Total variation regularization for seismic waveform inversion using an adaptive primal dual hybrid gradient method

P Yong, W Liao, J Huang, Z Li - Inverse Problems, 2018 - iopscience.iop.org
Full waveform inversion is an effective tool for recovering the properties of the Earth from
seismograms. However, it suffers from local minima caused mainly by the limited accuracy of …

[PDF][PDF] Towards a theoretical background for strong-scattering inversion-Direct envelope inversion and Gel'fand-Levitan-Marchenko theory

RS Wu - Comput. Phys, 2020 - doc.global-sci.org
Strong-scattering inversion or the inverse problem for strong scattering has different physical-
mathematical foundations from the weak-scattering case. Seismic inversion based on wave …

Accurate and efficient velocity estimation using transmission matrix formalism based on the domain decomposition method

B Wang, M Jakobsen, RS Wu, W Lu, X Chen - Inverse problems, 2017 - iopscience.iop.org
Full waveform inversion (FWI) has been regarded as an effective tool to build the velocity
model for the following pre-stack depth migration. Traditional inversion methods are built on …

Renormalized nonlinear sensitivity kernel and inverse thin-slab propagator in T-matrix formalism for wave-equation tomography

RS Wu, B Wang, C Hu - Inverse Problems, 2015 - iopscience.iop.org
We derived the renormalized nonlinear sensitivity operator and the related inverse thin-slab
propagator (ITSP) for nonlinear tomographic waveform inversion based on the theory of …

Inverse scattering theory: Inverse scattering series method for one dimensional non-compact support potential

J Yao, AC Lesage, BG Bodmann, F Hussain… - Journal of Mathematical …, 2014 - pubs.aip.org
The reversion of the Born-Neumann series of the Lippmann-Schwinger equation is one of
the standard ways to solve the inverse acoustic scattering problem. One limitation of the …

[HTML][HTML] 基于T-matrix 的非线性参数估计方法

王本锋, 吴如山, 陈小宏, 陆文凯 - 地球物理学报, 2016 - html.rhhz.net
全波形反演可提供高精度的地下介质参数空间分布, 但传统的全波形反演方法建立在Born
近似的基础上, 对初始模型具有一定的依赖性. 为了摆脱Born 近似的束缚, 本文基于二维常密度 …

Convergence acceleration in scattering series and seismic waveform inversion using nonlinear Shanks transformation

R Eftekhar, H Hu, Y Zheng - Geophysical Journal International, 2018 - academic.oup.com
Iterative solution process is fundamental in seismic inversions, such as in full-waveform
inversions and some inverse scattering methods. However, the convergence could be slow …

A numerical method for inverse Helmholtz problem based on approximate inverse of a matrix

M Tadi - Computers & Mathematics with Applications, 2023 - Elsevier
This note is concerned with a computational method for an inverse problem for Helmholtz
equation. It seeks to recover a subsurface material property based on data collected at the …

Inverse scattering for the one-dimensional Helmholtz equation with piecewise constant wave speed

S Bugarija, PC Gibson, G Hu, P Li, Y Zhao - Inverse Problems, 2020 - iopscience.iop.org
This paper analyzes inverse scattering for the one-dimensional Helmholtz equation in the
case where the wave speed is piecewise constant. Scattering data recorded for an arbitrarily …

Non-linear parameter estimation method based on T-matrix

BF WANG, RS WU, XH CHEN, WK LU - Chinese Journal of Geophysics, 2016 - en.dzkx.org
With the development of seismic exploration and exploitation, it is necessary to study the
accurate parameter distribution finely describing the subsurface. Full Waveform Inversion …