Equation for wave processes in inhomogeneous moving media and functional solution of the acoustic tomography problem based on it

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• 作者：O. D. Rumyantseva ; A. S. Shurup
• 关键词：inhomogeneous moving medium ; inhomogeneity of the sound velocity ; inhomogeneity of absorption ; inhomogeneity of density ; vector field of flows ; wave equation and Helmholtz equation
• 刊名：Acoustical Physics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：63
• 期：1
• 页码：95-103
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Acoustics;
• 出版者：Pleiades Publishing
• ISSN：1562-6865
• 卷排序：63

文摘

The paper considers the derivation of the wave equation and Helmholtz equation for solving the tomographic problem of reconstruction combined scalar-vector inhomogeneities describing perturbations of the sound velocity and absorption, the vector field of flows, and perturbations of the density of the medium. Restrictive conditions under which the obtained equations are meaningful are analyzed. Results of numerical simulation of the two-dimensional functional-analytical Novikov–Agaltsov algorithm for reconstructing the flow velocity using the the obtained Helmholtz equation are presented.