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.

引用

页数：24

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