Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Uncertainty of B-value estimation in connection with magnitude distribution properties of small data sets

Leptokaropoulos, K. and Adamaki, A. LU orcid (2018) 7th EAGE Workshop on Passive Seismic 2018 In 7th EAGE Workshop on Passive Seismic 2018 2018-March.
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... (More)

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.

(Less)
Please use this url to cite or link to this publication:
author
and
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
7th EAGE Workshop on Passive Seismic 2018
series title
7th EAGE Workshop on Passive Seismic 2018
volume
2018-March
publisher
European Association of Geoscientists and Engineers
conference name
7th EAGE Workshop on Passive Seismic 2018
conference location
Krakow, Poland
conference dates
2018-03-26 - 2018-03-29
external identifiers
  • scopus:85049202221
ISBN
9789462822443
language
English
LU publication?
no
id
53f9d594-8ad9-4aa1-9acb-a223e897314c
date added to LUP
2023-10-04 11:34:17
date last changed
2023-10-04 11:34:17
@inproceedings{53f9d594-8ad9-4aa1-9acb-a223e897314c,
  abstract     = {{<p>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.</p>}},
  author       = {{Leptokaropoulos, K. and Adamaki, A.}},
  booktitle    = {{7th EAGE Workshop on Passive Seismic 2018}},
  isbn         = {{9789462822443}},
  language     = {{eng}},
  publisher    = {{European Association of Geoscientists and Engineers}},
  series       = {{7th EAGE Workshop on Passive Seismic 2018}},
  title        = {{Uncertainty of B-value estimation in connection with magnitude distribution properties of small data sets}},
  volume       = {{2018-March}},
  year         = {{2018}},
}