【摘要】：聲傳播模型是水聲學(xué)研究的重要領(lǐng)域,精確的聲傳播模型對(duì)于水聲信號(hào)處理有重要意義。海底地形及海洋環(huán)境參數(shù)是三維變化的,而常用的聲場計(jì)算方法多只考慮1D(只考慮深度維度)或2D(深度維、距離維)的參數(shù)變化,涉及到3D問題時(shí),通常用多個(gè)2D平面去擬合一個(gè)3D模型,該方法并不考慮水平折射問題,即各傳播平面之間聲場的耦合問題,從而忽視了 3D效應(yīng)。實(shí)際應(yīng)用中,3D效應(yīng)在水平環(huán)境參數(shù)變化的遠(yuǎn)距離傳播聲場中尤為明顯,不能忽略�；趻佄锓匠痰穆晥鼋７椒▽�(duì)聲傳播方程運(yùn)用單向傳播和遠(yuǎn)場近似,環(huán)境參數(shù)耦合在步進(jìn)求解中,適用于2D及3D參數(shù)依賴傳播模型建模,其中赫姆霍茲根式算子中同時(shí)考慮距離和角度維則為3D模型。而現(xiàn)有考慮3D情況的模型中,近似算子精度和模型計(jì)算效率都有待進(jìn)一步提升。本文開展了基于拋物方程的三維聲傳播模型的建模研究,主要工作如下:(1)提出了一種赫姆霍茲根式的高階近似方法,即含偏導(dǎo)算子和相速異常交叉項(xiàng)的根式三階泰勒展開,并對(duì)這一近似算子的性能進(jìn)行了理論分析。(2)對(duì)上述近似方法對(duì)應(yīng)的拋物方程模型進(jìn)行參數(shù)離散化,以及聲場初始化,并運(yùn)用分步傅里葉方法,通過遞歸迭代求解實(shí)現(xiàn)了模型計(jì)算。(3)分別在Pekeris波導(dǎo),錐形海山,以及典型的3D聲傳播問題斜坡情況下,用不同的數(shù)值計(jì)算方法驗(yàn)證了論文模型的有效性。同時(shí)利用Pekeris波導(dǎo)環(huán)境,說明了提出的方法相比現(xiàn)有的二階泰勒展開方法的計(jì)算結(jié)果更為準(zhǔn)確。
[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.
【學(xué)位授予單位】：浙江大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：P733.2;TB56

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