Chen Jiusheng, Zhu Zhemin
Institute of Acoustics and State Key Lab of Modern Acoustics, Nanjing University, Nanjing 210093, PR China.
Ultrasonics. 2006 Dec 22;44 Suppl 1:e115-8. doi: 10.1016/j.ultras.2006.06.004. Epub 2006 Jun 28.
In this paper, the multiple scattering of interacting encapsulated microbubbles in suspensions is calculated using two novel approaches--Kargl's effective medium approach and Ye and Ding's approach of 2nd-order correction. Two types of contrast agents with bubbles of different sizes and concentrations are chosen for our numerical simulations. One is Albunex, which is depicted by Church and has a size range of several microns, and the other is sodium laureate solution (before fractionation) described by Soetanto and Chan and has an average size of 35.5 microm. The numerical results from these two approaches are compared with that from the linear approximation. It is found that the multiple scattering effects on attenuation and dispersion of sound in suspensions are evident in the cases of high bubble volume fractions, basically greater than the order of 1 x 10(-4), and much more obvious for larger bubbles with average size of tens of microns.
在本文中，使用两种新方法——卡尔格的有效介质方法和叶与丁的二阶校正方法，计算了悬浮液中相互作用的包封微泡的多重散射。选择了两种具有不同尺寸和浓度气泡的造影剂进行数值模拟。一种是阿尔布纳克斯，由丘奇描述，尺寸范围为几微米，另一种是由苏坦托和陈描述的月桂酸钠溶液（分级前），平均尺寸为35.5微米。将这两种方法的数值结果与线性近似的结果进行了比较。结果发现，在高气泡体积分数的情况下，即基本上大于1×10(-4)的量级时，多重散射对悬浮液中声音衰减和色散的影响很明显，对于平均尺寸为几十微米的较大气泡，这种影响更为明显。
