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1.
在考虑软黏土流变特性的基础上,结合工程实际,引入连续排水边界条件,建立了变荷载下连续排水边界黏弹性地基一维固结模型。通过分离变量法与常数变易法,求得了变荷载作用及连续排水边界条件下的饱和软黏土一维固结模型的解析解,进一步研究了透水边界条件和土体参数对超孔隙水压力、有效应力的影响。研究结果表明:上下边界透水性的不同会直接影响超孔隙水压力的变化;越靠近透水性大的边界处的土体固结速度越快,且随着其离排水边界的距离减小,对固结速度的影响逐渐增大;另外,软土层的渗透系数、Kelvin体弹簧的弹性模量和黏滞系数等对土颗粒间的有效应力影响较大。  相似文献   

2.
本文在考虑软黏土流变特性的基础上,结合工程实际,引入连续排水边界条件,建立了变荷载下连续排水边界粘弹性地基一维固结模型。通过分离变量法与常数变易法,求得了变荷载作用及连续排水边界条件下的饱和软黏土一维固结模型的解析解,进一步研究了透水边界条件和土体参数对超孔隙水压力、有效应力的影响。研究结果表明:上下边界透水性的不同会直接影响超孔隙水压力的变化;越靠近透水性大的边界处的土体固结速度越快,且随着其离排水边界的距离减小,对固结速度的影响逐渐增大;另外,软土层的渗透系数、Kelvin体弹簧的弹性模量和黏滞系数等对土颗粒间的有效应力影响较大。  相似文献   

3.
本文在考虑软黏土流变特性的基础上,结合工程实际,引入连续排水边界条件,建立了变荷载下连续排水边界粘弹性地基一维固结模型。通过分离变量法与常数变易法,求得了变荷载作用及连续排水边界条件下的饱和软黏土一维固结模型的解析解,进一步研究了透水边界条件和土体参数对超孔隙水压力、有效应力的影响。研究结果表明:上下边界透水性的不同会直接影响超孔隙水压力的变化;越靠近透水性大的边界处的土体固结速度越快,且随着其离排水边界的距离减小,对固结速度的影响逐渐增大;另外,软土层的渗透系数、Kelvin体弹簧的弹性模量和黏滞系数等对土颗粒间的有效应力影响较大。  相似文献   

4.
田乙  吴文兵  蒋国盛  梅国雄  徐宝军 《岩土力学》2019,(8):3054-3061,3070
采用分数阶Kelvin模型来描述饱和土体的流变特性,在连续排水边界条件下,利用Laplace变换推导出变换域内的饱和土体一维固结解析解,再通过Crump法对有效应力和固结沉降进行数值反演,得到了分数阶导数黏弹性饱和土体的一维固结半解析解。将连续排水边界退化到Terzaghi排水边界,退化后的结果与已有文献一致,验证了所得半解析解的可靠性。最后,基于所得解,分析了相关参数对土体固结的影响。结果表明,界面参数反映排水边界的透水性,从而影响土体中超孔隙水压力的消散速率;黏滞系数在固结后期对沉降发展影响较大,其值越大,沉降发展越慢;当阶次a不为零时,分数阶次越小,土体表现出的黏滞性越强,整体固结沉降发展越缓慢,次固结沉降发展也越缓慢。  相似文献   

5.
土体往往具有非线性压缩特性,不同压缩特性下土体的固结规律存在差异。综合考虑土体非线性特性、变荷载作用以及连续排水边界条件建立了一维固结方程。采用无条件稳定的有限差分法和半解析法对固结方程进行了求解,两种解答方法的可靠性通过连续排水边界条件退化以及两种解答结果对比得到验证。在有限差分法解答的基础上,详细分析了界面参数、荷载参数以及非线性参数对土体固结的影响。结果表明:连续排水边界的界面参数取值越大,则超静孔隙水消散速率及土体沉降速率越大,但界面参数取值对最终沉降量没有影响;超静孔隙水压力在加载阶段逐渐增大,在恒载阶段逐渐消散;加载速率越大,则超静孔隙水压力峰值越大,并且土体固结速率越快,说明延长施工周期有利于降低超静孔隙水压力的影响;工程中要准确预测土体固结速率绝非易事,采用固结理论预测时需保证土体模型、边界条件以及土体计算参数等因素的准确性。  相似文献   

