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Yang S, Wang M, Zheng S, Zeng S, Gao L. Fractal Permeability Model of Newtonian Fluids in Rough Fractured Dual Porous Media. MATERIALS 2022; 15:ma15134662. [PMID: 35806785 PMCID: PMC9267932 DOI: 10.3390/ma15134662] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 06/02/2022] [Revised: 06/28/2022] [Accepted: 06/29/2022] [Indexed: 11/16/2022]
Abstract
Based on the statistical self-similar fractal characteristics of the microstructure of porous media, the total flow rate and permeability of Newtonian fluids in the rough fracture network and rough matrix pores are derived, respectively. According to the connection structure between fractures and pores, the permeability analysis model of fluids in a matrix-embedded fracture network is established. The comparison between the predicted values of the model and the experimental data shows that the predicted values of the permeability of the rough fracture network and the rough matrix pores decrease with the increase in the relative roughness of the fractures and matrix pores, and are lower than the experimental data. Meanwhile, the predicted total flow rate of a rough fractured dual porous media is lower than that of a smooth fractal model and experimental data. In addition, it is also found that the larger the average inclination angle and the relative roughness of the fracture network, the smaller the permeability of the fractured dual porous media, and the relative roughness of the fracture network has a far greater influence on fluid permeability in the fractured dual porous media than the relative roughness of the matrix pores.
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Affiliation(s)
- Shanshan Yang
- Three Gorges Mathematical Research Center, China Three Gorges University, Yichang 443002, China; (M.W.); (S.Z.); (L.G.)
- College of Science, China Three Gorges University, Yichang 443002, China;
- Correspondence:
| | - Mengying Wang
- Three Gorges Mathematical Research Center, China Three Gorges University, Yichang 443002, China; (M.W.); (S.Z.); (L.G.)
- College of Science, China Three Gorges University, Yichang 443002, China;
| | - Sheng Zheng
- Three Gorges Mathematical Research Center, China Three Gorges University, Yichang 443002, China; (M.W.); (S.Z.); (L.G.)
- College of Science, China Three Gorges University, Yichang 443002, China;
| | - Shuguang Zeng
- College of Science, China Three Gorges University, Yichang 443002, China;
| | - Ling Gao
- Three Gorges Mathematical Research Center, China Three Gorges University, Yichang 443002, China; (M.W.); (S.Z.); (L.G.)
- College of Science, China Three Gorges University, Yichang 443002, China;
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Investigation and Application of Fractal Theory in Cement-Based Materials: A Review. FRACTAL AND FRACTIONAL 2021. [DOI: 10.3390/fractalfract5040247] [Citation(s) in RCA: 46] [Impact Index Per Article: 15.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/05/2023]
Abstract
Cement-based materials, including cement and concrete, are the most widely used construction materials in the world. In recent years, the investigation and application of fractal theory in cement-based materials have attracted a large amount of attention worldwide. The microstructures of cement-based materials, such as the pore structures, the mesostructures, such as air voids, and the morphological features of powders, as well as the fracture surfaces and cracks, commonly present extremely complex and irregular characteristics that are difficult to describe in terms of geometry but that can be studied by fractal theory. This paper summarizes the latest progress in the investigation and application of fractal theory in cement-based materials. Firstly, this paper summarizes the principles and classification of the seven fractal dimensions commonly used in cement-based materials. These fractal dimensions have different physical meanings since they are obtained from various testing techniques and fractal models. Then, the testing techniques and fractal models for testing and calculating these fractal dimensions are introduced and analyzed individually, such as the mercury intrusion porosimeter (MIP), nitrogen adsorption/desorption (NAD), and Zhang’s model, Neimark’s model, etc. Finally, the applications of these fractal dimensions in investigating the macroproperties of cement-based materials are summarized and discussed. These properties mainly include the mechanical properties, volumetric stability, durability (e.g., permeability, frost and corrosion resistance), fracture mechanics, as well as the evaluation of the pozzolanic reactivity of the mineral materials and the dispersion state of the powders.
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Rao B, Pang H, Fan F, Zhang J, Xu P, Qiu S, Wu X, Lu X, Zhu J, Wang G, Su J. Pore-scale model and dewatering performance of municipal sludge by ultrahigh pressurized electro-dewatering with constant voltage gradient. WATER RESEARCH 2021; 189:116611. [PMID: 33221587 DOI: 10.1016/j.watres.2020.116611] [Citation(s) in RCA: 12] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/22/2020] [Revised: 11/03/2020] [Accepted: 11/05/2020] [Indexed: 06/11/2023]
Abstract
The disposal of huge municipal sludge with high moisture content has led to numerous energy consumption and brought extensive concerns in the world. In this paper, three dewatering modes, ultrahigh-pressure mechanical dewatering mode (UMDW), pressurized electro-dewatering (PEDW) with constant voltage mode (U-PEDW) and constant voltage gradient mode (G-PEDW) were performed on a self-designed pressurized electro-dewatering apparatus for municipal sludge. The pore structures and moisture distributions were detected by low-field nuclear magnetic resonance technology. Meanwhile, the moisture distributions and quantitative bound strength were analyzed by the thermogravimetric differential scanning calorimetry test. Moreover, a pore-scale electro-osmosis model was accordingly developed based on the fractal characteristics of pore size distribution. Finally, the effect of dewatering modes and operating parameters on moisture content and energy consumption were examined in detail. The results indicate that the pore-scale electro-osmosis model show good consistency with experimental data. The electric field can drive the middle-layers-water to overcome the capillary pressure, and make G-PEDW removing more water than UMDW. The moisture content of dewatered municipal sludge by G-PEDW and U-PEDW reaches to 28.41% and 27.33%, respectively. Furthermore, the energy consumption of G-PEDW is 189.62Wh/kg.H2O, it is much lower than that of U-PEDW. Therefore, the G-PEDW mode with low moisture content and less energy consumption indicates best dewatering performance compared with UMDW and U-PEDW modes. The present work is helpful to understand the dewatering mechanisms of G-PEDW and provides useful guidelines for G-PEDW dewatering technology.
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Affiliation(s)
- Binqi Rao
- College of Mechanical and Electrical Engineering, China Jiliang University, Hangzhou, 310018, PR China.
| | - Hongru Pang
- College of Mechanical and Electrical Engineering, China Jiliang University, Hangzhou, 310018, PR China
| | - Feibiao Fan
- Zhejiang Chunhui Environmental Protection Energy Co., Ltd, Shaoxing, 312300, PR China
| | - Jicheng Zhang
- College of Mechanical and Electrical Engineering, China Jiliang University, Hangzhou, 310018, PR China
| | - Peng Xu
- College of Science, China Jiliang University, Hangzhou, 310018, PR China.
| | - Shuxia Qiu
- College of Science, China Jiliang University, Hangzhou, 310018, PR China
| | - Xu Wu
- School of Environmental Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, PR China
| | - Xilong Lu
- College of Mechanical and Electrical Engineering, China Jiliang University, Hangzhou, 310018, PR China
| | - Jianwei Zhu
- School of Mechatronics and Automobile Engineering, Huzhou Vocational & Technical College, Huzhou 313000, PR China
| | - Gongqin Wang
- College of Mechanical and Electrical Engineering, China Jiliang University, Hangzhou, 310018, PR China
| | - Jiangge Su
- College of Mechanical and Electrical Engineering, China Jiliang University, Hangzhou, 310018, PR China
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Electroosmotic Coupling in Porous Media, a New Model Based on a Fractal Upscaling Procedure. Transp Porous Media 2020. [DOI: 10.1007/s11242-020-01444-7] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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