Extracting the Green’s function from measurements of the energy flux

Snieder, Roel; Douma, Huub; Vasconcelos, Ivan

doi:10.1121/1.3691840

Cited by 2 publications

(1 citation statement)

References 25 publications

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“…We have shown examples of receivers that can act as virtual sources, but one can also turn seismic sources into virtual receivers (Curtis et al 2009). Retrieving the waves propagating between sources from measurements of the energy flux is also possible (Snieder et al 2012). Furthermore, seismic noise has been used to locate earthquakes (Barmin et al 2011).…”

Section: Resultsmentioning

confidence: 99%

Extracting Earth's Elastic Wave Response from Noise Measurements

Snieder

Larose

2013

Annu. Rev. Earth Planet. Sci.

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International audienceRecent research has shown that noise can be turned from a nuisance into a useful seismic source. In seismology and other fields in science and engineering, the estimation of the system response from noise measurements has proven to be a powerful technique. To convey the essence of the method, we first treat the simplest case of a homogeneous medium to show how noise measurements can be used to estimate waves that propagate between sensors. We provide an overview of physics research--dating back more than 100 years--showing that random field fluctuations contain information about the system response. This principle has found extensive use in surface-wave seismology but can also be applied to the estimation of body waves. Because noise provides continuous illumination of the subsurface, the extracted response is ideally suited for time-lapse monitoring. We present examples of time-lapse monitoring as applied to the softening of soil after the 2011 Tohoku-oki earthquake, the detection of a precursor to a landslide, and temporal changes in the lunar soil

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Section: Resultsmentioning

confidence: 99%

Extracting Earth's Elastic Wave Response from Noise Measurements

Snieder

Larose

2013

Annu. Rev. Earth Planet. Sci.

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Method of numerical Green's function determination for far-field scattering solutions from objects at a water-sediment interface

Gunderson

Isakson

Bonomo

2019

The Journal of the Acoustical Society of America

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A method is presented for numerically determining Green's functions for the purpose of calculating the far-field scattering from objects resting on or buried within the seafloor. To obtain the far-field scattering, initial evaluation of the three-dimensional near-field solution is required, through finite element analysis or other means. The Green's function and its spatial derivatives are then numerically evaluated for input into the Helmholtz-Kirchhoff integral, yielding the far-field scattering solution. This numerical technique determines the Green's function directly and avoids requiring analytic forms of Green's functions, which may be difficult or time consuming to evaluate for complex environments. This paper demonstrates the effectiveness of applying the numerical Green's function determination technique in conjunction with near-field results from finite element models to determine the far-field scattering for various elastic targets in free-field and flat seafloor environments. The method may be generalizable to arbitrary targets at complicated interfaces, incorporating interface roughness, layering, and volume inhomogeneities.

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Extracting the Green’s function from measurements of the energy flux

Cited by 2 publications

References 25 publications

Extracting Earth's Elastic Wave Response from Noise Measurements

Extracting Earth's Elastic Wave Response from Noise Measurements

Method of numerical Green's function determination for far-field scattering solutions from objects at a water-sediment interface

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