This paper focuses on the modeling of the effect of different porosity on the overall elastic properties of saturated cortical bone and ultrasound wave propagation in such bone. We first utilize micromechanical model of Zhou, Cui and Sevostianov (2020) to model anisotropic effective elastic stiffness of saturated cortical bone and evaluate the effect of partial porosities. It is shown that the moduli $C_{33}^{sat}$and $C_{44}^{sat}$of saturated bone are more sensitive to canalicular porosity, while the moduli $C_{11}^{sat}$and $C_{66}^{sat}$of saturated bone are more sensitive to Haversian porosity. This model has been validated by experimental data. We compare the extents of anisotropy of the saturated bones for different levels of partial porosity. Last but not the least, we apply this micromechanical model to the elastic field of saturated cortical bone to evaluate the effect of partial porosity on the velocity of different bulk waves and guided waves. Results show that the velocity of the fast longitudinal wave and the slower SH wave along the horizontal direction are more sensitive to Haversian porosity ${\varphi }_{Hav}$, but the velocity of the fast longitudinal wave and SH wave along the vertical direction and the velocity of the SV wave along the horizontal direction are more sensitive to the canalicular porosity ${\varphi }_{Can}$. Further, it is found that, the plateau region of the axisymmetric longitudinal guided waves mode L(0, 1) and L(0, 2) phase velocity are more sensitive to canalicular porosity ${\varphi }_{Can}$, and the phase velocity of the lowest nonaxisymmetric flexural mode F(1, 1) in low frequencie is more sensitive to Haversian porosity ${\varphi }_{Hav}$.

本文着重于模拟不同孔隙率对饱和皮质骨的整体弹性特性和超声波在此类骨中传播的影响。我们首先利用 Zhou、Cui 和 Sevostianov (2020) 的微机械模型来模拟饱和皮质骨的各向异性有效弹性刚度并评估部分孔隙率的影响。表明模量$C_{33}^{s\mathrm{一个}吨}$和$C_{44}^{s\mathrm{一个}吨}$饱和骨对小管孔隙率更敏感，而模量$C_{11}^{s\mathrm{一个}吨}$和$C_{66}^{s\mathrm{一个}吨}$饱和骨对哈弗斯孔隙率更敏感。该模型已通过实验数据得到验证。我们比较了不同水平的部分孔隙率下饱和骨骼的各向异性程度。最后但并非最不重要的一点是，我们将此微机械模型应用于饱和皮质骨的弹性场，以评估部分孔隙率对不同体波和导波速度的影响。结果表明，沿水平方向的快纵波和慢速SH波的速度对哈弗斯孔隙度更为敏感${\phi }_{H\mathrm{一个}v}$, 但快纵波和 SH 波沿垂直方向的速度和 SV 沿水平方向的速度对小管孔隙度更敏感${\phi }_{C\mathrm{一个}n}$. 进一步发现，轴对称纵向导波模式L (0, 1) 和L (0, 2) 相速度的平台区域对小管孔隙度更敏感${\phi }_{C\mathrm{一个}n}$, 低频下最低非轴对称弯曲模F (1, 1) 的相速度对哈弗孔隙度更敏感${\phi }_{H\mathrm{一个}v}$.