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Analytical solution for rainwater infiltration in monolithic soil covers under heavy rainfall and its implications for practice SCIE
期刊论文 | 2025 , 62 | CANADIAN GEOTECHNICAL JOURNAL
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Global warming has caused frequent occurrences of extreme rainfall events worldwide. Studying the rainwater infiltration in monolithic soil covers (MSCs) and associated slope stability under heavy rainfall presents practical significance for landfill management. This study established an analytical solution for rainwater infiltration in MSCs during heavy rainfall assuming that the soil hydraulic properties follow exponential forms. The analytical solution was used to calculate the factor of safety (FOS) of MSCs after the verification with numerical simulations. It is found that the FOS for the potential slip surface at the cover bottom remained the lowest during and after heavy rainfall. The percolation and FOS might present pronounced "lag effects", meaning that the maximum percolation rate and minimum FOS occurred after heavy rainfall. A parametric study was conducted to reveal the influencing factors on the hydraulic response and slope stability of MSCs based on the analytical solution. Relevant results demonstrate that the hydraulic performance and slope stability could be improved by decreasing soil saturated hydraulic conductivity, increasing soil desaturation coefficient, and lowering water level in landfills. The results also reveal the existence of a threshold of soil saturated hydraulic conductivity (1 x 10-8 m/s for this study) for controlling the hydraulic performance and slope stability of MSCs. Furthermore, the analytical solution was applied to determine the rainfall intensity-duration threshold curves of MSCs. The results indicate that the obtained curves of MSCs satisfied exponential forms. This study provides an effective tool and valuable guidance for the design and maintenance of MSCs.

Keyword :

analytical solution analytical solution heavy rainfall heavy rainfall monolithic soil cover monolithic soil cover rainwater infiltration rainwater infiltration slope stability slope stability

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GB/T 7714 Li, Guangyao , Liu, Zhaolong , Jiao, Weiguo et al. Analytical solution for rainwater infiltration in monolithic soil covers under heavy rainfall and its implications for practice [J]. | CANADIAN GEOTECHNICAL JOURNAL , 2025 , 62 .
MLA Li, Guangyao et al. "Analytical solution for rainwater infiltration in monolithic soil covers under heavy rainfall and its implications for practice" . | CANADIAN GEOTECHNICAL JOURNAL 62 (2025) .
APA Li, Guangyao , Liu, Zhaolong , Jiao, Weiguo , Feng, Song , Zhan, Liangtong , Du, Xiuli . Analytical solution for rainwater infiltration in monolithic soil covers under heavy rainfall and its implications for practice . | CANADIAN GEOTECHNICAL JOURNAL , 2025 , 62 .
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Numerical analysis and field experiments of a new drainage system with pressure valves for single shield TBM SCIE
期刊论文 | 2025 , 155 | TUNNELLING AND UNDERGROUND SPACE TECHNOLOGY
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Single shell segmental lining can withstand a maximum water head of about 50 m. If the water pressure exceeds this value, it is necessary to partially reduce groundwater pressure acting behind the tunnel lining.This paper presents a novel TBM tunnel drainage technology that employs adjustable pressure valves to regulate the volume of incoming water. This method not only reduces the impact of tunnel drainage on the surrounding groundwater environment but also effectively decreases the water pressure behind the lining, lowering the risk of structural damage and enhancing the load-bearing capacity of the lining. This represents an integration of prevention and drainage in the engineering concept of groundwater control.The study commenced with field experiments in the Daxiang Mountain Tunnel of the Fuzhou Intercity Railway, focusing on the effects of different drainage hole spacings and pressure valve settings on tunnel water inflow, pressure behind segmental linings, and strain on the linings' inner surfaces. A numerical model was subsequently constructed to compare and validate these field monitoring results, which demonstrated a high level of agreement. Finally, a parametric analysis was conducted, and the results indicate: (1) Although increasing the spacing between drainage holes effectively controls groundwater discharge, the resulting higher water gradient near these holes significantly increases bending moments at the foot of the side wall and invert of the lining, thus elevating the risk of structural disorders in the lining. (2) At segmental linings with drainage holes spaced at 3.6 m, the installation of pressure valves set to 400 kPa reduced the drainage volume from 2.18 m3/(D center dot m) to 1.56 m3/(D center dot m) compared to the full drainage scenario. This reduction satisfies the groundwater conservation requirements of the Daxiang Mountain area and significantly lowers the risk of structural damage to the lining caused by high water gradients near the drainage holes. Consequently, the load-bearing capacity of the segmental tunnel structure is effectively utilized. The research outcomes of this paper can offer guidance for the drainage countermeasure design in similar TBM tunnel projects.

