Abstract
To optimize the prediction of structural geological conditions in the underground as of data collected at the surface, due to the usual great uncertainties involved, we discuss new perspectives for the construction of structural geological models, bearing in mind the common doubts involved and their implications in the safety of infrastructure works, mining, etc. This paper presents a statistical simulation applied to structural geological measures (dip-dip direction) obtained from schists during the design and construction of civil works through a correlation between surface data with different depth levels. Angular structural geological measures of joints and foliations converted in direction cosines were subjected to the PERMANOVA test to verify the amplitude of differences at different depth levels. The asymptotic results allowed to determine regions of confidence built around centroids through statistical simulation, allowable consistency was considered in regions where the differences in the simulated values were small enough from a practical point of view, considering that the difference between joint structures and foliation structures is smaller in the former. The foliation is a characteristic structure of rock deformation just like the joints.
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Acknowledgements
We would like to thank professor Anatoly Yambartsev, and the Department of Statistics of the University of São Paulo by the Mathematics support. We are also grateful for the reviewer of anonymous reviewers.
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BCX was responsible to write the paper, and compilation of data, and constructing statistical analyzes. ME-S contributed to writing the paper, especially in geology structural. GRS contributed to write the paper and compilation of data. BAS contributed to constructing statistical analyzes. VJT contributed to constructing statistical analyzes.
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Xavier, B.C., Egydio-Silva, M., Sadowski, G.R. et al. Construction of Structural Geological Model Using Monte Carlo Simulation. Geotech Geol Eng 40, 1345–1361 (2022). https://doi.org/10.1007/s10706-021-01967-w
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DOI: https://doi.org/10.1007/s10706-021-01967-w