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Upscaling of Se(IV) sorption coefficients with hierarchical mineral characterization in multi-scale fractured granite

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Abstract

The radionuclides sorption on fractured rocks is greatly influenced by the constituent minerals and their spatial variations of the fracture matrix. The mineral heterogeneity distributions can lead to potential scale-dependent sorption coefficients in fractured rocks. The indicator geostatistics-based upscaling (IU) method is one promising upscaling approach but has a gap in linking parameters from different sources in real applications. Taking Se(IV) sorption on fractured granite as an example, this study developed a sorption coefficient transition function between individual minerals and mineral assemblages and validated the IU method for estimating the sorption coefficients under a hierarchical framework of reactive mineral facies. The sorption coefficients of the reactive mineral assemblage at the mesoform scale were estimated based on the spatial distribution of minerals on the fracture surface and multimodal mineral sorption coefficients at the microform scale. Compared to the parameters derived from our fracture transport experiment and traditional component additivity method, the IU method accurately estimates the sorption coefficients of mineral assemblage and delineates the variations of sorption coefficients at different scales. This study successfully bridges the gap between laboratory-scale measurements and field-scale simulations and provides important information for field-scale predictive modeling.

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The data and material used to support the findings of this study are available from the corresponding author upon request.

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Acknowledgements

This work is funded by the National Key R&D Program of China (No. 2018YFC1800900), the National Natural Science Foundation of China (NSFC: 41972249, 41772253, and 51774136), and the Program for Jilin University (JLU) Science and Technology Innovative Research Team (No. 2019TD-35).

Funding

This work is funded by the National Key R&D Program of China (No. 2018YFC1800900), the National Natural Science Foundation of China (NSFC: 41972249, 41772253, and 51774136), and the Program for Jilin University (JLU) Science and Technology Innovative Research Team (No. 2019TD-35).

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Authors and Affiliations

  1. College of Construction Engineering, Jilin University, Changchun, 130026, China

    Funing Ma, **aoying Zhang, Chuanjun Zhan, Wei Chen, Linlin Qi & Zhenxue Dai

  2. Institute of Intelligent Simulation and Early Warning for Subsurface Environment, Jilin University, Changchun, 130026, China

    Funing Ma, **aoying Zhang & Zhenxue Dai

  3. Key Laboratory of Groundwater Resources and Environment, Ministry of Education, Changchun, 130026, China

    Zhenxue Dai

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  1. Funing Ma
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  2. **aoying Zhang
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  4. Wei Chen
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Contributions

All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by CZ, WC and LQ. The article was repeatedly revised to generate the final version by XZ and ZD. The first draft of the manuscript was written by FM and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to **aoying Zhang or Zhenxue Dai.

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Ma, F., Zhang, X., Zhan, C. et al. Upscaling of Se(IV) sorption coefficients with hierarchical mineral characterization in multi-scale fractured granite. Stoch Environ Res Risk Assess 37, 877–887 (2023). https://doi.org/10.1007/s00477-022-02321-z

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