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Fuzzy set concept in structural geology: Example of ductile simple shear

Abstract

Much of the time, geological data are not accurately known. Instead, geoscientists work with a range of possible data. These data can have a range since they can vary spatially and temporally. In this context, we demonstrate how a well-established structural geological model of velocity profile of ductile simple shear, expressed as an equation, can be furthered by fuzzy set concept. The implementation of fuzzy set concepts in terms of fuzzification in (geo)scientific models takes into consideration the uncertainties of magnitudes of the parameters that define the model. The present study shows that the fuzzified velocity profile of a ductile simple shear zone with parallel boundaries is effectively independent of the dip of the shear zone. This article demonstrates how models of (structural) geological processes can be modelled by fuzzy set approach capable of incorporating a range of magnitudes of parameters.

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Figure 1

Reproduced from figure 1(b) of Mukherjee (2012).

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Acknowledgements

SM was supported by CPDA grant of IIT Bombay. We thank the two anonymous reviewer(s) for raising several concerns. The Associate Editor, Prof Saibal Gupta is thanked for handling and providing language and presentation-related comments.

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Contributions

PA: Worked with numericals and in preparation of the draft ms; SC: Supervision, preparation and corrections in the paper; and SM: supervision, writing and finishing the final version of the paper.

Corresponding author

Correspondence to Soumyajit Mukherjee.

Additional information

Communicated by Saibal Gupta

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Anand, P., Chakraverty, S. & Mukherjee, S. Fuzzy set concept in structural geology: Example of ductile simple shear. J Earth Syst Sci 130, 193 (2021). https://doi.org/10.1007/s12040-021-01683-2

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Keywords

  • Deformation
  • tectonics
  • uncertainty