Keyword :

Field Experiments Field Experiments Groundwater Inflow Groundwater Inflow Groundwater Pressure Relief Groundwater Pressure Relief Pressure Valve Pressure Valve Single shield TBM Single shield TBM

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GB/T 7714 Zeng, Yuan-Chi , Ji, Lu-Ling , Liu, Yu-Chuan et al. Numerical analysis and field experiments of a new drainage system with pressure valves for single shield TBM [J]. | TUNNELLING AND UNDERGROUND SPACE TECHNOLOGY , 2025 , 155 .
MLA Zeng, Yuan-Chi et al. "Numerical analysis and field experiments of a new drainage system with pressure valves for single shield TBM" . | TUNNELLING AND UNDERGROUND SPACE TECHNOLOGY 155 (2025) .
APA Zeng, Yuan-Chi , Ji, Lu-Ling , Liu, Yu-Chuan , Feng, S. . Numerical analysis and field experiments of a new drainage system with pressure valves for single shield TBM . | TUNNELLING AND UNDERGROUND SPACE TECHNOLOGY , 2025 , 155 .
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干湿循环下煤矸石土石混合体大型直剪试验研究
期刊论文 | 2025 , 44 (2) , 331-341 | 岩石力学与工程学报
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煤炭开挖和选煤过程中产生大量煤矸石,堆积于地表的煤矸石易受到环境的影响引发灾害.目前,干湿循环条件下煤矸石土石混合体的强度特性研究较少.通过大型直剪试验,探究干湿循环和含石量对煤矸石土石混合体强度特性的作用机制;揭示含石量(RP)和干湿循环次数对土石混合体积变化及相对破碎率(rB)的影响规律;建立干湿循环下土石混合体抗剪强度劣化方程.试验结果表明,随着含石量的提高,煤矸石土石混合体的内摩擦角呈现线性增加,而黏聚力则呈现出下降趋势;煤矸石土石混合体在剪切过程中呈现明显的剪切收缩现象;煤矸石土石混合体的剪切强度和法向应变最大值随着含石量的增加而增加,并随着干湿循环次数的增加而减小.首次干湿循环对土石混合体的抗剪强度劣化作用显著,3 次干湿循环后土石混合体抗剪强度变化不明显;干湿循环加剧了土石混合体中岩块的破碎趋势,提高岩块的 rB,导致土壤颗粒含量(粒径<5 mm)增加.高法向应力下(nσ=800 kPa),rB 随干湿循环次数增加而提高,而低法向应力下(nσ=200 kPa)干湿循环对岩块破碎影响有限.

Keyword :

剪切强度 剪切强度 土石混合体 土石混合体 岩石力学 岩石力学 干湿循环 干湿循环 煤矸石 煤矸石 相对破碎率 相对破碎率

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GB/T 7714 刘红位 , 游诗琪 , 简文彬 et al. 干湿循环下煤矸石土石混合体大型直剪试验研究 [J]. | 岩石力学与工程学报 , 2025 , 44 (2) : 331-341 .
MLA 刘红位 et al. "干湿循环下煤矸石土石混合体大型直剪试验研究" . | 岩石力学与工程学报 44 . 2 (2025) : 331-341 .
APA 刘红位 , 游诗琪 , 简文彬 , 黄云 , 冯嵩 , 邓涛 . 干湿循环下煤矸石土石混合体大型直剪试验研究 . | 岩石力学与工程学报 , 2025 , 44 (2) , 331-341 .
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Using global sensitivity analysis to quantify the uncertainty of root reinforcement in vegetated slope stability SCIE
期刊论文 | 2025 | PLANT AND SOIL
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AimsVariabilities of vegetation and soil cause uncertainty to the factor of safety (FoS) of unsaturated vegetated slopes, yet the significance of these variabilities on the uncertainty of FoS is unclear. This study aims to quantify the effect of the uncertainties of root reinforcement and soil hydromechanical properties to the uncertainty of the FoS.MethodsThe variance-based global sensitivity analysis was adopted to evaluate how the variance of FoS of vegetated slopes can be apportioned by the variabilities of soil and root parameters. A copula theory was applied to model the correlation amongst the parameters.ResultsFor slip depths shallower than 0.30 m, the major source of the variance of the FoS included the parameters that define root reinforcement, followed by the parameters of soil shear strength. The variation of transpiration-induced soil suction had limited effect on the FoS variance under heavy rainfall. Taking into account the correlations amongst the parameters had minor influence on their contribution to the variance of the FoS.ConclusionsWe observed threshold slip depths, where the relative contribution of uncertainties in root and soil parameters on the FoS uncertainty underwent a transition. Root reinforcement for slips as deep as 0.60 m can provide reliable slope stabilisation effects.

