Concepts in the Direct Waveform Inversion (DWI) Using Explicit Time-Space Causality

DOI10.4208/CICP.OA-2018-0263zbMath1473.34045MaRDI QIDQ5162288

Yingcai Zheng, Zhonghan Liu

Publication date: 2 November 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

zbMATH Keywords

causalityfull waveform inversionwaveform inversion2D inversion1D inversiondirect waveform inversionDWI

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Inverse problems for functional-differential equations (34K29)

Cites Work

• The Gelfand-Levitan, the Marchenko, and the Gopinath-Sondhi integral equations of inverse scattering theory, regarded in the context of inverse impulse-response problems
• One dimensional acoustic direct nonlinear inversion using the Volterra inverse scattering series
• Inverse scattering theory: Inverse scattering series method for one dimensional non-compact support potential
• Linearized inversion: a significant step beyond pre-stack migration
• Renormalized nonlinear sensitivity kernel and inverse thin-slab propagator in T -matrix formalism for wave-equation tomography
• Inverse Problem Theory and Methods for Model Parameter Estimation
• Single-sided  autofocusing of sound in layered materials
• Continuous and Discrete Inverse-Scattering Problems in a Stratified Elastic Medium. I. Plane Waves at Normal Incidence

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