土坡失稳的有效降雨量研究

降雨易引起花岗岩残积土边坡失稳。在分析降雨对边坡土体含水率影响的基础上,通过饱和度和含水率的关系推求出土体从非饱和过渡到饱和的有效降雨量。结果表明：对土质边坡,并非所有的降雨都会引起边坡的失稳,降雨入渗使边坡土体从非饱和向饱和状态发展,当边坡土体饱和度达到一定程度的时候易产生边坡失稳;土坡存在饱和区和非饱和区的临界深度,降雨对边坡的影响即为使得该深度以上的土体从非饱和过渡到饱和的过程,须采取不同的抗剪强度来计算处于临界深度上下两部分土体的稳定状态。研究结果对确定土坡失稳的降雨量阀值、进一步认识滑坡失稳机制,对滑坡的预测预报具有理论及实际意义。     

考虑降雨的非饱和土边坡稳定性分析方法

降雨往往是引起热带和亚热带的膨胀土、残积土边坡失稳的主要促发因素。地处热带和亚热带的膨胀土、残积土往往是非饱和的，由于吸力的存在，土体抗剪强度较高，土坡是稳定的，一旦发生降雨，雨水将渗入土体，土体饱和度增加，吸力锐减并引起抗剪强度大幅度下降，当持续降雨的历时和强度超过一定程度时，则可导致土坡失稳。采用极限平衡分析方法，建立了一套能考虑水分入渗的非饱和土边坡的稳定性分析方法，该方法考虑在降雨后土坡水分为一分布场及抗剪强度参数为饱和度的函数。给出了一个计算实例。计算结果表明，降雨引起的土坡失稳往往为浅层破坏。     

大降雨条件下气压力对边坡稳定的影响研究

对于大面积浅层风化土边坡,当下部含有浅水位或不透水基岩层时大降雨将导致下部气体被封闭。随着湿润峰的下移,气压不断增大。封闭气压力不仅降低了雨水在边坡土体的入渗率,而且对边坡的稳定有显著影响。通过分析封闭气压力的形成和相关理论,提出取 大小的气压力头来研究边坡的稳定性（Hc为一水头值,与土体孔隙尺寸分布有关; hd为土体进气值水头）。结合非饱和土的Mohr-Coulomb破坏准则和极限平衡法,将封闭气压力引入到边坡的稳定分析中,建立了考虑气压力影响下的稳定分析模型。与传统的不考虑气压力的稳定分析方法作对比,提出了气压力影响率概念。研究表明,封闭气压力显著降低了边坡的安全系数,传统的无限边坡稳定计算方法偏于危险。研究结果对无限边坡的强降雨安全预报具有较好的指导作用。     

降雨对均质各向异性土质边坡稳定性的影响

采用有限元法分析了非饱和均质各向异性土坡中的降雨渗透过程和土水相互作用的变化过程,使用修改的Mohr-Coulomb破坏准则考虑非饱和土的抗剪强度,根据基质吸力变化引起抗破坏强度变化的原理,寻找最危险的滑移面位置,计算最小稳定安全系数,研究了土坡遭受降雨渗透时的安全稳定问题。实例分析结果表明,该法在评判降雨时非饱和土坡的稳定性方面是合理可行的。同时分析数据表明裂隙的存在对土质边坡稳定性的影响是显著的,在对雨水入渗的土边坡稳定性分析时,必须考虑裂隙的影响。     

Incorporating hydro-mechanical coupling in an analysis of the effects of rainfall patterns on unsaturated soil slope stability

Rainfall-induced landslides can cause loss of life and damage to property, infrastructure, and the environment. Rainfall patterns affect the pore-water pressure of unsaturated soil slopes, and are related to the slopes’ stability. Four rainfall patterns were chosen to represent natural rainfall patterns for an examination of rainfall infiltration into soil slopes using numerical models incorporating coupled water infiltration and deformation in unsaturated soils. Our analysis showed that rainfall patterns play a significant role in the distribution of the pore-water pressure in soil slopes, and influence the slope stability. The pore-water pressure profile of soil slopes and the factor of safety are affected by the ratio of rainfall intensity and the coefficient of permeability. The depth and shape of the shallow sliding plane of the landslide is closely related to the rainfall pattern; moreover, the results showed a correlation between the factor of safety of the slope and the rainfall intensity. This relationship can be described by a dimensionless rainfall intensity. The nonlinear relationship can be used to estimate the slope stability resulting from rainfall infiltration when the hydro-mechanical coupling in unsaturated soil slopes is considered.     