6.
底部抽真空预压法砂井地基固结解析解   总被引:1,自引:0,他引:1  
张福海  陈雷  郭帅杰  任朋勋 《岩土力学》2014,35(10):2787-2793
基于谢康和等应变条件砂井地基固结理论和Hansbo砂井固结理论,考虑底部抽真空预压法加固方法中真空作用面位于固结土层底部的实际边界条件,推导出忽略竖向渗流情况下的底部真空预压加固地基固结方程解析解答。根据超孔压固结方程形成过程以及其解析解表达式,分析其与一般负压径向固结解答的区别。通过室内模型试验实测数据与解析模型计算结果的对比表明,不同位置处孔压和固结度计算值与实测结果吻合较好,从而验证了该模型的合理性,同时运用该模型也可有效验证已有关于底部抽真空室内模拟及现场原位试验结果。底部抽真空轴对称固结解析解可为底部抽真空技术的实际工程应用提供基础性的理论支持,推动底部抽真空技术的大规模推广应用。  相似文献   

7.
为揭示中、高龄期城市固体废弃物(MSW)的力学特性,通过向石英砂、高岭土混合物中加入不同质量比的草炭人工配制模型固废试样,开展了三轴固结排水剪切和固结不排水剪切试验研究。试验结果表明,中高龄期模型固废均表现出持续硬化的应力应变特性,固结排水试验中中龄期模型固废的体变略大于高龄期,固结不排水试验中高龄期模型固废的孔压略高于中龄期。采用15%轴向应变对应的剪应力描述其抗剪强度,并根据Skempton有效应力原理,通过对比固结排水试验和固结不排水试验结果,得出了固废的孔隙水压力折减系数和抗剪强度参数,孔隙水压力折减系数随龄期增加而增大,高龄期模型固废得到的黏聚力低于中龄期,高龄期固废得到的内摩擦角则高于中龄期。  相似文献   

8.
循环荷载下半透水边界土层一维固结解析解   总被引:2,自引:0,他引:2  
李西斌  谢康和 《岩土力学》2005,26(1):155-159
研究了在循环荷载作用下具有双面半透水边界的饱和粘土层的一维固结问题。根据瞬时加载条件下的解答,采用积分方法得到了循环荷载条件下的解析解。根据解析解的结果,通过计算分析了边界条件和加载条件对土体固结过程的影响,可知:砂垫层和下卧层的渗透性减小会明显减缓固结过程;在循环荷载的一个周期内,孔压和固结度都会达到最大值和最小值各一次。  相似文献   

9.
假设桩周土体为饱和黏弹性介质,采用Burgers流变模型进行描述,同时考虑竖向和径向固结,建立了固结控制方程。根据不排水和自由排水情况,将边界条件分为3类并分别得到超孔隙水压力消散的级数解答,该解答能够为孔压静力触探反求固结系数提供一定的理论依据。在此基础上编制了应用程序,对Burgers流变模型中主要参数进行了分析。结果表明,地基表面自由排水、桩端地基不排水条件下,在一定深度以内的桩周土体的固结速度随深度降低,但超过某一范围后固结速度趋于稳定;上、下边界均自由排水条件下,固结速度随深度增加呈现下降、稳定、升高;上、下边界均不排水条件时,孔压消散速度不随深度变化,可简化为本解答仅考虑径向固结的特例。同时土体的流变特性对超孔隙水压力消散的影响比较显著,流变参数G1/1的变化使超孔隙水压力趋于某不为0的定值,且该值随G1/1比值的增大而增加;其他参数不变时,土体剪切刚度比G1/G2的增大会引起孔压消散速度的下降。  相似文献   

