Interpretation of resonance frequencies recorded during hydraulic fracturing treatments

Tary, Jean Baptiste; Baan, Mirko van der; Eaton, David W.

doi:10.1002/2013jb010904

Cited by 58 publications

(71 citation statements)

References 78 publications

(122 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…considered turbulent [Hellweg, 2000;Dunham and Ogden, 2012;Tary et al, 2014] and even multiphase flows [Kumagai and Chouet, 2000;Morrissey and Chouet, 2001;Jousset et al, 2004].…”

Section: 1002/2014jb011286mentioning

confidence: 99%

“…The discrepancy in fracture length is due to a mistake in equation (A1) of Tary et al [2014], where a factor of 2 is necessary in the denominator of the radical because f = ∕2 .…”

Section: Analysis Of Datamentioning

confidence: 99%

“…The latter has been considered, in an approximate way, by Tary et al [2014], who suggest that it will decrease resonant frequencies. The decrease in width will also alter flow and will eventually lead to fully developed flow and increased attenuation in some region near the crack tips.…”

Section: Uncertainties and Limitationsmentioning

confidence: 99%

“…fracturing of geothermal [Bame and Fehler, 1986;Ferrazzini et al, 1990] and tight gas reservoirs [Tary et al, 2014]. Events with an impulsive nature often show a gradual amplitude decay in the latter part of their wave train or coda.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Vibrational modes of hydraulic fractures: Inference of fracture geometry from resonant frequencies and attenuation

Lipovsky¹,

Dunham²

2018

Preprint

View full text Add to dashboard Cite

Oscillatory seismic signals arising from resonant vibrations of hydraulic fractures are observed in many geologic systems, including volcanoes, glaciers and ice sheets, and hydrocarbon and geothermal reservoirs. To better quantify the physical dimensions of fluid‐filled cracks and properties of the fluids within them, we study wave motion along a thin hydraulic fracture waveguide. We present a linearized analysis, valid at wavelengths greater than the fracture aperture, that accounts for quasi‐static elastic deformation of the fracture walls, as well as fluid viscosity, inertia, and compressibility. In the long‐wavelength limit, anomalously dispersed guided waves known as crack or Krauklis waves propagate with restoring force from fracture wall elasticity. At shorter wavelengths, the waves become sound waves within the fluid channel. Wave attenuation in our model is due to fluid viscosity, rather than seismic radiation from crack tips or fracture wall roughness. We characterize viscous damping at both low frequencies, where the flow is always fully developed, and at high frequencies, where the flow has a nearly constant velocity profile away from viscous boundary layers near the fracture walls. Most observable seismic signals from resonating fractures likely arise in the boundary layer crack wave limit, where fluid‐solid coupling is pronounced and attenuation is minimal. We present a method to estimate the aperture and length of a resonating hydraulic fracture using both the seismically observed quality factor and characteristic frequency. Finally, we develop scaling relations between seismic moment and characteristic frequency that might be useful when interpreting the statistics of hydraulic fracture events.

show abstract

“…considered turbulent [Hellweg, 2000;Dunham and Ogden, 2012;Tary et al, 2014] and even multiphase flows [Kumagai and Chouet, 2000;Morrissey and Chouet, 2001;Jousset et al, 2004].…”

Section: 1002/2014jb011286mentioning

confidence: 99%

“…The discrepancy in fracture length is due to a mistake in equation (A1) of Tary et al [2014], where a factor of 2 is necessary in the denominator of the radical because f = ∕2 .…”

Section: Analysis Of Datamentioning

confidence: 99%

Section: Uncertainties and Limitationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Vibrational modes of hydraulic fractures: Inference of fracture geometry from resonant frequencies and attenuation

Lipovsky¹,

Dunham²

2018

Preprint

View full text Add to dashboard Cite

show abstract

“…(St-Onge et al, 2013;Tary et al, 2014). In 2012-2013, the Microseismic Research Consortium deployed a vertical…”

mentioning

confidence: 99%

Adaptive STA–LTA with Outlier Statistics

Jones¹,

Baan²

2015

Bulletin of the Seismological Society of America

View full text Add to dashboard Cite

The most common approach to seismic triggering is to compare shortterm averages (STA) with long-term averages (LTA) of transformed amplitudes. In recording environments where this technique is of limited use, hidden Markov models (HMMs) are increasingly used for statistical event detection and classification, but these require training data and are often susceptible to false positive detection errors. In this work, we introduce an adaptive STA-LTA triggering algorithm that uses STA and LTA of state probabilities defined by restricting an HMM to a two population model of outliers in background noise. Monte Carlo simulations of noise and synthetic events are used to investigate detector sensitivity using statistical properties of latent states. We compare our method with traditional STA-LTA triggering on real data recorded by a 12-station vertical borehole array near Hoadley gas field, Alberta, Canada. These tests suggest that our method is more accurate when dealing with closely spaced events and is less susceptible to false positive detection errors. When existing picking algorithms are adapted for HMM STA-LTA, the result is improvement in total picks, accuracy, and consistency. A narrow range of detection thresholds is optimal for a wide range of signal-to-noise ratios; this suggests HMM STA-LTA may be less sensitive to analyst parameter choices than even traditional STA-LTA.

show abstract

Characteristics of fluid‐induced resonances observed during microseismic monitoring

et al. 2014

View full text Add to dashboard Cite

Three groups of resonances are observed during a two‐stage hydraulic experiment recorded by 12 three‐component geophones. The injected fluid is composed of a slurry of mostly water and proppant plus some supercritical nitrogen. Resonance characteristics are estimated using an autoregressive model. Three resonance models are investigated: fluid‐filled cracks, nonlaminar fluid flow, and repetitive events in terms of anticipated resonance frequencies, quality factors, and amplitudes. The observed resonances are very stable and positively correlated with either the slurry flow or the nitrogen injection rate, which is in contradiction with the repetitive events and fluid‐filled crack models, respectively. Resonances obtained by numerical simulations of an unstable jet agree with the main characteristics of most observed resonances. Our observations suggest that variations in resonance frequencies are mainly driven by variations in fluid flow, whereas quality factors are more sensitive to the fluid composition through variations in nitrogen injection rate. This study also suggests that resonance frequencies and quality factors can provide complementary information for real‐time monitoring of fluid injection into reservoirs, for hydraulic stimulations, geothermal operations, carbon capture, and storage or fluid movement during volcano eruptions.

show abstract

Interpretation of resonance frequencies recorded during hydraulic fracturing treatments

Cited by 58 publications

References 78 publications

Vibrational modes of hydraulic fractures: Inference of fracture geometry from resonant frequencies and attenuation

Vibrational modes of hydraulic fractures: Inference of fracture geometry from resonant frequencies and attenuation

Adaptive STA–LTA with Outlier Statistics

Characteristics of fluid‐induced resonances observed during microseismic monitoring

Contact Info

Product

Resources

About