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We have seen many developments in Marchenko equation-based methods for internal multiple attenuation in the past years. Starting from a wave-equation based method that required a smooth velocity model, there are now Marchenko equation-based…

地球物理 · 物理学 2020-03-26 Myrna Staring , Lele Zhang , Jan Thorbecke , Kees Wapenaar

The Marchenko method retrieves the responses to virtual sources in the subsurface, accounting for all orders of multiples. The method is based on two integral representations for focusing and Green's functions. In discretized form these…

地球物理 · 物理学 2020-03-25 Johno van IJsseldijk , Kees Wapenaar

We consider reflection data that have been subsampled by 70% and use Point-Spread-Functions to reconstruct the original data. The subsampled, original and reconstructed reflection data are used to image the medium of interest with the…

地球物理 · 物理学 2020-03-25 Joeri Brackenhoff , Johno van IJsseldijk , Kees Wapenaar

The Marchenko method retrieves the responses to virtual sources in the Earth's subsurface from reflection data at the surface, accounting for all orders of multiple reflections. The method is based on two integral representations for…

地球物理 · 物理学 2020-11-25 Johno van IJsseldijk , Kees Wapenaar

Geophysical monitoring of subsurface reservoirs relies on detecting small changes in the seismic response between a baseline and monitor study. However, internal multiples, related to the over- and underburden, can obstruct the view of the…

地球物理 · 物理学 2023-07-21 Johno van IJsseldijk , Joost van der Neut , Jan Thorbecke , Kees Wapenaar

We implement the 3D Marchenko equations to retrieve responses to virtual sources inside the subsurface. For this, we require reflection data at the surface of the Earth that contain no free-surface multiples and are densely sampled in…

The Marchenko algorithm can suppress the disturbing effects of internal multiples that are present in seismic reflection data. To achieve this, a set of coupled equations with four unknowns is solved. These coupled equations are separated…

We aim to monitor and characterize signals in the subsurface by combining these passive signals with recorded reflection data at the surface of the Earth. To achieve this, we propose a method to create virtual receivers from reflection data…

地球物理 · 物理学 2023-08-15 Joeri Brackenhoff , Jan Thorbecke , Kees Wapenaar

The Marchenko method is a powerful tool for reconstructing full-wavefield Green's functions using surface-recorded seismic data. These Green's functions can then be utilized to produce subsurface images that are not affected by artifacts…

地球物理 · 物理学 2025-09-23 Ning Wang , Tariq Alkhalifah

Since the introduction of the Marchenko method in geophysics, many variants have been developed. Using a compact unified notation, we review redatuming by multidimensional deconvolution and by double focusing, virtual seismology, double…

地球物理 · 物理学 2020-03-25 Kees Wapenaar , Myrna Staring , Joeri Brackenhoff , Lele Zhang , Jan Thorbecke , Evert Slob

High-throughput characterization often requires estimating parameters and model dimension from experimental data of limited quantity and quality. Such data may result in an ill-posed inverse problem, where multiple sets of parameters and…

量子物理 · 物理学 2026-04-08 Abigail N. Poteshman , Jiwon Yun , Tim H. Taminiau , Giulia Galli

Learning the distance metric between pairs of samples has been studied for image retrieval and clustering. With the remarkable success of pair-based metric learning losses, recent works have proposed the use of generated synthetic points on…

计算机视觉与模式识别 · 计算机科学 2020-04-24 Byungsoo Ko , Geonmo Gu

Recent years have seen the rise of convolutional neural network techniques in exemplar-based image synthesis. These methods often rely on the minimization of some variational formulation on the image space for which the minimizers are…

The recently introduced non-iterative imaging method entitled \enquote{direct sampling method} (DSM) is known to be fast, robust, and effective for inverse scattering problems in the multi-static configuration but fails when applied to the…

数值分析 · 数学 2019-04-30 Sangwoo Kang , Marc Lambert , Won-Kwang Park

The data-driven Marchenko method is able to redatum wavefields to arbitrary locations in the subsurface, and can, therefore, be used to isolate zones of specific interest. This creates a new reflection response of the target zone without…

地球物理 · 物理学 2023-12-27 Johno van IJsseldijk , Joeri Brackenhoff , Jan Thorbecke , Kees Wapenaar

We are concerned with a novel Bayesian statistical framework for the characterization of natural subsurface formations, a very challenging task. Because of the large dimension of the stochastic space of the prior distribution in the…

数值分析 · 数学 2023-02-23 Alsadig Ali , Abdullah Al-Mamun , Felipe Pereira , Arunasalam Rahunanthan

We propose a new computationally efficient sampling scheme for Bayesian inference involving high dimensional probability distributions. Our method maps the original parameter space into a low-dimensional latent space, explores the latent…

统计计算 · 统计学 2019-10-15 Babak Shahbaba , Luis Martinez Lomeli , Tian Chen , Shiwei Lan

In many geoscientific applications, multiple noisy observations of different origin need to be combined to improve the reconstruction of a common underlying quantity. This naturally leads to multi-parameter models for which adequate…

数值分析 · 数学 2015-07-09 C. Gerhards , S. Pereverzyev , P. Tkachenko

Geophysicists have widely used Least-squares reverse-time migration (LSRTM) to obtain high-resolution images of the subsurface. However, LSRTM needs an accurate velocity model similar to other migration methods. Otherwise, it suffers from…

地球物理 · 物理学 2023-03-03 Aydin Shoja , Joost van der Neut , Kees Wapenaar

We consider the theoretical analysis of Multiscale Sampling Methods, which are a new class of gradient-free Markov chain Monte Carlo (MCMC) methods for high dimensional inverse differential equation problems. A detailed presentation of…

统计方法学 · 统计学 2025-03-06 Lucas Seiffert , Felipe Pereira
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