Keyword :

Global sensitivity analysis Global sensitivity analysis Reliability analysis Reliability analysis Slope stability Slope stability Soil bioengineering Soil bioengineering Uncertainty characterisation Uncertainty characterisation Vegetation Vegetation

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GB/T 7714 Xian, Jiantang , Zhu, Jun , Leung, Anthony Kwan et al. Using global sensitivity analysis to quantify the uncertainty of root reinforcement in vegetated slope stability [J]. | PLANT AND SOIL , 2025 .
MLA Xian, Jiantang et al. "Using global sensitivity analysis to quantify the uncertainty of root reinforcement in vegetated slope stability" . | PLANT AND SOIL (2025) .
APA Xian, Jiantang , Zhu, Jun , Leung, Anthony Kwan , Wu, Chenguang , Feng, Song , Zhang, Jie . Using global sensitivity analysis to quantify the uncertainty of root reinforcement in vegetated slope stability . | PLANT AND SOIL , 2025 .
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Numerical study of rainfall percolation through a novel capillary barrier cover with a zipper-shape interface between fine- and coarse-grained soils SCIE
期刊论文 | 2025 , 191 , 220-229 | WASTE MANAGEMENT
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The huge amount of leachate generated in landfills causes persistent pollution to soil and groundwater. Landfill cover is vital for reducing leachate generation through reducing rainwater infiltration. Yet, the traditional cover with capillary barrier effects (CCBE) is only applicable in reducing rainwater percolation at its base in arid or semi-arid region. To solve this problem, a novel capillary barrier cover is proposed, which adds multiple gravelsegments to the traditional CCBE to form the zipper-shape interface between fine- and coarse-grained soils. Hydraulic response of this zippered CCBE is numerically investigated considering different gravel-segment sizes, drainage-ditch widths and climate conditions. It is found that the zippered CCBE has a lower water percolation than the traditional one by up to 57 %. It is because the capillary barrier effects along the right side-wall of gravel-segment leads to water accumulation and hence water percolation near its base, facilitating reducing water percolation using drainage ditch below the gravel-segment. Moreover, water percolation increases when the gravel-segment height exceeds 0.3 times thickness of fine-grained soil or the gravel-segment width increases, due to reduction of water storage in fine-grained soil. Under the recorded annual precipitation of 1235 mm in the semi-humid region in China, the annual percolation of the traditional and zippered CCBEs are 84 mm/year and 36 mm/year, respectively. Thus, the zippered CCBE might extent the applicability of the traditional CCBE from arid or semi-arid region to semi-humid region.

Keyword :

Capillary barrier effects Capillary barrier effects Finite element Finite element Landfill cover Landfill cover Percolation Percolation Water movement Water movement Zipper-shape interface Zipper-shape interface

