随机起伏冰面三维声散射的Kirchhoff近似数值计算模型  

A Kirchhoff-approximation numerical model for three-dimensional acoustic scattering from rough under-ice surfaces

作　　者：陈文剑 厉夫兵[4] 殷敬伟[1,2,3] 周顺博 孙辉[1,2,3] 郎鹏远 CHEN Wenjian;LI Fubing;YIN Jingwei;ZHOU Shunbo;SUN Hui;LANG Pengyuan(Acoustic Science and Technology Laboratory,Harbin Engineering University,Harbin 150001;Key Laboratory of Marine Information Acquisition and Security(Harbin Engineering University),Ministry of Industry and Information Technology,Harbin 150001;College of Underwater Acoustic Engineering,Harbin Engineering University,Harbin 150001;School of Information and Communication Engineering,Beijing Information Science and Technology University,Beijing 100101)

机构地区：[1]哈尔滨工程大学水声技术重点实验室,哈尔滨150001 [2]海洋信息获取与安全工信部重点实验室(哈尔滨工程大学),哈尔滨150001 [3]哈尔滨工程大学水声工程学院,哈尔滨150001 [4]北京信息科技大学信息与通信工程学院,北京100101

出　　处：《声学学报》2021年第1期1-10,共10页Acta Acustica

基　　金：国家重点研发计划项目(2018YFC1405900);国家自然科学基金项目(12074089,61631008);北京信息科技大学“勤信人才”培育计划项目(QXTCP C201905)资助。

摘　　要：针对随机起伏冰面的声散射问题,建立了随机起伏冰面三维声散射的Kirchhoff近似数值计算模型。利用Delaunay三角剖分方法对随机起伏冰面进行三角面元剖分,然后采用Z-buffer算法进行面元的遮挡消隐,得到处于声波照射亮区的面元,最后采用Gordon面元积分的板块元方法计算得到随机起伏冰面的散射强度。数值计算模型中,将冰面认为是局部阻抗表面,直接代入起伏冰面局部反射系数进行散射声场的计算,避免了解析计算模型中对反射系数的近似处理。对比分析了数值和解析计算模型在小粗糙起伏冰面、大粗糙起伏冰面及不同声波入射角和不同声波频率时的散射强度。相比解析模型计算结果,数值模型计算结果与实测结果更吻合。A Kirchhoff-approximation numerical method of three-dimensional acoustic scattering from a rough underice surface is presented.Delaunay triangulation is used to triangulate a Gaussian rough under-ice surface,the Z-buffer algorithm is used to remove the surface elements in the shadowed areas and obtain those in the bright areas,and the scattering intensity is calculated by the planar element method of Gordon’s integration.In the numerical calculation model,the ice surface is regarded as one of local impedance,thereby incorporating it directly into the local reflection coefficient of the rough under-ice surface to calculate the scattering sound field and avoiding the approximation of the reflection coefficient in the analytical calculation model.The scattering intensities of the numerical and analytical models are compared for under-ice surfaces with large and small roughness and for different incident angles and frequencies.Of the two types of results,those of the numerical calculation model are more consistent with measurements.

关 键 词：DELAUNAY三角剖分 Kirchhoff近似 散射强度 声散射 消隐 面元 声波频率 反射系数 

分 类 号：TB56[交通运输工程—水声工程]