10.
针对含水平排水砂垫层地基的固结问题,建立了线性加载下夹砂垫层地基的二维固结模型,并通过边界转换法、积分变换法给出了相应的半解析解。在通过对解答的退化以及数值法验证半解析解正确性的基础上,分析了砂垫层与地基土的几何及物理参数对地基固结的影响。研究表明:对于地基土,地基固结速率随土体水平渗透系数增大而提高,随地基宽度的增大而降低;对于砂垫层,固结速率随砂垫层厚度、水平渗透系数的增大而提高;对于外荷载,加荷速率越快,孔压达到峰值所需时间也越短,地基固结速率亦随之提高。此外,以地基顶面砂垫层为例,综合考虑砂垫层的渗透系数与厚度对砂垫层透水性的影响,当组合参数 时( 、 、 、 分别为砂垫层厚度、水平渗透系数、土体宽度和竖向渗透系数),砂垫层近似为完全排水边界。  相似文献   

11.
In engineering practice, a rapid loading rate can result in ground failure when the strength of soft soils is relatively low, and a multistage loading scheme is always utilized to deal with this situation. Firstly, under a multistage load and the continuous drainage boundary, an analytical solution of excess pore-water pressure and consolidation degree is obtained by virtue of the superposition formula of excess pore-water pressure, and a more general continuous drainage boundary under arbitrary time-dependent load is developed. Then, a comparison with existing analytical solutions is conducted to verify the present solution. A preliminary attempt on applying the continuous drainage boundary into the finite element model is made, and the feasibility of the numerical model for the one-dimensional consolidation under the continuous drainage boundary is verified by comparing the results calculated by FEM with that from present analytical solution. Finally, the consolidation behavior of soil is investigated in detail for different int erface parameters or loading scheme. The results show that, in land reclamation projects, a horizontal drain should be placed close to the boundary with a smaller interface parameter to improve the consolidation efficiency. The degree of consolidation is also related to the applied time-dependent load and interface parameters.  相似文献   

12.
Prediction of long‐term settlement and control of gas pollution to the environment are two principle concerns during the management of municipal solid waste (MSW) landfills. The behavior of settlement and gas flow in MSW landfills is complicated due to the combined effect of mechanical deformation of the solid skeleton and continuous biodegradation of the waste. A one‐dimensional settlement and gas flow model is presented in this paper, which is capable of predicting time evolution of settlement as well as temporal and spatial distribution of gas pressure within multi‐layered landfills under a variety of operating scenarios. The analytical solution to the novel model is evaluated with numerical simulation and field measurements. The resulting efficiency and accuracy highlight the capability of the proposed model to reproduce the settlement behavior and gas flow in MSW landfills. The influences of operating conditions and waste properties on settlement and gas pressure are examined for typical MSW landfills. Copyright © 2009 John Wiley & Sons, Ltd.  相似文献   

13.
In bioreactor landfills, different configurations of closely spaced horizontal trench (HT) systems are often considered as leachate recirculation systems to achieve uniform and rapid distribution of moisture in municipal solid waste (MSW). In this study, a numerical two-phase flow modelling was adopted to study the effects of geometric configuration of HT systems on the moisture distribution in MSW, and the stability of a simplified bioreactor landfill slope during continuous and intermittent leachate recirculation. Transient variations in pore water and capillary pressures in MSW were assessed, and slope stability analyses were performed using strength reduction technique. MSW was considered as heterogeneous and anisotropic with varied unit weight and saturated hydraulic conductivity. The results demonstrated that geometric configurations of HT systems significantly affected the moisture distribution, generation and distribution of pore water and capillary pressures in MSW, and considerably influenced the mechanical stability of bioreactor landfill slope. It was concluded that staggered configuration of closely spaced HT systems with intermittent sequences of leachate recirculation and subsequent gravity drainage in alternate shallow and deep HT layers should be adopted as they produce uniform moisture distribution and ensure the mechanical stability of landfill slope due to low induced pore pressures near side slope. Overall, this study presents a significant contribution to the understanding of the basic mechanisms controlling the geotechnical stability of bioreactor landfills during leachate operations. Furthermore, the capability of the adopted commercial code was verified with complexities related to bioreactors behaviour. However, further research is needed to validate the model based on field monitoring data at actual bioreactor landfills.  相似文献   

