Determination of a wave field in a laterally inhomogeneous medium from boundary data

2019/10/31 by M. N. Demchenko, Demchenko, M. N.
Computer Science · Earth and Planetary Sciences · Mathematics · #35L05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Seismic Imaging and Inversion Techniques

paper · pdf · doi:10.48550/arxiv.1910.14514

openalex publication_date 2019/10/31 · openalex created_date 2019/11/08 · openalex updated_date 2026/07/28

Abstract

We deal with the Cauchy problem for a perturbed wave equation in the half-plane with data given on a part of the space-time boundary. The equation in consideration describes a wave process in a laterally inhomogeneous medium. We propose a reconstruction algorithm, which is applicable to the problem of determining nonstationary wave field from boundary data arising in geophysics.

Related

• On the Cauchy problem for the wave equation with data on the boundary
• Dynamic inverse problem in a weakly laterally inhomogeneous medium
• The reconstruction of a wave equation from one side measurement
• Recovery of a Smooth Metric via Wave Field and Coordinate Transformation Reconstruction
• Regularization of an Ill-posed Cauchy Problem for the Wave Equation (Fourier Method)