基于抛物方程的三维声传播模型建模研究
发布时间：2019-02-16 22:35
【摘要】：声传播模型是水声学研究的重要领域,精确的声传播模型对于水声信号处理有重要意义。海底地形及海洋环境参数是三维变化的,而常用的声场计算方法多只考虑1D(只考虑深度维度)或2D(深度维、距离维)的参数变化,涉及到3D问题时,通常用多个2D平面去拟合一个3D模型,该方法并不考虑水平折射问题,即各传播平面之间声场的耦合问题,从而忽视了 3D效应。实际应用中,3D效应在水平环境参数变化的远距离传播声场中尤为明显,不能忽略。基于抛物方程的声场建模方法对声传播方程运用单向传播和远场近似,环境参数耦合在步进求解中,适用于2D及3D参数依赖传播模型建模,其中赫姆霍兹根式算子中同时考虑距离和角度维则为3D模型。而现有考虑3D情况的模型中,近似算子精度和模型计算效率都有待进一步提升。本文开展了基于抛物方程的三维声传播模型的建模研究,主要工作如下:(1)提出了一种赫姆霍兹根式的高阶近似方法,即含偏导算子和相速异常交叉项的根式三阶泰勒展开,并对这一近似算子的性能进行了理论分析。(2)对上述近似方法对应的抛物方程模型进行参数离散化,以及声场初始化,并运用分步傅里叶方法,通过递归迭代求解实现了模型计算。(3)分别在Pekeris波导,锥形海山,以及典型的3D声传播问题斜坡情况下,用不同的数值计算方法验证了论文模型的有效性。同时利用Pekeris波导环境,说明了提出的方法相比现有的二阶泰勒展开方法的计算结果更为准确。
[Abstract]:Acoustic propagation model is an important field of underwater acoustic research, and accurate acoustic propagation model is of great significance for underwater acoustic signal processing. The sea floor topography and marine environmental parameters are changed in three dimensions. However, the commonly used acoustic field calculation methods only consider the variation of the parameters of 1D (depth dimension) or 2D (depth dimension, distance dimension), so when the 3D problem is involved, Usually, a 3D model is fitted with multiple 2D planes. This method does not consider the horizontal refraction problem, that is, the coupling problem of sound field between the propagating planes, thus neglecting the 3D effect. In practical application, 3D effect is especially obvious in the long distance sound field with the change of horizontal environmental parameters, and can not be ignored. The sound field modeling method based on parabolic equation applies one-way propagation and far-field approximation to the acoustic propagation equation. The environmental parameters are coupled in the stepwise solution, which is suitable for 2D and 3D parameter-dependent propagation models. In the Hem Holtzian operator, the dimension of distance and angle is considered as 3D model. However, the accuracy of approximate operators and the computational efficiency of the model need to be further improved in the existing 3D models. In this paper, the modeling of 3D acoustic propagation model based on parabolic equation is studied. The main work is as follows: (1) A Hem Holtzgen approximation method is proposed. That is, the root third-order Taylor expansion with partial derivative operator and phase velocity anomaly crossover term, and the performance of the approximation operator is theoretically analyzed. (2) the parabolic equation model corresponding to the above approximate method is discretized. The acoustic field is initialized, and the recursive iterative solution is used to realize the model calculation. (3) in the case of Pekeris waveguide, conical seamounts, and the typical 3D acoustic propagation problem, the slope is obtained. The validity of the model is verified by different numerical methods. At the same time, using the Pekeris waveguide environment, it is shown that the proposed method is more accurate than the existing second-order Taylor expansion method.
【学位授予单位】：浙江大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：P733.2;TB56
本文编号：2424910
[Abstract]:Acoustic propagation model is an important field of underwater acoustic research, and accurate acoustic propagation model is of great significance for underwater acoustic signal processing. The sea floor topography and marine environmental parameters are changed in three dimensions. However, the commonly used acoustic field calculation methods only consider the variation of the parameters of 1D (depth dimension) or 2D (depth dimension, distance dimension), so when the 3D problem is involved, Usually, a 3D model is fitted with multiple 2D planes. This method does not consider the horizontal refraction problem, that is, the coupling problem of sound field between the propagating planes, thus neglecting the 3D effect. In practical application, 3D effect is especially obvious in the long distance sound field with the change of horizontal environmental parameters, and can not be ignored. The sound field modeling method based on parabolic equation applies one-way propagation and far-field approximation to the acoustic propagation equation. The environmental parameters are coupled in the stepwise solution, which is suitable for 2D and 3D parameter-dependent propagation models. In the Hem Holtzian operator, the dimension of distance and angle is considered as 3D model. However, the accuracy of approximate operators and the computational efficiency of the model need to be further improved in the existing 3D models. In this paper, the modeling of 3D acoustic propagation model based on parabolic equation is studied. The main work is as follows: (1) A Hem Holtzgen approximation method is proposed. That is, the root third-order Taylor expansion with partial derivative operator and phase velocity anomaly crossover term, and the performance of the approximation operator is theoretically analyzed. (2) the parabolic equation model corresponding to the above approximate method is discretized. The acoustic field is initialized, and the recursive iterative solution is used to realize the model calculation. (3) in the case of Pekeris waveguide, conical seamounts, and the typical 3D acoustic propagation problem, the slope is obtained. The validity of the model is verified by different numerical methods. At the same time, using the Pekeris waveguide environment, it is shown that the proposed method is more accurate than the existing second-order Taylor expansion method.
【学位授予单位】：浙江大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：P733.2;TB56
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