14.
扩建城市垃圾填埋场的地震稳定性分析   总被引:1,自引:0,他引:1  
朱斌  陈云敏  柯瀚 《岩土力学》2008,29(6):1483-1488
结合现场剪切波速试验、室内常规及动三轴试验结果,给出了扩建城市垃圾填埋场地震稳定性的有限元分析方法,并分析了扩建垃圾填埋体沿填埋体内部圆弧滑动面、新老填埋体交界面及底部和背部衬垫系统的地震稳定性。当填埋场中渗滤液水头较低时,扩建填埋体最易发生沿新老填埋体交界面的滑动。与总应力法计算结果相比较发现,总应力法只适合分析输入地震动较小的情况,而当输入地震动较大时,由于它不能考虑动孔压上升所导致的MSW软化而使得其计算的扩建填埋体沿圆弧滑动面的安全系数偏保守。另外,采用Newmark法分析了不同输入地震动时不同横、竖向扩建方案的永久位移,分析表明:扩建填埋体沿新老填埋体交界面的地震永久位移的对数近似与屈服加速度同最大水平加速度的比值呈线性关系,并给出了其永久位移的拟合公式。  相似文献   

15.
This paper presents a simple analytical solution to Fredlund and Hasan's one‐dimensional (1‐D) consolidation theory for unsaturated soils. The coefficients of permeability and volume change for unsaturated soils are assumed to remain constant throughout the consolidation process. The mathematical expression of the present solution is much simpler compared with the previous available solutions in the literature. Two new variables are introduced to transform the two coupled governing equations of pore‐water and pore‐air pressures into an equivalent set of partial differential equations, which are easily solved with standard mathematical formulas. It is shown that the present analytical solution can be degenerated into that of Terzaghi consolidation for fully saturated condition. The analytical solutions to 1‐D consolidation of an unsaturated soil subjected to instantaneous loading, ramp loading, and exponential loading, for different drainage conditions and initial pore pressure conditions, are summarized in tables for ease of use by practical engineers. In the case studies, the analytical results show good agreement with the available analytical solution in the literature. The consolidation behaviors of unsaturated soils are investigated. The average degree of consolidation at different loading patterns and drainage conditions is presented. The pore‐water pressure isochrones for two different drainage conditions and three initial pore pressure distributions are presented and discussed. Copyright © 2013 John Wiley & Sons, Ltd.  相似文献   

16.
江文豪  李江山  黄啸  程鑫  万勇 《岩土力学》2022,43(10):2744-2756
温度的变化会导致土体的物理力学性质改变,且在一些实际工程中,饱和黏土会处于非等温分布状态。为此,针对非等温分布条件下饱和黏土的一维固结问题,考虑了更具普遍性的半透水边界,通过某些假定推导了单级线性加荷形式下饱和黏土一维固结控制方程,并利用分离变量法求解得到了控制方程的解析解。通过将所提解析解分别与已有解析解和有限差分解展开对比分析,验证了所提解答的正确性。基于所提解析解,利用某一算例分析了温度梯度、半透水边界参数及加荷时间对固结性状的影响。结果表明:温度梯度 M 越大,土体的渗透性越大,土体的固结速率越快;半透水边界参数 R1和 R2越大,相同时间内土体的超孔隙水压力越小,土体的平均固结度越大;土体的平均固结度随加荷时间 tc 的增大而减小,这主要是由于加荷阶段所施加的外荷载小于最终荷载,但加荷时间tc的延长可一定程度减小土体中产生的最大超孔隙水压力。  相似文献   