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GB/T 7714 Feng, Song , Zheng, Yahua , Liu, Hongwei et al. Numerical study of rainfall percolation through a novel capillary barrier cover with a zipper-shape interface between fine- and coarse-grained soils [J]. | WASTE MANAGEMENT , 2025 , 191 : 220-229 .
MLA Feng, Song et al. "Numerical study of rainfall percolation through a novel capillary barrier cover with a zipper-shape interface between fine- and coarse-grained soils" . | WASTE MANAGEMENT 191 (2025) : 220-229 .
APA Feng, Song , Zheng, Yahua , Liu, Hongwei , Li, Guangyao , Qian, Xin . Numerical study of rainfall percolation through a novel capillary barrier cover with a zipper-shape interface between fine- and coarse-grained soils . | WASTE MANAGEMENT , 2025 , 191 , 220-229 .
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Numerical investigation and optimal design of capillary barrier cover with passive gas collection pipes on the performance at limiting landfill gas emissions EI
期刊论文 | 2024 , 927 | Science of the Total Environment
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Relying solely on soil properties may not fully ensure the performance of capillary barrier covers at limiting landfill gas (LFG) emissions. This study proposed to install passive gas collection pipes in the coarse-grained soil layers of capillary barrier covers to enhance their performance at limiting LFG emissions. First, the LFG generation rate of municipal solid waste and its influencing factors were analyzed based on empirical formulas. This information provided necessary bottom boundary conditions for the analyses of LFG transport through capillary barrier covers with passive gas collection pipes (CBCPPs). Then, numerical simulations were conducted to investigate the LFG transport properties through CBCPPs and reveal relevant influencing factors. Finally, practical suggestions were proposed to optimize the design of CBCPPs. The results indicated that the maximum whole-site LFG generation rate occurred at the end of landfilling operation. The gas collection efficiency (E) of CBCPPs was mainly controlled by the ratio of the intrinsic permeability between the coarse- and fine-grained soil (K2/K1) and the laying spacing between gas collection pipes (D). E increased as K2/K1 increased but decreased as D increased. An empirical expression for estimating E based on K2/K1 and D was proposed. In practice, CBCPPs were supposed to be constructed once the landfilling operation finished. It is best to select the fine- and coarse-grained soils with K2/K1 exceeding 10,000 to construct CBCPPs. © 2024 Elsevier B.V.

Keyword :

Biogas Biogas Gas emissions Gas emissions Land fill Land fill Municipal solid waste Municipal solid waste Numerical models Numerical models Optimal systems Optimal systems Renewable energy Renewable energy Soils Soils

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GB/T 7714 Li, Guangyao , Liu, Sida , Jiao, Weiguo et al. Numerical investigation and optimal design of capillary barrier cover with passive gas collection pipes on the performance at limiting landfill gas emissions [J]. | Science of the Total Environment , 2024 , 927 .
MLA Li, Guangyao et al. "Numerical investigation and optimal design of capillary barrier cover with passive gas collection pipes on the performance at limiting landfill gas emissions" . | Science of the Total Environment 927 (2024) .
APA Li, Guangyao , Liu, Sida , Jiao, Weiguo , Feng, Song , Zhan, Liangtong , Chen, Yunmin . Numerical investigation and optimal design of capillary barrier cover with passive gas collection pipes on the performance at limiting landfill gas emissions . | Science of the Total Environment , 2024 , 927 .
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Experimental study of methane oxidation efficiency in three configurations of earthen landfill cover through soil column test EI
期刊论文 | 2024 , 190 , 370-381 | Waste Management
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Soil column tests were conducted to investigate methane oxidation efficiency in three configurations of earthen landfill cover under two drying stages separated by an applied rainfall, including the monolithic evapotranspiration (ET) cover, the cover with capillary barrier effect (CCBE) and the three-layer cover. Comprehensive measurements were also documented for water–gas response in soil for analyzing the experimental outcomes. The maximum methane oxidation efficiency of three-layer cover, monolithic ET cover, and CCBE were about 71 %, 62 % and 58 %, respectively. This was because the three-layer cover had the largest oxygen (O2) concentration in soil above depth of 400 mm, where methane oxidation mainly occurred. This was due to the good airtightness of the bottom hydraulic barrier layer, which led to the lowest air pressure above depth of 400 mm, thereby promoting the entry of atmospheric O2 into the soil. The monolithic ET cover generally had a larger methane oxidation efficiency than CCBE during the first drying stage by up to 12 %, while the trend reversed overall during the second drying stage, likely due to the enhanced air-tightness of CCBE caused by higher soil water content after rainfall induced by the capillary barrier effects. The methane oxidation efficiency for each landfill cover became lower by up to 30 % during the second drying stage than that during the first drying stage, owing to the higher water content during the second drying stage after rainfall, leading to a larger gas pressure and hence a lower O2 concentration at shallow soil. © 2024 Elsevier Ltd

Keyword :

Atmospheric pressure Atmospheric pressure Capillarity Capillarity Land fill Land fill Soil testing Soil testing Water content Water content

