tuffc.2008.827
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
Walter Lauriks
中科院分区：
文献类型：
--
作者：
Z. Fellah;N. Sebaa;M. Fellah;E. Ogam;Farid G. Mitri;C. Depollier;Walter Lauriks
本文通过使用实验测量信号解决反问题来研究人体松质骨样品的超声表征。反问题通过最小二乘法进行数值求解。五个参数被反转：骨架的孔隙率、弯曲度、粘性特征长度、杨氏模量和泊松比。实验与理论之间的差异是在时域中最小化的。使用经 Johnson-Koplik-Dashen 模型修改的 Biot 理论对松质骨中的超声传播进行建模，以实现流体与结构之间的粘性交换。研究了骨骼的杨氏模量和泊松比的灵敏度，显示了它们对快波形和慢波形的影响。反问题被证明是适定的，并且其解是唯一的。给出了通过人体松质骨样本传输的慢波和快波的实验结果，并与理论预测进行了比较。
This paper concerns the ultrasonic characterization of human cancellous bone samples by solving the inverse problem using experimentally measured signals. The inverse problem is solved numerically by the least squares method. Five parameters are inverted: porosity, tortuosity, viscous characteristic length, Young modulus, and Poisson ratio of the skeletal frame. The minimization of the discrepancy between experiment and theory is made in the time domain. The ultrasonic propagation in cancellous bone is modelled using the Biot theory modified by the Johnson-Koplik-Dashen model for viscous exchange between fluid and structure. The sensitivity of the Young modulus and the Poisson ratio of the skeletal frame is studied showing their effect on the fast and slow waveforms. The inverse problem is shown to be well posed, and its solution to be unique. Experimental results for slow and fast waves transmitted through human cancellous bone samples are given and compared with theoretical predictions.