Study on the REV Size of Fractured Rock in the Non-Darcy Flow Based on the Dual-Porosity Model

Wang, Yuan; Niu, Yulong; Feng, Qiang

doi:10.1155/2018/7535927

Cited by 5 publications

(3 citation statements)

References 51 publications

(57 reference statements)

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“…However, in engineering, a high-velocity non-Darcy flow is more common in fractures. At this time, it is generally believed that it obeys Forchheimer's law [25,35,36]. The hydraulic gradient in the jth fracture can be expressed as…”

Section: High-velocity Non-darcy Flow In a Fracture Networkmentioning

confidence: 99%

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Seepage-Fractal Characteristics of Fractured Media Rock Materials Due to High-Velocity Non-Darcy Flow

et al. 2022

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Under the influence of internal and external factors, a fracture network is easily generated in concrete and rock, which seriously endangers project safety. Fractal theory can be used to describe the formation and development of the fracture network and characterize its structure. Based on the flow balance in the node balance field, Forchheimer’s law is introduced to derive the control equation of high-velocity non-Darcy flow in the fracture network. The fracture network is established according to the geological parameters of Sellafield, Cumbria, England. A total of 120 internal fracture networks are intercepted according to 10 dimensions (1 m, 2 m, …, 10 m) and 12 directions (0°, 30°, ..., 330°). The fractal dimension, equivalent hydraulic conductivity (K), and equivalent non-Darcy coefficient (β) of the fracture network are calculated, and the influence of the fractal dimension on K and β is studied. The results indicate that the fractal dimension of the fracture network has a size effect; with the increase in the size, the fractal dimension of the fracture network undergoes three stages: rapid increase, slow increase, and stabilization. In the rapid increase stage, K and β do not exist. In the slow increase stage, K exists and is stable, and β does not exist. In the stabilization stage, K and β both exist and are stable. The principal axes of the fitted seepage ellipses of K and β are orthogonal, and the main influencing factors are the direction and continuity of the fracture.

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Section: High-velocity Non-darcy Flow In a Fracture Networkmentioning

confidence: 99%

“…where K is the equivalent hydraulic conductivity reflecting the overall permeability of the fracture network. According to Forchheimer's law, the hydraulic gradient acting on the fracture network owing to the non-Darcy flow satisfies the following equation [35][36][37]:…”

Section: K and β Of A Fracture Networkmentioning

confidence: 99%

Seepage-Fractal Characteristics of Fractured Media Rock Materials Due to High-Velocity Non-Darcy Flow

et al. 2022

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“…14–17 At present, many small molecular fluorescent probes have been developed to detect ONOO − . 18–30 The design strategies of ONOO − sensors are generally based on strong nucleophilic and special chemical reactions initiated by ONOO − , including activation of ketones to dioxane, 31 oxidation of phenol derivatives, 32 conversion of boric acid to phenol, 33–35 aromatic nitration, 36 etc. However, due to structural similarities, there are still considerable challenges for the specific selectivity of ONOO − in biological systems.…”

Section: Introductionmentioning

confidence: 99%

A borate-based peroxynitrite fluorescent probe and its application in fluorescence imaging of living cells

et al. 2023

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An XFEM-based hydro-mechanical model to consider the non-Darcy flow in complex fracture networks

Zhou

Yang

Sui

et al. 2023

International Journal of Rock Mechanics and Mining Sciences

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Study on the REV Size of Fractured Rock in the Non-Darcy Flow Based on the Dual-Porosity Model

Cited by 5 publications

References 51 publications

Seepage-Fractal Characteristics of Fractured Media Rock Materials Due to High-Velocity Non-Darcy Flow

Seepage-Fractal Characteristics of Fractured Media Rock Materials Due to High-Velocity Non-Darcy Flow

A borate-based peroxynitrite fluorescent probe and its application in fluorescence imaging of living cells

An XFEM-based hydro-mechanical model to consider the non-Darcy flow in complex fracture networks

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