Fighting the curse of dimensionality: Compressive sensing in exploration seismology

FJ Herrmann, MP Friedlander… - IEEE Signal Processing …, 2012‏ - ieeexplore.ieee.org
Many seismic exploration techniques rely on the collection of massive data volumes that are
mined for information during processing. This approach has been extremely successful, but …

Efficient least‐squares imaging with sparsity promotion and compressive sensing

FJ Herrmann, X Li - Geophysical prospecting, 2012‏ - earthdoc.org
Seismic imaging is a linearized inversion problem relying on the minimization of a least‐
squares misfit functional as a function of the medium perturbation. The success of this …

A review on restoration of seismic wavefields based on regularization and compressive sensing

J Cao, Y Wang, J Zhao, C Yang - Inverse Problems in Science and …, 2011‏ - Taylor & Francis
Restoration of seismic data as an ill-posed inverse problem means to recover the complete
wavefields from sub-sampled data. Since seismic data are typically sparse in the curvelet …

Fast randomized full-waveform inversion with compressive sensing

X Li, AY Aravkin, T van Leeuwen, FJ Herrmann - Geophysics, 2012‏ - library.seg.org
Wave-equation-based seismic inversion can be formulated as a nonlinear least-squares
problem. The demand for higher-resolution models in more geologically complex areas …

Solving multiphysics-based inverse problems with learned surrogates and constraints

Z Yin, R Orozco, M Louboutin, FJ Herrmann - Advanced Modeling and …, 2023‏ - Springer
Solving multiphysics-based inverse problems for geological carbon storage monitoring can
be challenging when multimodal time-lapse data are expensive to collect and costly to …

Source separation for simultaneous towed-streamer marine acquisition—A compressed sensing approach

R Kumar, H Wason, FJ Herrmann - Geophysics, 2015‏ - library.seg.org
Simultaneous marine acquisition is an economic way to sample seismic data and speed up
acquisition, wherein single or multiple source vessels fire sources at near-simultaneous or …

Multichannel band-controlled deconvolution based on a data-driven structural regularization

X Du, G Li, M Zhang, H Li, W Yang, W Wang - Geophysics, 2018‏ - library.seg.org
Sparse deconvolution methods frequently invert for subsurface reflection impulses and
adopt a trace-by-trace processing pattern. However, following this approach causes …

Robust estimation of primaries by sparse inversion via one-norm minimization

TTY Lin, FJ Herrmann - Geophysics, 2013‏ - library.seg.org
ABSTRACT A recently proposed method called estimation of primaries by sparse inversion
(EPSI) avoids the need for adaptive subtraction of approximate multiple predictions by …

Least-squares RTM with L1 norm regularisation

D Wu, G Yao, J Cao, Y Wang - Journal of Geophysics and …, 2016‏ - academic.oup.com
Reverse time migration (RTM), for imaging complex Earth models, is a reversal procedure of
the forward modelling of seismic wavefields, and hence can be formulated as an inverse …

High-resolution prestack seismic inversion using a hybrid FISTA least-squares strategy

DO Pérez, DR Velis, MD Sacchi - Geophysics, 2013‏ - library.seg.org
ABSTRACT A new inversion method to estimate high-resolution amplitude-versus-angle
attributes (AVA) attributes such as intercept and gradient from prestack data is presented …