Leptokaropoulos, Konstantinos Michail and Adamaki, Aggeliki K. (2018) Uncertainty of b-value Estimation in Connection with Magnitude Distribution Properties of Small Data Sets. In: 7 th EAGE Workshop on Passive Seismic,, 26-29 March 2018, Kraków, Poland.
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Abstract
We evaluate the efficiency of the maximum likelihood estimator introduced by Aki (1965), using synthetic datasets exhibiting diverse but well defined properties. The deviation of the b-value estimation from its real value is quantified by Monte Carlo simulations as a function of catalogue features and data properties such as the sample size, the magnitude uncertainties distribution, the round-off interval of reported magnitude values and the magnitude range. Within the objective of this study, algorithms have been compiled for the determination of such observational-theoretical deviations and to facilitate the construction of nomograms corresponding to diverse cases of input parameters. In this way, a more accurate estimation of the uncertainty level for the b-value and MC determination can be achieved, contributing to a more robust seismic hazard assessment, especially at low activity areas and induced seismicity sites. Our results indicate that b-value analysis, especially for small datasets should be carried out together with Magnitude range analysis. Nomograms should be constructed and adjusted to each particular case study in order to achieve a more accurate estimation of the b-value and the corresponding uncertainty.
| Item Type: | Conference or Workshop Item (Poster) |
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| Subjects: | Methodology > Method and procesing > Collective properties of seismicity Inducing technology > General about inducing technology types |
| Project: | SHEER project |