Abstract
This paper introduces the development of a dynamic seepage network method (DSN) within a two-dimensional discontinuous deformation analysis (2D-DDA) framework. The primary goal is to identify actual fractures and seepage spaces, establish a seepage network, and automatically compute hydraulic water pressure within blocky systems. In addition, a new coupled dynamic hydromechanical model (DDA–DSN) is proposed to investigate seepage behavior in time-varying fractured rock masses. The DSN method tracks fracture propagation between blocks during seepage flow, while the DDA component characterizes the translation, rotation, and deformation of arbitrarily formed blocks. The paper covers fundamental theories, the determination of neighboring non-contact block pairs, the creation of seepage networks, hydraulic pressure calculations, and the integration of DDA and DSN in detail. Furthermore, the validity of the coupled DDA–DSN hydromechanical model is confirmed by comparing numerical results with experimental measurements. These results highlight the model’s effectiveness in capturing fluid flow behavior within fractured rock masses, emphasizing the exceptional capabilities of DSN in identifying seepage spaces, constructing seepage networks, and automatically computing hydraulic pressure. Overall, this proposed model holds significant promise for addressing engineering challenges related to seepage flow behavior inner the rock masses.
Highlights
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Developed a new algorithm for identifying the real fractures, forming the seepage pathways, and calculating the hydraulic water pressure on blocks automatically in 2D-DDA.
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Proposed a new coupled DDA–DSN model to investigate the seepage behavior in time-varying fractured rock mass systems.
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Checked validity of the DDA–DSN model by contrasting several numerical findings with experimental measurements.
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Abbreviations
- Q :
-
Flow rate of a single fracture
- ρ :
-
Fluid density
- g :
-
Gravity acceleration
- μ :
-
Dynamic viscosity coefficient of the fluid
- e :
-
Equivalent aperture of a single fracture
- L :
-
Equivalent length of a single fracture
- p i :
-
Hydraulic pressures at the ends of a single fracture
- H i :
-
Piezometric head at the ends of a single fracture
- ∆R :
-
Characteristic parameter of a single fracture, and
- ∆H :
-
Piezometric head loss between the two ends of a single fracture
- r :
-
Minimum contact distance
- t :
-
Proportionality coefficient
- [R]:
-
Fracture network characteristic matrix related to the nature of single fractures
- [Q]:
-
Flow-rate matrix of single fractures
- [H]:
-
Equivalent total head matrix at the intersections
- γ w :
-
Unit weight
- y :
-
Coordinates of endpoints of single fractures in the vertical direction
- e 0 :
-
Critical aperture of single fractures
- d :
-
Shortest distance of two neighboring blocks
- d ri :
-
Deformation component of block i
- e a , b :
-
Widths at endpoints of a single fracture
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Acknowledgements
This work was financially supported by the National Natural Science Foundation of China (Grant nos. 52108344, 41977213 and 52278372), National Ten Thousand Talent Program for Young Top-notch Talents, Young Elite Scientists Sponsorship Program by CAST (Grant no. 2021QNRC001), and China Road & Bridge Corporation (Grant no. P220447).
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YZ: supervision and funding acquisition; BH: conceptualization, software, writing; JZ: formal analysis, software; PY: review, supervision, and funding acquisition.
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Zhang, Y., Hu, B., Zhang, J. et al. Dynamic Coupled Hydromechanical Approach for Fractured Rock Mass Seepage Using Two-Dimensional Discontinuous Deformation Analysis. Rock Mech Rock Eng 57, 3315–3328 (2024). https://doi.org/10.1007/s00603-023-03731-3
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DOI: https://doi.org/10.1007/s00603-023-03731-3