Calculation of erosion mass of bentonite based on fractal model for colloids

XU Yong-fu

doi:10.11779/CJGE202004016

Volume 42 Issue 4

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Chinese Journal of Geotechnical Engineering > 2020 > 42(4): 731-736. > DOI: 10.11779/CJGE202004016

XU Yong-fu. Calculation of erosion mass of bentonite based on fractal model for colloids[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(4): 731-736. DOI: 10.11779/CJGE202004016

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XU Yong-fu. Calculation of erosion mass of bentonite based on fractal model for colloids[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(4): 731-736. DOI: 10.11779/CJGE202004016

Citation:

XU Yong-fu. Calculation of erosion mass of bentonite based on fractal model for colloids[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(4): 731-736. DOI: 10.11779/CJGE202004016

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Calculation of erosion mass of bentonite based on fractal model for colloids

XU Yong-fu^{1, 2,}

1.
Department of Civil Engineering, Shanghai Jiaotong University, Shanghai 200030, China
2.
Wanjiang Institute of Technology, Maanshan 243000, China

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Received Date: May 19, 2019
Available Online: December 07, 2022

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Abstract

Abstract

The water inflow into the deposition holes and tunnels in a repository will mainly take place through fractures in the rock and will lead to that the buffer and backfill will be wetted and eroded. If the counter pressure and strength of the buffer or backfill are insufficiently high, piping erosion will take place. An erosion model to estimate the erosion mass (m_s) of bentonite buffer in saline solution for a certain water inflow rate during a certain time based on the fractal model for bentonite colloids is proposed as $m_{s} = β V_{w}^{α}$ , in terms of a power law, V_w is the accumulated volume of water flow. The exponent parameter (α) is related to the fractal dimension (D) of bentonite colloids as $α = D / (6 - D)$ . The relationship between the erosion mass (m_s) and the accumulated volume of water flow (V_w) is verified by the experiments of MX-80 bentonite piping erosion in NaCl solutions by Börgesson et al and Suzuki et al. The fractal dimension (D) of bentonite colloids is calculated according to the small-angle X-ray scattering (SAXS) of MX-80 bentonite by Svensson & Hansen (2013).
- bentonite,
- erosion mass,
- accumulated volume of water flow,
- colloid,
- fractal dimension

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Calculation of erosion mass of bentonite based on fractal model for colloids

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