Communications in Mathematical Sciences

Volume 20 (2022)

Number 6

Convergence analysis on seismic tomography for inverse problems of acoustic wave propagation

Pages: 1551 – 1565

DOI: https://dx.doi.org/10.4310/CMS.2022.v20.n6.a4

Authors

Haoyu Wang (Department of Mathematical Sciences, Tsinghua University, Beijing, China)

Lihui Chai (School of Mathematics, Sun Yat-sen University, Guangzhou, China)

Zhongyi Huang (Department of Mathematical Sciences, Tsinghua University, Beijing, China)

Xu Yang (Department of Mathematics, University of California, Santa Barbara, Calif., U.S.A.)

Abstract

In this paper, we provide a rigorous convergence analysis for the inverse problems of acoustic wave propagation arising from seismic tomography. Specifically, we obtain the error estimates for three cases: 1. Standard seismic tomography; 2. Seismic tomography with approximation to sensitivity kernel; 3. Seismic tomography with Tikhonov regularization.

Keywords

seismic tomography, acoustic wave equation, convergence analysis

2010 Mathematics Subject Classification

65K99, 65M32, 86A15, 86A22

The full text of this article is unavailable through your IP address: 3.140.198.3

Received 10 April 2021

Received revised 16 November 2021

Accepted 16 January 2022

Published 14 September 2022