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The behavior of mass migration and loss in fractured rock during seepage

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Abstract

Mass migration and loss in fractured rock during seepage processes are considered to cause seepage instabilities, which can lead to seepage catastrophes. In this study, the migration and loss of fine particles in fractured rock during seepage are theoretically and experimentally investigated. We analyze the characteristics of lost and migrated mass obtained from the experiments over time, as well as the effect of initial compression. A linear relationship is found to best describe the difference of migrated versus lost mass and Talbot power exponent (TPE), with the slope and intercept related to initial compression. The lost and migrated mass are described mathematically based on the TPE and initial compression. We quantify the behavior of mass migration and loss, which allows calculation of the possibility of seepage instability and water inrush. A seepage instability occurs if the lost mass ratio is greater than 4.90%. The results presented here provide important insight into the water inrush mechanism in geotechnical engineering applications.

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Abbreviations

A :

the cross-section area of the sample, L2

a :

the slope of the linear relationship, -

b :

the intercept of the linear relationship, -

d :

the inner diameter of permeameter, L

d i :

the particle size of the current fractured mudstone, L

d p :

the diameter of the migrated fine particle, L

f :

the turbulent frequency, T−1

h 0 :

the height of the sample without initial compression, L

h 0c :

the height of the sample with initial compression, L

h c :

the initial compression, L

j :

the times of collecting the lost mass, -

M :

the original mass of the sample, M

m li :

the collected lost mass, M

m m :

the migrated mass, M

Δm :

the difference mass, M

n :

Talbot power exponent (TPE), -

r l :

The lost mass ratio, -

Δt :

a period of time, T

u f :

the flow velocity of water, LT−1

u p :

the flow velocity of the fine particle, LT−1

V 0 :

the volume of the sample without initial compression, L3

V 0c :

the volume of the sample with initial compression, L3

V f :

the volume of water in the gaps and spaces, L3

V p :

the volume of the fine particles in the gaps and spaces, L3

V t :

the volume of the tight sample with the original mass, L3

ϕ 0 :

the original porosity of the sample, -

ϕ i :

the current porosity of the sample induced by mass loss, -

ρ f :

the density of water, ML−3

ρ p :

the density of the sample, ML−3

μ :

the viscosity coefficient of water at normal atmospheric temperature, ML−2T

ω :

the natural frequency, T−1

η :

the velocity ratio of migrated fine particle and water, -

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Acknowledgements

This work was supported by the Natural Science Foundation of Jiangsu Province of China (BK20160433), the National Natural Science Fund (11502229), the Program of Outstanding Young Scholars in Yancheng Institute of Technology (2014), the Program of Yellow Sea Elite in Yancheng Institute of Technology (2019), the Outstanding Young Backbone Teacher of QingLan Project in Jiangsu Province (2016), Jiangsu Government Scholarship for Overseas Studies (2017), Scholarship for Overseas Studies in Yancheng Institute of Technology (2018) and the Program of Yellow Sea Team in Yancheng Institute of Technology (2019). We thank Esther Posner, PhD, from Liwen Bianji, Edanz Editing China (www.liwenbianji.cn/ac), for editing the English text of a draft of this manuscript.

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Correspondence to Luzhen Wang.

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Kong, H., Wang, L. The behavior of mass migration and loss in fractured rock during seepage. Bull Eng Geol Environ 79, 739–754 (2020). https://doi.org/10.1007/s10064-019-01581-4

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