17.
This paper introduces an exact analytical solution for governing flow equations for one‐dimensional consolidation in unsaturated soil stratum using the techniques of eigenfunction expansion and Laplace transformation. The homogeneous boundary conditions adopted in this study are as follows: (i) a one‐way drainage system of homogenous soils, in which the top surface is considered as permeable to air and water, whereas the base is an impervious bedrock; and (ii) a two‐way drainage system where both soil ends allow free dissipation of pore‐air and pore‐water pressures. In addition, the analytical development adopts initial conditions capturing both uniform and linear distributions of the initial excess pore pressures within the soil stratum. Eigenfunctions and eigenvalues are parts of the general solution and can be obtained based on the proposed boundary conditions. Besides, the Laplace transform method is adopted to solve the first‐order differential equations. Once equations with transformed domain are all obtained, the final solutions, which are proposed to be functions of time and depth, can be achieved by taking an inverse Laplace transform. To verify the proposed solution, two worked examples are provided to present the consolidation characteristics of unsaturated soils based on the proposed method. The validation of the recent results against other existing analytical solutions is graphically demonstrated. Copyright © 2013 John Wiley & Sons, Ltd.  相似文献   

18.
This paper presents semi-analytical solutions to Fredlund and Hasan’s one-dimensional consolidation for unsaturated soils under symmetric semi-permeable drainage boundary conditions. Two variables are introduced to transform two coupled governing equations of pore-air and pore-water pressures into an equivalent set of partial differential equations, which are easily solved by the Laplace transform. Then, the pore-air and pore-water pressures, and soil settlement are obtained in the Laplace domain. Crump’s method is adopted to perform the inverse Laplace transform in order to obtain semi-analytical solutions in time domain. It is shown that the present solution is more applicable to various types of drainage boundary conditions, and in a good agreement with existing solutions from the literature. Furthermore, several numerical examples are provided to investigate the consolidation behavior of an unsaturated single-layer soil with traditional drainage boundary (single or double), and single-sided and double-sided semi-permeable drainage boundaries. Finally, it illustrates the changes in pore-air and pore-water pressures and soil settlement with time at different values of symmetric semi-permeable drainage boundary conditions parameters. In addition, parametric studies are conducted by the variations of pore-air and pore-water pressures at different ratios of air-water permeability coefficient and the depth.  相似文献   

19.
根据水位条件、施工工艺和防排水设计原则将隧道渗流计算围岩透水边界条件大致划分为4种类型,并分析了不同透水边界条件适应的施工工况。基于复变函数理论和保角映射方法,推导得出4种透水边界条件下隧道围岩内任一点孔隙水压力和隧道涌水量解析计算公式,通过与数值解的对比,印证了解析解的准确性。在此基础上,根据不同透水边界条件下隧道涌水量和围岩关键点孔隙水压力随埋深直径比( )的变化规律,分析了透水边界条件的变化对浅埋隧道和深埋隧道的影响,并探讨了浅埋水下隧道渗流计算中透水边界条件的选取。相关结论与认识对于隧道渗流计算和排水设计具有一定的指导作用和参考价值。  相似文献   

20.
Horizontal trenches (HTs) are constructed during the waste filling for leachate recirculation in bioreactor landfills. Leachate distribution depends on HT configuration (i.e., spacing between successive HTs), leachate injection rate, modes of injection, and hydraulic properties and MSW heterogeneity. Presently, the effects of these variables on the moisture distribution have not been studied systematically. This study provides a systematic evaluation of the effect of the HTs variables on the moisture distribution and pore fluid pressures. A two-phase flow model is used to model a bioreactor landfill having an HT leachate injection system. It quantifies the effects of the unsaturated hydraulic properties and MSW heterogeneity, trench configuration, leachate injection flux, and mode of injection on hydraulic behaviour. The results show that unsaturated hydraulic conductivity and MSW heterogeneity significantly shape the zone of influence and excess pore pressures. Under heterogeneous-anisotropic conditions, the leachate migrates more laterally and the developed pore-pressures are lower than for homogeneous MSW. A closely-spaced, multi-level, staggered HT system is found to provide uniform and adequate moisture distribution in MSW. An intermittent mode of injection that alternates between the shallow and deep trenches with a higher leachate injection flow rate is found to be effective to control the excess pore pressures.  相似文献   

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