Note: Localization based on estimated source energy homogeneity

Turkaya, Semih; Toussaint, Renaud; Eriksen, Fredrik Kvalheim; Lengliné, Olivier; Daniel, Guillaume; Flekkøy, Eirik Grude; Måløy, Knut Jørgen

doi:10.1063/1.4962407

Cited by 6 publications

(10 citation statements)

References 27 publications

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“…Some of the signal localization types have been recently reviewed in Turkaya et al (2016). In the present article, we show the application of the estimation of source energy homogeneity (ESEH) to locate the source of the acoustic emissions during aerofracturing experiments (Turkaya et al, 2015).…”

Section: 1029/2019gl082198mentioning

confidence: 99%

“…R(n) = ||r n − r s || is the distance between the source and the receiver, and h is the plate thickness. The minimum of this standard deviation over all tested positions r s , indicates the source location (Turkaya et al, 2016). However, for glass plates and the distances that are used in this experiment, viscous attenuation can be neglected (i.e., ≈ 0, Farin et al, 2015).…”

Section: The Esehmentioning

confidence: 99%

“…Standard deviation (r s ) for source energy E s at different test positions r s on a regular grid for four different sensors are calculated. The minimum of this standard deviation over all tested positions r s , indicates the source location (Turkaya et al, 2016). We used 5-mm grid spacing for the trial positions r s on the 45 cm × 30 cm area covered by the porous medium inside the Hele-Shaw cell.…”

Section: The Esehmentioning

confidence: 99%

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Source Localization of Microseismic Emissions During Pneumatic Fracturing

Turquet

Toussaint

Eriksen

et al. 2019

Geophysical Research Letters

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Localization of signals is a widely applied technique used in different areas of science telecommunication, medicine, or seismology. In this work, we study microseismic emissions due to stick‐slip events during pneumatic fracture in a transparent setup at laboratory scale and apply a localization method “Estimated Source Energy Homogeneity.” The seismic location results are compared with the image correlation results for displacement maps corresponding to the event times. We have observed (using optics and acoustics) that the movement starts inside the porous medium and progresses toward the channel tips, eventually causing channels to grow further. This finding could be of interest in understanding fluid‐induced earthquake nucleation processes. Similar to in‐site applications of pneumatic or fluid‐related fracturing, it shows that the area influenced extends beyond the fracture tips. This also shows why even after the end of pumping, we may get earthquakes, such as in the Basel case (Haring et al., 2008, https://doi.org/10.1016/j.geothermics.2008.06.002).

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Section: 1029/2019gl082198mentioning

confidence: 99%

Section: The Esehmentioning

confidence: 99%

Section: The Esehmentioning

confidence: 99%

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Source Localization of Microseismic Emissions During Pneumatic Fracturing

Turquet

Toussaint

Eriksen

et al. 2019

Geophysical Research Letters

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“…In this study the resolution is set to ≈60 mm 2 per pixel. In other experiments where the mechanical vibrations are generated in plates by a stress exerted on plates, equation is expressed as a far‐field approximation of the Lamb waves (Farin et al, ; Goyder & White, ; Turkaya et al, ) :

\overset{ξ}{true} false(l, ω false(k false) false) = \frac{- i \overset{F}{true} false(ω false(k false) false)}{8 B k^{2}} \sqrt{\frac{2}{lkπ}} e^{- i false(lk - π false/ 4 false)}

where

\overset{ξ}{true} false(l, ω false(k false) false)

is the displacement of the plate in Fourier domain at a distance

l = \sqrt{{false(x_{s} - x_{r} false)}^{2} + {false(y_{s} - y_{r} false)}^{2} false)}

from the source,

\overset{F}{true} false(ω false(k false) false)

is the applied force in Fourier domain at a point like source, B is the bending stiffness

B = \frac{h^{3} E}{12 false(1 - ν^{2} false)}

where h is the thickness of the plate, E is the Young's modulus, and ν is the Poisson's ratio of the plate material. k is the wavenumber where the dispersion relation with angular frequency ω is

k = ω^{1 false/ 2} {((), \frac{ρh}{B})}^{1 false/ 4}

.…”

Section: Constraints For the Numerical Modelmentioning

confidence: 99%

“…In this study the resolution is set to ≈ 60 mm 2 per pixel. In other experiments where the mechanical vibrations are generated in plates by a stress exerted on plates, equation (4) is expressed as a far-field approximation of the Lamb waves (Farin et al, 2016;Goyder & White, 1980;Turkaya et al, 2016) :…”

Section: Accelerometric Signal Generation Across the Platementioning

confidence: 99%

Microseismic Emissions During Pneumatic Fracturing: A Numerical Model to Explain the Experiments

et al. 2018

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Modeling of fluid injection processes into a deformable porous medium is a challenging area of physics that has a wide range of applications like the food, construction, and petroleum industries. In this research, we investigate pneumatic fracturing of a porous medium experimentally and numerically in a Hele‐Shaw cell. In the experiments, we inject air into the porous medium (initially random loose packed) to create compaction, channeling, and fracturing while monitoring the cell with accelerometers and a high‐speed camera. Furthermore, we develop a numerical model in two steps: (1) a poroelastoplasticity‐based model to explain dynamic fluid pressure variations and (2) a solid stress model based on Janssen's theory. The contributions of the different pressure sources air in channels and solid stress in the experiments, and the simulations are compared with respect to amplitude and frequency. Afterward, the variations of the normal stress exerting on the plates are convolved with a Lamb Wave green function to generate acoustic emissions numerically. The physics behind the evolution of the experimentally recorded power spectrum of the out‐of‐plane plate vibrations are explained using numerical models. The frequency bands (in the simulated power spectra) are influenced by the size of the opened channels and the Hele‐Shaw cell and are in the same range with the experimentally measured peaks of the acoustic emissions.

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