强降雨作用下堆积层滑坡稳定性分析

强降雨作用易造成堆积层滑坡发生,带来严重的生命财产损失。基于Green-Ampt（GA）模型,同时考虑湿润锋以上饱和带渗流作用,推导了一种新的滑坡降雨入渗函数,弥补了GA模型只适用于无限长坡的不足。为考虑降雨入渗对土体条块强度的影响,采用整体抗剪强度准则评价滑坡稳定性,并在受力分析时考虑了湿润锋以上饱和带渗透力作用,建立了滑坡稳定性系数表达式。研究结果表明：滑坡降雨入渗的尺寸效应非常明显,湿润锋扩展速率随着坡长的增大而增大,当滑坡无限长时新降雨入渗模型与GA模型计算结果相同,说明GA模型是新模型的一个特例。此外,降雨初期,滑坡稳定性下降较快;随着降雨的持续,稳定性下降速率逐渐放缓。与模型试验结果对比表明,提出的降雨入渗模型和评价方法计算结果与试验揭示的现象一致,证明了该方法的可靠性。     

Effectiveness of horizontal drains for slope stability

Horizontal drains have been commonly used in stabilising unsaturated residual soil slopes. This study examines the effectiveness of horizontal drains in stabilising residual soil slopes against rainfall-induced slope failures under a tropical climate. The study includes field instrumentation at two residual soil slopes complemented with a parametric study relating to drain position. Field monitoring results indicate that rainfall infiltration is limited to a certain depth below which infiltration becomes insignificant. This zone tends to be unsuitable for horizontal drains. Horizontal drains were found to be most effective when located at the base of a slope. The parametric study indicated conditions under which horizontal drains are effective or ineffective in improving the stability of a slope. It was also found that horizontal drains have little role in minimising infiltration in an unsaturated residual soil slope. Benefits of using horizontal drains can be obtained through the lowering of the water table.     

Modeling of layered infinite slope failure triggered by rainfall

The infinite slope is typically regarded as composed of a single-layered soil with a uniform property in various physical-based models used for modeling rainfall-induced shallow landslides. This study extends the physical-based model to consider the layered infinite slope to examine the importance of soil layer distribution for rainfall-induced shallow landslides. Hypothetical scenarios of infinite slope composed of soil layers with different thicknesses and parameters are employed to conduct this examination. The results show that pressure heads caused by rainfall infiltration are strongly related to soil layer distribution. This shows the significant influence of soil layer distribution in assessing infinite slope stability. Failure of a layered infinite slope does not necessarily occur at the impervious bottom of the hillslope soil, but may also occur at the interface between two soil layers. This result shows that a neglect of soil layer distribution could misestimate failure depth. Hence, soil layer distribution must be considered to reliably analyze infinite slope failure induced by rainfall.     

均质非饱和边坡降雨入渗解析解及在黄土边坡的应用

降雨诱发的黄土边坡失稳非常普遍。建立黄土边坡渗流场计算模型,基于非饱和土渗流控制方程。采用VG函数和Gardner函数分别描述土-水特征曲线和渗透系数曲线,利用行波约化和级数展开法推导降雨入渗解析解。利用数值反演法将模型试验数据对土-水参数拟合,证明了该解析解的有效性。对比分析试验值与解析解在不同工况下体积含水率分布规律,分析结果表明：边坡试验模型中的浅层测点体积含水率试验值与解析解较为接近,试验值在浸润锋下移的过程中所达到的体积含水率峰值相比解析解较小;边坡试验模型中的深层测点体积含水率试验值与解析解在前期存在一定误差,深层测点体积含水率解析解在初期增长速度相较于试验值较快,主要原因是较深土层浸润锋的滞后性。     

