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Development of novel velocity–resistivity relationships for granitic terrains based on complex collocated geotomographic modeling and supervised statistical analysis

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Abstract

The significance of velocity–resistivity relationships has been utilized in various geologic terrains and under different conditions. The approach is yet to be exploited in tropical granitic terrains, with no definitive empirical relationships being developed. The empirical relationships are critical for rapidly delineating subsurface petrophysical, geomechanical, hydrogeological, and soil–rock features. As a result, a novel approach has been used in this study to develop velocity–resistivity relationships for tropical granitic environments, combining complex collocated velocity (Vp) and resistivity (ρ) models with simple linear regression analysis. The granitic terrain of Penang Island, Malaysia, was chosen as the study area. The geotomographic results delineated three layers, which include the residual soils (topsoil and completely weathered granite), highly to relatively weathered granitic unit (including fractures), and integral/fresh granitic bedrock. Due to the complexity, ruggedness, and varying weathering and fracturing conditions of the subsurface lithologic units in tropical regions, the supervised regression modeling successfully developed a unified and other three specific velocity–resistivity empirical relations for the lithologic units. The derived velocity–resistivity empirical relations have high practical prediction accuracies to predict Vp data. The predicted Vp data and models from the velocity–resistivity relations had good lithological and structural correlations with their observed models. The overall performance of the results indicated that the velocity–resistivity empirical relations could delineate the subsurface geologic variabilities distinctively because they are resistivity-dependent. Hence, the developed comprehensive methodological and SLR workflows and the velocity–resistivity empirical relations were posited for use in granitic terrains with similar geology to the study area, especially in areas with shallow overburden.

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All data generated or analyzed during this study are included in this published article. The authors can make other supporting analyzed data available upon reasonable request.

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Acknowledgements

The undergraduate students under the supervision of Andy A. Bery (Ph.D.), the laboratory staff at the School of Physics (Geophysics Units), Universiti Sains Malaysia, and Mr. God’swill Nathan Sambo are appreciated for their assistance during the field data acquisition. The support enjoyed by the first author from Adekunle Ajasin University and Universiti Sains Malaysia to facilitate this research is also acknowledged.

Funding

The authors would like to thank the Malaysian Ministry of Higher Education (MoHE) for the Fundamental Research Grant Scheme (203.PFIZIK.6712108) and Universiti Sains Malaysia for the Short Term Grant (304.PFIZIK.6315489) to fund this research. The first author also received financial support from Adekunle Ajasin University for this research.

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Correspondence to Adedibu Sunny Akingboye or Andy Anderson Bery.

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The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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Edited by Prof. Bogdan Mihai Niculescu (ASSOCIATE EDITOR) / Prof. Gabriela Fernández Viejo (CO-EDITOR-IN-CHIEF).

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Akingboye, A.S., Bery, A.A. Development of novel velocity–resistivity relationships for granitic terrains based on complex collocated geotomographic modeling and supervised statistical analysis. Acta Geophys. 71, 2675–2698 (2023). https://doi.org/10.1007/s11600-023-01049-w

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  • DOI: https://doi.org/10.1007/s11600-023-01049-w

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