A study on homogenization equations of fractal porous media

Wu, Mingyang; Liu, Jianjun; Lv, Xiangfeng; Shi, Di; Zhu, Zhengwen

doi:10.1088/1742-2140/aac4c1

Cited by 20 publications

(7 citation statements)

References 32 publications

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“…However, due to the complexity of soil, the real pore structure is di cult to be exhibited in numerical simulation. Studies have shown that the pore-size distributions in soil have strong fractal features, so they can be approximately simulated by the carpet model [34][35][36][37]. In this paper, based on the carpet model, the microscopic model of clay was established by ANSYS software, and the distribution law of microscopic stress on compaction process was simulated.…”

Section: Numerical Simulationmentioning

confidence: 99%

Numerical Simulation and Microscopic Stress Mechanism for the Microscopic Pore Deformation during Soil Compression

Tao

Peng

Xiao

et al. 2019

Advances in Civil Engineering

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Pore structure is closely related with strength, constitutive relation, consolidation characteristics, and permeability properties of soil. Consequently, improving the understanding of the relationship between microscopic structure and macroscopic physical and mechanical properties has extremely important scientific significance. A large number of studies have shown that pores of soil have fractal features, and hence, the carpet model can be used to approximately simulate the fractal structure of clay. In the present study, ANSYS software was selected to establish a microscopic model of clay to study the distribution of microscopic stress and microscopic deformation characteristics of pores under different consolidation pressures. Besides, the variation law of microscopic pore size was quantitatively determined by using IPP (Image-Pro Plus) software. Combined with the fractal theory, the changes of microscopic pore of numerical simulation and that of physical experiment during compression of clay are studied. All the results indicated that the microscopic stress distribution of clay is not uniform on the compaction process. The larger the pore size is, the bigger the compression stress on both sides and the greater the bending deformation of upper part of the pore is, which leads to the deformation of larger pores which is bigger than that of smaller pores. Based on the results, issues about the microscopic mechanism of the difference in vertical and horizontal permeability under compression of clay, the relationship between the changes of pore shape and microscopic stress, the preliminary principle of “preferential crush of larger particles” for granular soil, skeleton stress across the region where stiffness is relative larger, and the self-protection of particles and pores are also discussed. The results of this study are of great importance in understanding of soil compression and related physical and mechanical properties from the microscopic view.

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Section: Numerical Simulationmentioning

confidence: 99%

Numerical Simulation and Microscopic Stress Mechanism for the Microscopic Pore Deformation during Soil Compression

Tao

Peng

Xiao

et al. 2019

Advances in Civil Engineering

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“…Numerical calculation is regarded as the primary method to characterize porous composites, given the advantages of high efficiency, lower cost and high accuracy [28][29][30][31]. In particular, the numerical homogenization method is considered effective for obtaining the effective mechanical and macroscopic elastic behavioral response of materials [32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Fractal analysis of mechanical properties in folded graphene aerogels

Liu,

Li,

et al. 2024

Preprint

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Origami structures contributed to the design of composite materials with excellent mechanical properties. In our previous work, the GO sheet was folded through the coordination and electrostatic interaction among oxygen atoms and Cu2+. The folded graphene aerogel (fGA) was constructed with folded graphene oxide sheets (fGO). However, the effect of pore structure parameters on the mechanical properties of fGA was neglected. Therefore, based on fractal theory, the pore structure of fGA was parametrically quantified using the fractal dimension (Df) in this paper. The elastic behavior of fGA was investigated through the mean-field homogenization fractal model (MHFM). The results showed that the fGA elasticity property exhibited a non-linear decreasing trend as the Df increased. The fGA with abundant pore structures was constructed by fGO, and these pores were essential for the structural stabilization of the aerogels. The excellent mechanical properties were possessed in fGA. As the pore size distribution of fGA became uniform, the variation of its elastic properties tended to stabilize.

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“…The hydraulic conditions can be controlled in the laboratory tests or field tests, while the soil properties, especially the permeability and porosity, play a more important role in the seepage erosion process. Numerous models have been developed to predict the permeability of porous soil [21][22][23][24][25]. For example, assuming that the porous network is simplified down to a bundle of capillary channels, the Hagen-Poiseuille equation is proposed to calculate the seepage flow velocity in a capillary tube [4,13].…”

Section: Introductionmentioning

confidence: 99%

Fractal Characteristics of the Seepage Erosion Process in Porous Soil

Wang

Duan

et al. 2022

Geofluids

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Seepage-induced erosion in porous soil has always been a major concern in the field of geofluids. Various fractal models have been built to theoretically investigate the porosity and permeability coefficient. However, the seepage erosion process (i.e., incubation, formation, evolution, and destruction) in porous soil is not clearly demonstrated to clarify the seepage fractal characteristics. In this paper, a series of hydraulic tests were performed to reveal the mass fractal characteristics of sandy gravels, coarse-grained sands, and fine-grained sands in the seepage erosion process. The results show that the mass fractal dimension was appropriate to describe the cumulative mass distribution of particles, the complexity of pore networks, and the dynamic changes of the seepage erosion process. Moreover, the scale-invariant interval, as an essential precondition for the accurate calculation of the mass fractal dimension, was to some extent affected by the average grain size and the fine content of porous soil. In particular, the changing trend of porosity and permeability coefficient with the mass fractal dimension was demonstrated in the seepage erosion process. Both porosity and permeability coefficients indicated an increasing trend as the development of seepage erosion. However, the mass fractal dimension gradually decreased due to the removal of fine particles induced by seepage flow water. Research findings will not only provide a new perspective on the seepage erosion mechanism but also predict the development of the seepage erosion process in engineering practice.

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A study on homogenization equations of fractal porous media

Cited by 20 publications

References 32 publications

Numerical Simulation and Microscopic Stress Mechanism for the Microscopic Pore Deformation during Soil Compression

Numerical Simulation and Microscopic Stress Mechanism for the Microscopic Pore Deformation during Soil Compression

Fractal analysis of mechanical properties in folded graphene aerogels

Fractal Characteristics of the Seepage Erosion Process in Porous Soil

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