Ultrasonic wave propagation in human cancellous bone: Application of Biot theory

Ultrasonic wave propagation in human cancellous bone: Application of Biot theory
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DOI:
10.1121/1.1755239
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发表时间:
2004-07-01
影响因子:
2.4
通讯作者:
Depollier, C
Depollier, C
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Fellah, ZEA;Chapelon, JY;Depollier, C

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研究了超声波在人体松质骨中的传播。利用约翰逊等人[J. Fluid Mech.176,379-402(1987)]关于流体和结构之间粘性交换的模型修改的毕奥理论,导出具有弹性框架的松质骨板的反射和透射系数。通过改变修正后的毕奥参数,对透射波进行了时域数值模拟。该变化应用于调节参数,并且约为20%。通过这项研究,我们可以深入了解该理论中使用的每个物理参数的敏感性。一些参数对慢波波形起重要作用,如粘性特征长度λ和孔隙流体体积模量K-f。然而,其他参数在快波波形中起重要作用,例如固体密度ρ(s)和剪切模量N。我们还从这些模拟中注意到,与其他参数相比,孔隙率φ、曲折度α(无穷大)、厚度、固体体积模量K-s和骨架压缩性框架K-b等参数在快波和慢波形式中同时发挥着重要作用。作用于两个波之一的波形。修正的毕奥参数相对于透射波的灵敏度强烈地依赖于松质骨的固相和液相之间的耦合。慢波和快波通过人体松质骨样品传输的实验结果,并与理论预测进行比较。(C)2004年,美国声学学会。
Ultrasonic wave propagation in human cancellous bone is considered. Reflection and transmission coefficients are derived for a slab of cancellous bone having an elastic frame using Biot's theory modified by the model of Johnson et al. [J. Fluid Mech. 176, 379-402 (1987)] for viscous exchange between fluid and structure. Numerical simulations of transmitted waves in the time domain are worked out by varying the modified Biot parameters. The variation is applied to the governing parameters and is about 20%. From this study, we can gain an insight into the sensitivity of each physical parameter used in this theory. Some parameters play an important role in slow-wave wave form, such as the viscous characteristic length Lambda and pore fluid bulk modulus K-f. However, other parameters play an important role in the fast-wave wave form, such as solid density rho(s) and shear modulus N. We also note from these simulations that some parameters such as porosity phi, tortuosity alpha(infinity), thickness, solid bulk modulus K-s and skeletal compressibility frame K-b, play an important role simultaneously in both fast and slow wave forms compared to other parameters which act on the wave form of just one of the two waves. The sensitivity of the modified Biot parameters with respect to the transmitted wave depends strongly on the coupling between the solid and fluid phases of the cancellous bone. Experimental results for slow and fast waves transmitted through human cancellous bone samples are given and compared with theoretical predictions. (C) 2004 Acoustical Society of America.