Source Inversion Based on Distributed Acoustic Sensing-Type Data

被引：0
作者：
Shen, Litao [1 ]
Wang, Tian-Yi [1 ]
Zhang, Haoran [2 ]
机构：
[1] Wuhan Univ Technol, Sch Sci, Wuhan 430070, Peoples R China
[2] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Peoples R China
来源：
MATHEMATICS | 2024年 / 12卷 / 12期
关键词：
inverse problem; source term; DAS-type data;
D O I：
10.3390/math12121868
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this study, we investigate the inverse problem of the two-dimensional wave equation source term, which arises from the Distributed Acoustic Sensing (DAS) data on the boundary. We construct a new integral operator that maps the interior sources to the DAS-type data at the boundary. Due to the noninjectivity and instability of the integral operator, which violates the well posedness of the inverse problem, a minimization problem on a compact convex subset is formulated, and the existence and uniqueness of the minimizer are obtained. Numerical examples for different cases are illustrated.
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页数：24
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