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GB/T 7714 Liu, H.W. , Huang, Y. , Feng, S. et al. Experimental study of methane oxidation efficiency in three configurations of earthen landfill cover through soil column test [J]. | Waste Management , 2024 , 190 : 370-381 .
MLA Liu, H.W. et al. "Experimental study of methane oxidation efficiency in three configurations of earthen landfill cover through soil column test" . | Waste Management 190 (2024) : 370-381 .
APA Liu, H.W. , Huang, Y. , Feng, S. , You, S.Q. , Hong, Y. , Shen, L.D. . Experimental study of methane oxidation efficiency in three configurations of earthen landfill cover through soil column test . | Waste Management , 2024 , 190 , 370-381 .
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Measurements of Drying and Wetting Gas Diffusion Coefficients and Gas Permeability of Unsaturated Soils Using a New Flexible-Wall Device Scopus
期刊论文 | 2024 , 150 (11) | Journal of Geotechnical and Geoenvironmental Engineering
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Wetting-drying cycles have a significant impact on the gas diffusion coefficient (Dp) and gas permeability (ka) of unsaturated soils. The soil volume change during wetting-drying cycles limits the application of the traditional rigid-wall device for measuring ka and Dp, due to the gas preferential flow along the interface between soil and the rigid-wall container. Although flexible-wall devices for measuring ka are available, no such device exists for measuring Dp. Thus, the effects of wetting-drying cycles on Dp remain unclear, particularly for fine-grained soil. The present study developed a flexible-wall device to investigate the effects of a wetting-drying cycle on the Dp and ka of unsaturated soils. Both the flexible- and rigid-wall devices were adopted to measure ka and Dp of three soil types, including fine sand, silt and kaolin. The rigid-wall device could overestimate ka by up to approximately one order of magnitude, whereas it overestimated Dp by approximately 2-3 times. Regardless of ka and Dp, the difference in measurements between the rigid- and flexible-wall devices became more significant at a lower water content and along the drying path because of the gas preferential flow caused by soil shrinkage in the rigid-wall device. Accordingly, the kaolin exhibited the largest difference in ka and Dp as measured by the flexible- and rigid-wall devices because it had the largest clay minerals and the finest particle size, resulting in the largest volume shrinkage. The ka and Dp measured by the flexible-wall device along the drying path were generally larger than those along the wetting path, probably because of entrapped gas in the soil caused by water spray during wetting. © 2024 American Society of Civil Engineers.

Keyword :

Gas transport Gas transport Measurement device Measurement device Soil texture Soil texture Soil volume change Soil volume change Wetting-drying cycles Wetting-drying cycles

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GB/T 7714 Liu, Y. , Feng, S. , Liu, H. . Measurements of Drying and Wetting Gas Diffusion Coefficients and Gas Permeability of Unsaturated Soils Using a New Flexible-Wall Device [J]. | Journal of Geotechnical and Geoenvironmental Engineering , 2024 , 150 (11) .
MLA Liu, Y. et al. "Measurements of Drying and Wetting Gas Diffusion Coefficients and Gas Permeability of Unsaturated Soils Using a New Flexible-Wall Device" . | Journal of Geotechnical and Geoenvironmental Engineering 150 . 11 (2024) .
APA Liu, Y. , Feng, S. , Liu, H. . Measurements of Drying and Wetting Gas Diffusion Coefficients and Gas Permeability of Unsaturated Soils Using a New Flexible-Wall Device . | Journal of Geotechnical and Geoenvironmental Engineering , 2024 , 150 (11) .
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Method and apparatus for measuring in-situ gas diffusion coefficient and permeability coefficient of unsaturated soils EI CSCD PKU
期刊论文 | 2024 , 46 (5) , 948-958 | Chinese Journal of Geotechnical Engineering
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The gas diffusion (Dg) and permeability (Kg) coefficients are the two important parameters for the study on gas transport in unsaturated soils. In the present study, the theory of calculating Dg and Kg for unsaturated soils under steady state is derived. Dg and Kg of unsaturated soils are determined based on the relationship between tracer gas concentration (C) and gas flow rate (q1) and that between pressure gradient (p) and gas flow rate (q2), respectively. A device for in-situ measurement of Dg and Kg in unsaturated soils is designed and developed. The soil column tests are conducted to measure Dg and Kg of unsaturated soils with different water contents. Thereafter, the element tests and numerical simulation analysis are used to verify the effectiveness of the new method and device. It is found that Dg and Kg obtained by the new method are in good agreement with the results of the element tests and numerical simulations. The results of the sensitivity analysis show that the measurement accuracy of Dg reduces as the soil water content decreases, while the measurement accuracy of Kg is independent of water content of soil. The measurement accuracies of both Dg and Kg decrease with the increase of the radius of the aeration bulb, but the measurement of Kg is more sensitive to the change of the radius. The measurement accuracy of Kg is about 55% of the true value, when the radius of the aeration bulb is 0.05 m. The soil anisotropy reduces the measurement accuracy; when the values of Dgv/Dgh and Kgv/Kgh is 0.1, the measurement accuracies of Dg and Kg can still reach more than 40%. © 2024 Chinese Society of Civil Engineering. All rights reserved.