Numerical modeling of rainstorm-induced shallow landslides in saturated and unsaturated soils

For the assessment of shallow landslides triggered by rainfall, the physically based model coupling the infinite slope stability analysis with the hydrological modeling in nearly saturated soil has commonly been used due to its simplicity. However, in that model the rainfall infiltration in unsaturated soil could not be reliably simulated because a linear diffusion-type Richards’ equation rather than the complete Richards’ equation was used. In addition, the effect of matric suction on the shear strength of soil was not actually considered. Therefore, except the shallow landslide in saturated soil due to groundwater table rise, the shallow landslide induced by the loss in unsaturated shear strength due to the dissipation of matric suction could not be reliably assessed. In this study, a physically based model capable of assessing shallow landslides in variably saturated soils is developed by adopting the complete Richards’ equation with the effect of slope angle in the rainfall infiltration modeling and using the extended Mohr–Coulomb failure criterion to describe the unsaturated shear strength in the soil failure modeling. The influence of rainfall intensity and duration on shallow landslide is investigated using the developed model. The result shows that the rainfall intensity and duration seem to have similar influence on shallow landslides respectively triggered by the increase of positive pore water pressure in saturated soil and induced by the dissipation of matric suction in unsaturated soil. The rainfall duration threshold decreases with the increase in rainfall intensity, but remains constant for large rainfall intensity.     

侵入岩脉风化壳对中林村残积土滑坡渗流场和稳定性的影响

岩脉侵入是一种普遍的地质现象,侵入岩脉及其风化壳对斜坡的渗流场和稳定性具有重要影响,但目前国内外在该方面的研究鲜见报道。我国东南沿海约50×104 km2的白垩系火山岩地层中广泛分布侵入岩脉及其风化壳,改变了该地区残积土斜坡的失稳机制。以浙江省文成县中林滑坡为对象,研究花岗岩脉风化壳对其渗流场和稳定性的影响。中林滑坡主要由凝灰岩及其残积土组成,后部有侵入的花岗岩脉及其残积土,利用室内土柱试验获取降雨作用下两种残积土渗透性质的差异,利用不同含水率下的直剪试验获取非饱和抗剪强度参数;利用Geo-studio软件中的Seep/W模块反演土柱降雨试验,获取两种土体的非饱和渗透参数;接着将上述参数应用于中林滑坡的渗流场模拟,获取降雨入渗下坡体的渗流场;将渗流场耦合到坡体稳定性计算中,获取了坡体的稳定性变化曲线及最危险滑面。结果表明,降雨通过侵入岩脉风化壳快速入渗,并顺着基覆面向凝灰岩残积土区侧向渗流,导致侵入区与原始斜坡的交界处以及基覆面附近的地下水位快速升高,孔隙水压力迅速增大,斜坡在该位置最易变形破坏,且失稳深度远大于普通的浅层残积土斜坡,可达6～10 m。该研究成果可为东南沿海地区有岩脉侵入的残积土斜坡的稳定性评价与防治设计提供理论依据。     

Performances of two instrumented laboratory models for the study of rainfall infiltration into unsaturated soils

Rainfall infiltration and suction variation in unsaturated soils must be taken into consideration in the analysis of most slope stability problems, particularly in the tropical regions where the annual precipitation is high. The process of rainfall infiltration into unsaturated soils is an extremely complex problem attributed to the non-linearity of the hydraulic property functions of the unsaturated soils. This paper describes in detail two instrumented laboratory models, i.e. one-dimensional soil column, and two-dimensional slope model used to provide experimental evidences for the transient suction variations in the unsaturated soils under certain rainfall conditions. The performances of the laboratory models were tested on four typical types of residual soils, i.e. sand-gravel, silty gravel, sandy silt, and silt (kaolin), and a two-layered soil system, i.e. sandy silt underlain by silty gravel. The results showed that the suction distributions for the single-layered homogeneous soils obtained from the simpler one-dimensional soil column were almost identical to that of two-dimensional slope model. However, the two-dimensional slope model should be employed for the two-layered soil system because of the dominant effect of the lateral flow mechanism. The capillary barrier effect was observed when a less permeable soil layer was underlain by a more permeable soil layer. The minimum suction value in soil is governed by the rainfall intensity, rainfall duration, and the saturated permeability of soil. The infiltration rate of the fine-grained soils that subjected to shrink and crack was independent of the soil permeability, but was significantly governed by the preferential flows developed in the soils.     

