Bubble Nuclei Measurement via an Inverse Acoustic ScatteringTechnique

水中气泡的大小和数量反映在对空化的敏感性和声学性质上。声学探测是获取气泡总数信息的一种简单而稳健的实验方法；然而，测量数据的转换需要解决一个复杂的不适定反问题。这个项目将把气泡的多相特性纳入到用于解决这类问题的模型中。将对多相流和气泡动力学进行建模，以获得确定气泡数量的适当方程；由此产生的不适定问题将通过正则化来解决。这一坚实的理论框架可以用来设计精确测定气泡数量的仪器。

The sizes and numbers of gas bubbles in water are reflected in the susceptibility to cavitation and in the acoustical properties. Acoustic probing is a simple and robust experimental method for obtaining information about the population of bubbles; however, the conversion of the measured data requires solution of a complex ill-posed inverse problem. This project will incorporate the multi-phase character of the bubbles into the model used for solving problems of this kind. Multi-phase flow and bubble dynamics will be modelled to obtain proper equations for determination of the bubble population; and the resulting ill-posed problems will be solved by regularization. This solid theoretical framework can be used to design instruments for accurate determination of the bubble population.