Abstract
The study of induced seismicity at sites of fluid injection is paramount to assess the seismic response of the earth’s crust and to mitigate the potential seismic risk. However statistical analysis is limited to events above the completeness magnitudemc, which estimation may significantly vary depending on the employed method. To avoid potential biases and optimize the data exploitable for analysis, a better understanding of completeness, detection capacity and censored data characteristics is needed. We apply various methods previously developed for natural seismicity on 16 underground stimulation experiments. We verify that different techniques yield differentmcvalues and we suggest using the 90% quantile of themcdistribution obtained from high-resolution mapping, withmcdefined from the mode of local magnitude frequency distributions (MFD). We show that this distribution can be described by an asymmetrical Laplace distribution and the bulk MFD by an asymmetric Laplace mixture model. We obtain an averaged Gutenberg-Richter parameterb=1.03±0.48and a detection parameterk=3.18±1.97 from mapping, with values subject to high uncertainties across stimulations. We transfer Bayesianmcmapping developed for natural seismicity to the context of induced seismicity, here adapted to local three-dimensional seismicity clouds. We obtain the new prior parameterizationmc,pred=1.64log10(d3)−1.83, withd3the distance to the 3rd nearest seismic station. The potential use of censored data and ofmcprediction is finally discussed in terms of data mining to improve the monitoring, modeling and managing of induced seismicity.
Highlights
The evaluation of the completeness magnitude mc, above which the Gutenberg-Richter law is verified as all the data is by definition observed, is a prerequisite to virtually all statistical analyses of seismicity
The present study aims at filling this gap by an in-depth analysis of the magnitude frequency distribution (MFD) at multiple sites
Note that the mc,obs distribution shape matches the curvature of the bulk MFD, which verifies that it is due at first order to spatial heterogeneities
Summary
The evaluation of the completeness magnitude mc, above which the Gutenberg-Richter law is verified as all the data is by definition observed, is a prerequisite to virtually all statistical analyses of seismicity. This includes the study of induced seismicity at sites of underground stimulation by fluid injection. Underestimating mc yields to biased estimates of the slope of the Gutenberg-Richter law, the b-value, and overestimating it may lead to unnecessary under-sampling. To the best of our knowledge, this is the first study dedicated to completeness magnitude analysis in the induced seismicity context.
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