1887

Abstract

Summary

Deployment of networks at the surface or/and in wells to monitor the seismicity induced in underground reservoirs is common. The goals are to better image and characterize the reservoir and to mitigate the seismic hazard. With low coverage network, however, event location using only observed arrival times is either poorly constrained or not constrained at all, and may not bring any value. This is typical from borehole monitoring of hydraulic fracturing operations that requires using the seismic wave polarization to indicate the event direction of arrivals.

Within a Bayesian framework, we propose a probabilistic formulation to integrate correctly the P-wave polarization for hypocentre determination. We take a single three-component sensor perspective and assume that the covariance matrix measured around the P-wave quantifies the polarization. This matrix contains all necessary axial information including uncertainties. Using directional statistics, we can define the so-called angular central Gaussian (ACG) likelihood that quantifies the probability density function associated with a modelled polarization vector given the observed covariance matrix.

The ACG formulation eliminates physical issues existing in current formulations. It is simple, easy to implement and offers an “all-in-one” solution including spatial dependencies and uncertainties that lead to smaller location uncertainties.

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/content/papers/10.3997/2214-4609.201700746
2017-06-12
2019-12-13
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References

  1. BardainneT. and GaucherE.
    2010. Constrained tomography of realistic velocity models in microseismic monitoring using calibration shots. Geophysical Prospecting58(5), 739–753.
    [Google Scholar]
  2. BelayouniN., GesretA., DanielG. and NobleM.
    2015. Microseismic event location using the first and reflected arrivals. Geophysics80 (6), WC133–WC143.
    [Google Scholar]
  3. EisnerL., HulseyB.J., DuncanP., JurickD., WernerH. and KellerW.
    2010. Comparison of surface and borehole locations of induced seismicity. Geophysical Prospecting58(5), 809–820.
    [Google Scholar]
  4. FlinnE.A.
    1965. Signal analysis using rectilinearity and direction of particle motion. Proceedings of the IEEE53(12), 1874–1876.
    [Google Scholar]
  5. KinscherJ., BernardP., ContrucciI., MangeneyA., PiguetJ.P. and BigarreP.
    2015. Location of microseismic swarms induced by salt solution mining. Geophysical Journal International200(1), 337–362.
    [Google Scholar]
  6. MardiaK.V. and JuppP.E.
    2000. Directional statistics. Wiley. ISBN 0471953334.
    [Google Scholar]
  7. MaxwellS.C., RutledgeJ., JonesR. and FehlerM.
    2010. Petroleum reservoir characterization using downhole microseismic monitoring. Geophysics75 (5), 75.
    [Google Scholar]
  8. MontalbettiJ.F. and KanasewichE.R.
    1970. Enhancement of Teleseismic Body Phases with a Polarization Filter. Geophysical Journal of the Royal Astronomical Society21(2), 119–129.
    [Google Scholar]
  9. NobleM., GesretA. and BelayouniN.
    2014. Accurate 3-D finite difference computation of traveltimes in strongly heterogeneous media. Geophysical Journal International199(3), 1572–1585.
    [Google Scholar]
  10. OyeV. and RothM.
    2003. Automated seismic event location for hydrocarbon reservoirs. Computers & Geosciences29(7), 851–863.
    [Google Scholar]
  11. PhillipsW., FairbanksT., RutledgeJ. and AndersonD.
    1998. Induced microearthquake patterns and oil-producing fracture systems in the Austin chalk. Tectonophysics289 (1–3), 153–169.
    [Google Scholar]
  12. TylerD.E.
    1987. Statistical analysis for the angular central Gaussian distribution on the sphere. Biometrika74(3), 579–589.
    [Google Scholar]
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