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Marchenko algorithms retrieve the wavefields excited by virtual sources in the subsurface, these are the Green's functions consisting of the primary and multiple reflected waves. The requirements for these algorithms are the same as for…

地球物理 · 物理学 2026-01-27 Mert Sinan Recep Kiraz , Roel Snieder , Kees Wapenaar

Given the increasing interest for non-reciprocal materials, we propose a novel acoustic imaging method for layered non-reciprocal media. The method we propose is a modification of the Marchenko imaging method, which handles multiple…

应用物理 · 物理学 2020-06-11 Kees Wapenaar , Christian Reinicke

Acoustic imaging methods often ignore multiple scattering. This leads to false images in cases where multiple scattering is strong.Marchenko imaging has recently been introduced as a data-driven way to deal with internal multiple…

应用物理 · 物理学 2020-06-09 Kees Wapenaar , Christian Reinicke

Marchenko methods are based on integral representations which express Green's functions for virtual sources and/or receivers in the subsurface in terms of the reflection response at the surface. An underlying assumption is that inside the…

地球物理 · 物理学 2021-06-22 Kees Wapenaar , Roel Snieder , Sjoerd de Ridder , Evert Slob

With the Marchenko method, Green's functions in the subsurface can be retrieved from seismic reflection data at the surface. State-of-the-art Marchenko methods work well for propagating waves but break down for evanescent waves. This paper…

地球物理 · 物理学 2020-09-22 Kees Wapenaar

Classical acoustic wave-field representations consist of volume and boundary integrals, of which the integrands contain specific combinations of Green's functions, source distributions and wave fields. Using a unified matrix-vector wave…

应用物理 · 物理学 2023-07-14 Kees Wapenaar

To enhance monitoring of the subsurface, virtual sources and receivers inside the subsurface can be created from seismic reflection data at the surface of the Earth using the Marchenko method. The response between these virtual sources and…

地球物理 · 物理学 2020-09-21 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

Marchenko focusing functions are in their essence wavefields that satisfy the wave equation subject to a set of boundary, initial, and focusing conditions. Here, we show how Marchenko focusing functions can be modeled by finding the…

地球物理 · 物理学 2022-10-27 Ruhul F. Hajjaj , Sjoerd A. L. de Ridder , Philip W. Livermore , Matteo Ravasi

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

The one dimensional wave equation serves as a basic model for imaging modalities such as seismic which utilize acoustic data reflected back from a layered medium. In 1955 Peterson et al. described a single scattering approximation for the…

偏微分方程分析 · 数学 2018-02-02 Peter C. Gibson

Many seismic imaging methods use wave field extrapolation operators to redatum sources and receivers from the surface into the subsurface. We discuss wave field extrapolation operators that account for internal multiple reflections, in…

地球物理 · 物理学 2023-08-07 Kees Wapenaar , Marcin Dukalski , Christian Reinicke , Roel Snieder

Reflection and transmission of waves in piecewise constant layered media are important in various imaging modalities and have been studied extensively. Despite this, no exact time domain formulas for the Green's functions have been…

组合数学 · 数学 2013-05-20 Peter C. Gibson

The study of wave propagation and scattering in time-dependent materials is a rapidly growing field of research. Whereas for 1D applications there is a simple relation between the wave equations for space-dependent and time-dependent…

应用物理 · 物理学 2025-02-07 Kees Wapenaar

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 equations of motion in a macroscopically inhomogeneous porous medium saturated by a fluid are derived. As a first verification of the validity of these equations, a two-layer rigid frame porous system considered as one single porous…

We consider two semi-infinite magnetoelecteric media separated by a planar interface whose electromagnetic response is described by axion-electrodynamics. The time dependent Green's function characterizing this geometry is obtained by a…

介观与纳米尺度物理 · 物理学 2019-07-03 O. J. Franca , L. F. Urrutia , Omar Rodríguez-Tzompantzi

We deal with the problem of reconstructing material coefficients from the farfields they generate. By embedding small (single) inclusions to these media, located at points $z$ in the support of these materials, and measuring the farfields…

偏微分方程分析 · 数学 2016-10-20 Ahmed Alsaedi , Faris Alzahrani , Durga Prasad Challa , Mokhtar Kirane , Mourad Sini

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…

This paper concerns the numerical simulation of time domain inverse acoustic scattering problems with a point-like scatterer, multiple point-like scatterers or normal size scatterers. Based on the Green's function and the application of the…

数值分析 · 数学 2024-06-07 Qingqing Yu , Bo Chen , Jiaru Wang , Yao Sun
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