降雨入渗条件下非饱和路堤变形与边坡的稳定数值模拟

对于常常处于非饱和状态的路堤在降雨入渗条件下变形问题的数值模拟研究,由于涉及到非饱和土力学,一直是个热点和难点。现有的强度折减有限元法一般仅对强度指标进行折减,但折减后得到的路堤变形场与实际变形场存在一定差异。论文分析认为,在降雨入渗影响下非饱和路堤不仅强度参数会降低,而且变形参数也会随着应力水平和强度参数的变化而变化。采用基于变模量的弹塑性强度折减法,对不同降雨入渗深度下路堤的变形规律进行数值模拟,并与室内模型试验结果进行比较;同时采用强度折减法和极限平衡法中的Bishop法,分析了不同降雨入渗深度对非饱和路堤稳定性和滑弧变化特征的影响规律。     

降雨诱发浅层滑坡稳定性的计算模型研究

我国是一个滑坡灾害频发的国家,众多事实表明：降雨是影响边坡稳定性,导致边坡失稳的最主要和最普遍的环境因素,是浅层滑坡的触发因素。为了更好地对降雨诱发浅层滑坡进行研究,采用非饱和土VG模型与改进的Green-Ampt入渗模型对Mein-Larson降雨入渗模型进行改进,并结合无限边坡提出了一个降雨诱发浅层滑坡的简化计算模型。与以往提出的简化计算模型相比,该模型既考虑了坡面倾斜的影响,又考虑了非饱和土的特性,并可用于两种降雨形式下的边坡浅层稳定性估算,具有更广的应用范围。通过与有限元得到的结果进行比较可得：在不同降雨条件下,该计算模型得到的各项结果与数值解是接近的,安全系数计算结果是偏于安全的,因此,可将该计算模型用于降雨诱发浅层滑坡的近似估算;该计算模型公式简单,便于计算,计算效率较高。     

降雨过程中边坡临界滑动场

降雨入渗过程中孔隙水压力的升高与基质吸力的降低引起边坡稳定性的下降,是导致边坡滑塌的主要诱导因素。利用饱和-非饱和渗流有限元计算得到的孔隙水压力场,基于Fredlund提出的非饱和土抗剪强度理论,对边坡临界滑动场进行改进,提出可以考虑降雨过程的边坡临界滑动场数值模拟方法,能够方便、快速地计算出边坡局部、整体安全系数和相对应的临界滑动面在降雨过程中的变化历程。将该法用于一个典型均质边坡和一个非均质边坡在降雨过程中的稳定性计算,分析降雨持续时间、降雨强度和非饱和强度参数取值等因素对边坡稳定性的影响,并将计算结果与其他方法进行比较,结果表明临界滑动场方法能搜索任意形状最危险滑面,计算的安全系数合理。     

连续降雨作用下非饱和土边坡的稳定性分析

在边坡稳定性研究中,吸力的影响经常被忽略。基于非饱和土的渗流理论,利用数值分析方法研究了一个由于连续降雨导致的非饱和土边坡失稳的工程实例。研究结果表明:非饱和土的吸力对于维持边坡稳定具有重要影响,而吸力与降雨频率、降雨量、降雨时间、蒸发量等密切相关。对于工程实践而言,吸力的监测对于维持土坡稳定具有重要意义。     

