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On the construction of Joyner-Boore distance (Rjb) for PESMOS and COSMOS databases

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Abstract

This paper is aimed at constructing Rjb for PESMOS and COSMOS database representing the earthquakes triggered in Indian sub-continent. Rjb, by definition, is the shortest distance from the site to the horizontal projection of rupture plane and that can be constructed using simple geometry provided the required information is available. In practice, the uncertainty associated with this information offers several challenges which are addressed in this paper. First, a vector algebra-based approach is proposed for estimating epicentral distance and azimuth. Second, a set of empirical relationships is proposed to estimate the rupture plane from the moment magnitude using a dataset of 354 earthquakes based on tectonic settings and focal mechanisms. Third, a step-by-step process of computing Rjb is developed considering the uncertainty in the location of hypocenter on the rupture plane. Two approaches are considered for this purpose, namely, (i) areal grid representation and (ii) hypocenter distribution model. While the former assumes equally likely hypocenter over the rupture plane, the latter requires construction of hypocenter distribution model from the prior database. Fourth, the process is extended to account for the uncertainty in available information of strike and/or dip. The proposed framework is assessed against a total of 4247 records from PEER database with Rjb reported based on geometry and location of rupture plane. The framework is finally applied to compute Rjb associated with PESMOS (474 records) and COSMOS (148 records) database, and the results are expected to serve as a valuable resource while constructing GMPEs of shallow focused earthquakes.

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Data availability

Data may be available from the corresponding author through making reasonable request.

Code availability

Custom code is developed in MATLAB environment and not available for sharing.

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Acknowledgements

Partial support received under PMRF fellowship towards manpower is gratefully acknowledged.

Funding

This research is funded by the Ministry of Education, Government of India, and the Ministry of Human Resources and Development, Government of India, under the grant no. STARS/APR2019/ES/373/FS, and the financial support is acknowledged.

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  1. Department of Civil Engineering, Indian Institute of Technology Gandhinagar, Gandhinagar, India

    Falak Vats & Dhiman Basu

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  1. Falak Vats
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DB proposed the idea, performed conceptual design, interpret the results, prepared the final draft, and manage the overall research. FV processed the data, performed the analysis, generated and interpret the results, and prepared the first draft.

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Correspondence to Dhiman Basu.

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Vats, F., Basu, D. On the construction of Joyner-Boore distance (Rjb) for PESMOS and COSMOS databases. J Seismol 27, 173–202 (2023). https://doi.org/10.1007/s10950-022-10129-1

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