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Source Inversion Based on Distributed Acoustic Sensing-Type Data.
- Source :
-
Mathematics (2227-7390) . Jun2024, Vol. 12 Issue 12, p1868. 24p. - Publication Year :
- 2024
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INTEGRAL operators
*INVERSE problems
*WAVE equation
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 12
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 178195297
- Full Text :
- https://doi.org/10.3390/math12121868