An Analytical Model for Water Inflow into a Karst Tunnel in Vuggy and Fractured Porous Rock Aquifers

Zhang, Shuai; Ye, Fei; Fu, Wei

doi:10.1061/(asce)gm.1943-5622.0002547

Cited by 9 publications

(1 citation statement)

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“…Under the influence of crustal movements, chemical dissolution, and hydraulic erosion, natural fractures typically undergo partial filling by porous medium (Liu et al., 2017; Song & Yanful, 2010, 2011; Sui et al., 2022). The nonlinear seepage problem in partially filled fractures is relevant to various current physical and engineering issues, such as tunnel water inrush (S. Zhang et al., 2022), seepage‐induced landslides (Tang et al., 2019), pollutant transport (Suri et al., 2020), oil and gas extraction (Bandara et al., 2020; Zheng et al., 2016), hydraulic structure failure (Crandall et al., 2010; Lei et al., 2017), CO 2 geological storage (Babadagli et al., 2015), and underground reservoir leakage (Cha et al., 2006; Rotevatn et al., 2013). The presence of filling medium alters the original preferential flow paths within fractures, thereby further affecting the nonlinear seepage characteristics (Q. Chen & Kinzelbach, 2002; Cheng et al., 2018; Khosravi et al., 2016; Olson et al., 2009; Shrivastava & Rao, 2017).…”

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confidence: 99%

Quantitative Evaluation of the Onset and Evolution for the Non‐Darcy Behavior of the Partially Filled Rough Fracture

Zhang,

Liu,

Wang

2024

Water Resources Research

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The non‐Darcy flow behavior in unfilled and fully filled rough fractures has been investigated thoroughly for decades. Natural fractures usually be partially filled with porous media due to long‐term internal and external dynamic disturbances and water flow erosion. However, how to evaluate the nonlinear seepage characteristics of the partially filled rough fracture (PFRF) is never scrutinized. In the present study, 2D direct numerical simulations are conducted to investigate the non‐Darcy behavior for flow through 6 PFRF models under different filling conditions (i.e., filling degree, roughness, and hydraulic conductivity capability of the filling medium), which included coupling between the free and seepage flow in the unfilled and filled region, respectively. The results show that the critical non‐Darcy factor E = 0.02 can be used to judge the onset of the non‐Darcy regime in PFRF, which is also the critical point of eddy region (ER) volume mutation. The higher the filling degree and the weaker the hydraulic conductivity of the filled medium, the more significant the non‐Darcy behavior. Furthermore, the variation of ER volume can be divided into three stages with the increasing inertia effect, that is, stable stage (E < 0.02), slow nonlinear growth stage (0.02 ≤ E ≤ 0.1), and rapid linear growth stage (E > 0.1). In addition, a new model for quantitatively evaluating the non‐Darcy behavior of PFRF is developed via gene expression programming based on 735 simulation data set, which is further employed to establish the relationship between the friction factor.

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