Water uptake in parallel fractures

Junjie Wang, Xingyu Zhu, Yixin Pan, Jisheng Kou, Shuyu Sun

Abstract view|749|times       PDF download|180|times

Abstract


   

Water uptake in rock fractures caused by rainfall plays a significant role in slope stability analysis. Since the fracture network system has complicated structures and multiple scales, the models based on the averaged system cannot account for these properties. On the other hand, a model describing a single fracture with fractal characteristics and surface roughness fails to deal with the case of multiple fractures at spatial scales. In this study, a fracture-network model is established to account for the complex structures and multiple scales of fractures. By considering the connectivity between fractures and the limited area of aquifer, capillary pressure formulations in different fractures are derived based on the Young-Laplace equation, and the final water level under specific rainfall conditions is also obtained. The cross-section shapes and exhaust conditions of rainwater infiltration have important influences on the final water level. The results indicate that the final water level is proportional to the ratio of perimeter to cross-section area when the fracture is a cylinder, and a circular pipe can reduce water level elevation in the fracture system.

Cited as: Wang, J., Zhu, X., Pan, Y., Kou, J., Sun, S. Water uptake in parallel fractures. Capillarity, 2021, 4(1): 1-12, doi: 10.46690/capi.2021.01.01


Keywords


Two-phase flow; capillary pressure; rainfall intensity; groundwater; fracture network

Full Text:

PDF

References


Abolpour, B., Shamsoddini, R. A novel scheme for predicting the behaviors of liquid and vapor phases of water using the ideal gas theory. International Journal of Thermodynamics, 2018, 21(3): 174-178.

Anderson, S. A., Sitar, N. Analysis of rainfall-induced debris flow. Journal of Geotechnical Engineering, 1995, 121(7): 544-552.

Brand, E. W. Some thoughts on rainfall induced slope failures. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1984, 21(3): A108.

Brenner, R. P., Tam, H. K., Brand, E. W. Field stress path simulation of rain-induced slope failure. In: Proceedings of 11th international conference on soil mechanics and foundation engineering, pp. 373–376, 1985.

Cho, S. E. Stability analysis of unsaturated soil slopes considering water-air flow caused by rainfall infiltration. Engineering Geology, 2016, 211: 184-197.

Cui, Y. Q., Huang, Y., Gao, M. X., et al. Study on the law of motion of water in glass capillary. Science and Technology Innovation Herald, 2015, 12(23): 44-45. (in Chinese)

Dill, H. G. Kaolin: Soil, rock and ore: From the mineral to the magmatic, sedimentary and metamorphic environments. Earth-Science Reviews, 2016, 161: 16-129.

Ding, X., Liang, X., Zhang, Y., et al. Capillary water absorption and micro pore connectivity of concrete with fractal analysis. Crystals, 2020, 10(10): 1-13.

Dong, J. B. LBM simulations and experimental validations of fluid flow through single fractures in rock media. China University of Mining and Technology, PhD, 2020. (in Chinese)

Kristo, C., Rahardjo, H., Satyanaga, A. Effect of variations in rainfall intensity on slope stability in Singapore. International Soil and Water Conservation Research, 2017, 5(4): 258-264.

Liu, H., Cao, G. Effectiveness of the Young-Laplace equation at nanoscale. Scientific Reports, 2016, 6: 23936.

Lu, N., Godt, J. Hillslope Hydrology and Stability. New York, USA, Cambridge University Press, 2013.

Nesbitt, H. W., Young, G. M. Early proterozoic climates and plate motions inferred from major element chemistry of lutites. Nature, 1982, 299(5885): 715-717.

Regmi, R. K., Jung, K., Nakagawa, H., et al. Study on mechanism of retrogressive slope failure using artificial rainfall. Catena, 2014, 122: 27-41.

Regmi, R. K., Jung, K., Nakagawa, H., et al. Numerical analysis of multiple slope failure due to rainfall: Based on laboratory experiments. Catena, 2017, 150: 173-191.

Sasaki, S., Ishiguro, R., Caupin, F., et al. Superfluidity of grain boundaries and supersolid behavior. Science, 2016, 313(5790): 1098-1100.

Sidle, R. C., Swanston, D. N. Analysis of a small debris slide in coastal Alaska. Canadian Geotechnical Journal, 1982, 19(2): 167-174.

Sitar, N., Anderson, S. A., Johnson, K. A. Conditions leading to the initiation of rainfall-induced debris flows. In Stability and Performance of Slopes and Embankments II: Proceedings of a Specialty Conference, American Society of Civil Engineers. Geotechnical Engineering Division, American Society of Civil Engineers, 1992.

Terzaghi, K. Mechanism of landslides, in Application of Geology to Engineering Practice, edited by K. Terzaghi and S. Paige, Berkey Volume, New York, pp. 83-123, 1950.

Wang, E. Z., Wang, H. T., Sun, Y. Study on seepage flow model in double fracture systems. Chinese Journal of Rock Mechanics and Engineering, 1998, 17(4): 400-406. (in Chinese)

Wang, G., Sassa, K. Pore-pressure generation and movement of rainfall-induced landslides: Effects on grain size and fine-particle content. Engineering Geology, 2003, 69(1-2): 109-125.

Wang, L., Li, G., Chen, Y., et al. Field model test on the disaster mechanism of artificial cut slope rainfall in Southern Jiangxi. Rock and Soil Mechanics, 2021, 3: 1-10. (in Chinese)

West, J. B. The original presentation of Boyle’s law. Journal of Applied Physiology, 1999, 87(4): 1543-1545.

Zheng, Z. C., Liu, Y., Wang, M., et al. Experiments and model on contaminant transport in a single marble parallel plate fracture using continuous time random walk. Journal of Hefei University of Technology (Natural Science), 2019, 42(5): 677-682. (in Chinese)


Refbacks

  • There are currently no refbacks.


Copyright (c) 2021 The Author(s)

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Copyright ©2018. All Rights Reserved