降雨作用下煤系土路堑边坡稳定分析

基于掌握的降雨气象资料,利用非饱和瞬态渗流有限元程序对开挖后和风化后两种情况下的煤系土路堑边坡进行了降雨入渗坡体渗流场数值计算和分析。依据非饱和土力学强度理论,基于Morgenstern-Price方法,调用不同降雨时间的渗流计算结果,对两种情况下煤系土路堑边坡的瞬态稳定性进行了计算和分析。研究结果表明,水分在风化煤系土路堑边坡体内的渗透迁移对路堑边坡稳定性和最危险滑动面有时空影响;在煤系土路堑边坡降雨入渗和稳定性分析中考虑风化层较为合理。     

Water infiltration characteristics of unsaturated soil slope and its effect on suction and stability

Rainfall has been considered the cause of the majority of slope failures and landslides that happened in regions experiencing high seasonal rainfalls. The mechanism of the failures was mainly due to the lost of matric suction of soils by rainwater. This paper presents the results of a laboratory model study on the effect of slope angle and surface cover on water infiltration into soil and soil matric suction. A field infiltration test is carried out for comparison. A parametric study is also done to examine the effect of permeability ratio, development of perched water table and rainfall intensity on the factor of safety against instability of a soil slope. Results of the model study show that different surface covers on slopes have an effect on the water infiltration. Generally the covered surface (grass or geosynthetic net) has a lower infiltration rate compared with the bare (no cover) surface. On the effect of slope angle, it was observed that water infiltration decrease with increase in the slope steepness. With regards to the movement of the wetting front, it appears that water infiltration is more at the toe compared with the top of the model slope. Based on the parametric study, it is found factor of safety of the slope against instability drops for slope with higher ratio of permeability for the permeable and impermeable stratum. As the perched water table is formed, the factor of safety decreased. The rainfall intensity also has a marked effect on the slope factor of safety. The higher the intensity of the rainfall, the higher is the infiltration rate into the soil, hence the lower is the factor of safety against slope instability.     

降雨入渗条件下非饱和膨胀土边坡原位监测

为了对降雨诱发的非饱和膨胀土边坡失稳的机理有较深入的了解,在湖北枣阳选取了一个11 m高的典型的非饱和膨胀土挖方边坡进行人工降雨模拟试验和原位综合监测。监测成果表明：降雨入渗造成2 m深度以内土层中孔隙水压力和含水量大幅度增加,致使膨胀土体的抗剪强度由于有效应力的减少及土体吸水膨胀软化而降低;同时,降雨入渗造成土体中水平应力与竖向应力比显著增加,并接近理论的极限状态应力比,以致软化的土体有可能沿着裂隙面发生局部被动破坏,此破裂面在一定条件下（如持续降雨条件下）可能会逐渐扩展,最后发展成为膨胀土中常见的渐进式滑坡。     

Analytical solution to 1D coupled water infiltration and deformation in two‐layer unsaturated soils

An analytical solution to 1D coupled water infiltration and deformation in layered soils is derived using a Laplace transformation. Coupling between seepage and deformation, and initial conditions defined by arbitrary continuous pore‐water pressure distributions are considered. The analytical solutions describe the transient pore‐water pressure distributions during 1D, vertical infiltration toward the water table through two‐layer unsaturated soils. The nonlinear coupled formulations are first linearized and transformed into a form that is solvable using a Laplace transformation. The solutions provide a reliable means of comparing the accuracy of various numerical methods. Parameters considered in the coupled analysis include the saturated permeability (k_s), desaturation coefficient (α), and saturated volumetric water content (θ_s) of each soil layer, and antecedent and subsequent rainfall infiltration rates. The analytical solution demonstrates that the coupling of seepage and deformation plays an important role in water infiltration in layered unsaturated soils. A smaller value of α or a smaller absolute value of the elastic modulus of the soil with respect to a change in soil suction (H) for layered unsaturated soils means more marked coupling effect. A smaller absolute value of H of the upper layer soil also tends to cause more marked coupling effect. A large difference between the saturated coefficients of permeability for the top and bottom soil layers leads to reduced rainfall infiltration into the deep soil layer. The initial conditions also play a significant role in the pore‐water pressure redistribution and coupling effect. Copyright © 2011 John Wiley & Sons, Ltd.