在未知音速的音源成像中,使用平面设置方法逐步采用声源成像
Guanghui Huang1, Jianliang Qian2, Yang Yang3
1Petroleum Geo-Services, Houston, TX 77079.
概括
这项研究从波方程数据重建了声源,而不需要知道声音的速度. 算法独特地确定源形状或振幅,在2D和3D数值实验中得到验证.
科学领域:
- 声学 声学 在声学方面
- 反向问题 逆向问题
- 计算数学 计算数学 计算数学
背景情况:
- 反向问题涉及从测量中确定未知的参数.
- 声源重建在各种领域至关重要,包括地质物理学和医学成像.
- 现有的方法通常需要了解波速或多次测量.
研究的目的:
- 从有限的数据中开发用于从有限的数据中逐个重建恒定的被动声源的方法.
- 为了应对在声学逆转中未知的声音速度的挑战.
- 在不同的先前假设下,以独特的方式确定源形状和振幅.
主要方法:
- 使用声波方程来进行源逆转.
- 在已知的振幅时开发一个水平设定算法用于形状重建.
- 在已知的奇点时,采用最小方位拟合算法进行幅度恢复.
- 将低频源逆转与重力测量逆转问题相结合.
主要成果:
- 在已知振幅的情况下,证明了源形状的独特确定性.
- 在已知的奇点时,证明了源幅的独特确定.
- 通过二维和三维的数值实验验证拟议的算法.
- 量化评估了重建算法的性能和准确性.
结论:
- 该研究成功地重建了无需事先了解声音速度的声源.
- 开发的算法为形状和幅度的确定提供了强大的解决方案.
- 这些发现对推进声源逆转技术和相关领域有影响.
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