Keyword :

Diffusion in gases Diffusion in gases Flow of gases Flow of gases Gases Gases Gas permeability Gas permeability Numerical methods Numerical methods Numerical models Numerical models Sensitivity analysis Sensitivity analysis Soil moisture Soil moisture Soil testing Soil testing

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GB/T 7714 Liu, Hongwei , Wang, Mengqi , Zhan, Liangtong et al. Method and apparatus for measuring in-situ gas diffusion coefficient and permeability coefficient of unsaturated soils [J]. | Chinese Journal of Geotechnical Engineering , 2024 , 46 (5) : 948-958 .
MLA Liu, Hongwei et al. "Method and apparatus for measuring in-situ gas diffusion coefficient and permeability coefficient of unsaturated soils" . | Chinese Journal of Geotechnical Engineering 46 . 5 (2024) : 948-958 .
APA Liu, Hongwei , Wang, Mengqi , Zhan, Liangtong , Feng, Song , Wu, Tao . Method and apparatus for measuring in-situ gas diffusion coefficient and permeability coefficient of unsaturated soils . | Chinese Journal of Geotechnical Engineering , 2024 , 46 (5) , 948-958 .
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一种原位测量非饱和土的气体扩散系数和渗透系数的方法与装置 CSCD PKU
期刊论文 | 2024 , 46 (05) , 948-958 | 岩土工程学报
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气体扩散系数D_g和渗透系数K_g是研究非饱和土中气体运移的两个重要参数。推导了稳态条件下,非饱和土中气体运移参数的计算理论。该理论基于示踪气体浓度C与气体流量q_1之间及压力梯度P与气体流量q_2之间的变化规律,分别确定非饱和土的D_g,K_g。依据推导的理论公式,设计并研制了一种原位测量非饱和土的D_g,K_g的装置。开展土柱试验,利用新装置测量非饱和土的D_g,K_g,并采用单元试验和数值模拟验证新方法和装置的有效性。研究表明新方法测量的非饱和土的D_g,K_g与单元试验及数值模拟结果吻合良好。基于数值模拟开展的敏感性分析结果揭示:D_g测量准确度随土体的质量含水率w减少而降低,而K_g的测量准确度受含水量的影响不显著;非饱和土的D_g,K_g的测量准确度均随着注气球半径增加而降低,但是注气球半径对K_g的测量准确度的影响更为显著,当注气球半径增加到0.05 m时,其准确度约为55%;土体各向异性降低测量准确度,当竖向与水平向的气体运移参数的比值D_(gv)/D_(gh)和K_(gv)/K_(gh)均为0.1时,D_g,K_g的测量准确度仍可达到40%以上。

Keyword :

原位测量装置 原位测量装置 数值模拟 数值模拟 气体扩散系数 气体扩散系数 气体渗透系数 气体渗透系数 非饱和土 非饱和土

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GB/T 7714 刘红位 , 王孟奇 , 詹良通 et al. 一种原位测量非饱和土的气体扩散系数和渗透系数的方法与装置 [J]. | 岩土工程学报 , 2024 , 46 (05) : 948-958 .
MLA 刘红位 et al. "一种原位测量非饱和土的气体扩散系数和渗透系数的方法与装置" . | 岩土工程学报 46 . 05 (2024) : 948-958 .
APA 刘红位 , 王孟奇 , 詹良通 , 冯嵩 , 吴涛 . 一种原位测量非饱和土的气体扩散系数和渗透系数的方法与装置 . | 岩土工程学报 , 2024 , 46 (05) , 948-958 .
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