International Scientific Journal


In this paper, the two-phase fluid composed of fine geologic particles and water is considered to be a non-Newtonian fluid, and the seepage dynamics model of the two-phase medium in the rock-soil structure is constructed. Based on the hypothesis, the boundary conditions and solving methods of the model are given and the critical conditions of the model instability are also discussed in detail. It is shown that the existence of the equilibrium state of the kinetic model is determined by the power exponent, the effective fluidity and the non-Darcian flow factor.
PAPER REVISED: 2018-09-03
PAPER ACCEPTED: 2018-12-27
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 3, PAGES [1393 - 1399]
  1. LI, L., et al., Dam Safety and Risk Management in China and Its Strategic Consideration, Chinese Journal of Geotechnical Engineering, 11 (2008), 30, pp. 1581-1587
  2. Rico, M. G., et al., Floods from Tailings Dam Failures, Journal of Hazardous Materials, 1 (2008), 154, pp. 79-87
  3. Simmons, C. T., et al., Henry Darcy (1803-1858): Immortalised by His Scientific Legacy, Hydrogeology Journal, 6 (2008), 16, pp. 1023-1038
  4. Schanz, T., et al., Theoretical and Numerical Unsaturated Soil Mechanics, Vadose Zone Journal, 2 (2013), 113, pp. 509
  5. Istomina, V. S., et al. Percolation Strength of Clays, Hydrotechnical Construction, 9 (1975), 11, pp. 1111-1115
  6. Kenny, T. C., et al. Internal Stability of Granular Filters, Can. Geotech. J, 3 (1985), 22, pp. 420-423
  7. Aberg, B., et al. Void Ratio of Noncohesive Soil and Similar Materials, Journal Geotechnical Engineering, ASCE, 9 (1992), 118, pp. 1315-1334
  8. Wu, J. Y., et al. The Length of Pre-existing Fissures Effects on the Mechanical Properties of Cracked Red Sandstone and Strength Design in Engineering, Ultrasonics, 1 (2018), 82, pp. 188-199
  9. Wu, J. Y., et al. Particle Size Distribution of Aggregate Effects on Mechanical and Structural Properties of Cemented Rockfill: Experiments and Modeling, Construction and Building Materials, 2 (2018), 193, pp. 295-311
  10. Jeyisanker, K., et al. Analysis of Water Seepage in a Pavement System Using the Particulate Approach, Computers and Geotechnics, 4 (2009), 36, pp. 641-654
  11. Navas, P., et al. Generalized Unconfined Seepage Flow Model Using Displacement Based Formulation, Engineering Geology, 8 (2013), 166, pp. 140-151
  12. Takahashi, H., et al. Stability of Caisson-type Breakwater Foundation Under Tsunami-induced Seepage, Soils and Foundations, 4 (2014), 54, pp. 789-805
  13. Wang, D. Y., et al. Simulation of Pipe Progression in a Levee Foundation with Coupled Seepage and Pipe Flow Domains, Soils and Foundations, 5 (2014), 54, pp. 974-984
  14. Cheng, K., et al. A Semi-resolved CFD-DEM Model for Seepage-induced Fine Particle Migration in Gap-graded Soils, Computers and Geotechnics, 2 (2018), 100, pp. 30-51
  15. Yang, X. J., et al. Fundamental Solutions of the General Fractional-order Diffusion Equations, Mathematical Methods in the Applied Sciences, 18 (2018), 41, pp. 9312-9320
  16. Yang, X. J., New Rheological Problems Involving General Fractional Derivatives with Nonsingular Power-law Kernels, Proceedings of the Romanian Academy Series A-Mathematics Physics Technical Sciences Information Science, 1 (2018), 19, pp. 45-52
  17. Yang, X. J., et al. A New Fractional Derivative Involving the Normalized Sinc Function Without Singular Kernel, European Physical Journal, s21 (2017), 226, pp. 3567-3575
  18. Yang, X. J., et al. Anomalous Diffusion Models with General Fractional Derivatives Within the Kernels of the Extended Mittag-leffler Type Functions, Romanian Reports in Physics, 4 (2017), 69, pp. 115
  19. Shi, Z. M., et al. Application of CFD-DEM to Investigate Seepage Characteristics of Landslide Dam Materials, Computers and Geotechnics, 2 (2018), 101, pp. 23-33
  20. Feng, M. M., et al. Experimental Investigation on Seepage Property of Saturated Broken Red Sandstone of Continuous Gradation, Bulletin of Engineering Geology and the Environment, 3(2018), 77, pp. 1167-1178

© 2022 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence