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Long-term data reflect nitrogen pollution in Estonian rivers 长期数据反映了爱沙尼亚河流中的氮污染
IF 2.7 4区 环境科学与生态学 Q2 Environmental Science Pub Date : 2022-11-23 DOI: 10.2166/nh.2022.057
T. Nõges, S. Vilbaste, M. J. McCarthy, Marju Tamm, P. Nõges
We analysed long-term (1992–2020) changes in fertiliser use, wastewater treatment, and river water nutrient status in Estonia (N-E Europe) in the context of changing socio-economic situations and legislation. We hypothesised that more precise regulation of fertiliser usage and improved wastewater treatment are reflected as declining riverine nutrient concentrations, and that the largest relative improvements occurred in catchments with initially high proportions of point source loading. We used data on population and livestock densities, fertiliser use, and wastewater treatment from the Statistics Estonia database and riverine nutrient concentrations from the environmental monitoring database. We clustered the rivers by their catchment properties and analysed trends and step changes in their nutrient status. Point source nutrient loading reductions explained most of the observed decline in riverine nitrogen and phosphorus concentrations, whereas the application of mineral fertilisers has increased, hindering efforts to reach water quality and nutrient load targets set by the EU Water Framework Directive and the Baltic Sea Action Plan. Highest nitrogen concentrations and strongest increasing trends were found in rivers within the nitrate vulnerable zone, indicating violation of the EU Nitrates Directive. To comply with these directives, resource managers must address non-point source nutrient loading from river watersheds.
我们分析了爱沙尼亚(欧洲北部-东部)在不断变化的社会经济状况和立法背景下化肥使用、废水处理和河水营养状况的长期(1992-2020)变化。我们假设,更精确的肥料使用调节和污水处理的改善反映在河流养分浓度的下降上,并且最大的相对改善发生在最初点源负荷比例较高的集水区。我们使用了爱沙尼亚统计局数据库中的人口和牲畜密度、肥料使用和废水处理数据,以及环境监测数据库中的河流营养物质浓度数据。我们根据河流的集水区特征对这些河流进行了分类,并分析了它们的营养状况的趋势和变化。点源营养物负荷的减少是观察到的河流氮和磷浓度下降的主要原因,而矿物肥料的施用增加了,阻碍了实现《欧盟水框架指令》和《波罗的海行动计划》设定的水质和营养物负荷目标的努力。在硝酸盐脆弱带的河流中,氮浓度最高,增长趋势最强,表明违反了欧盟硝酸盐指令。为了遵守这些指令,资源管理者必须处理来自河流流域的非点源养分负荷。
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引用次数: 0
Spatial–temporal variability of seasonal daily minimum flows in southern Quebec: synthesis on the impacts of climate, agriculture and wetlands 魁北克南部季节性日最小流量的时空变化:气候、农业和湿地影响的综合
IF 2.7 4区 环境科学与生态学 Q2 Environmental Science Pub Date : 2022-11-14 DOI: 10.2166/nh.2022.070
Ali A. Assani, Ayoub Zeroual, C. Kinnard, Alexandre Roy
This study compares the impacts of climate, agriculture and wetlands on the spatio-temporal variability of seasonal daily minimum flows during the period 1930–2019 in 17 watersheds of southern Quebec (Canada). In terms of spatial variability, correlation analysis revealed that seasonal daily minimum flows were mainly negatively correlated with the agricultural surface area in watersheds in spring, summer and fall. In winter, these flows were positively correlated with the wetland surface area and March temperatures but negatively correlated with snowfall. During all four seasons, spatial variability was characterized by higher daily minimum flow values on the north shore (smaller agricultural surface area and larger wetland surface area) than those on the south shore. As for temporal variability, the application of six tests of the long-term trend analysis showed that most agricultural watersheds are characterized by a significant increase in flows during the four seasons due to the reduction in agricultural area, thus favoring water infiltration, and increased rainfall in summer and fall. On the other hand, the reduction in the snowfall resulted in a reduction in summer daily minimum flows observed in several less agricultural watersheds.
本研究比较了气候、农业和湿地对加拿大魁北克南部17个流域1930-2019年季节性日最小流量时空变化的影响。在空间变异上,相关分析表明,季节日最小流量与流域农业表面积在春、夏、秋主要呈负相关。在冬季,这些流量与湿地表面积和三月气温呈正相关,与降雪量呈负相关。在4个季节中,北岸(农业面积较小,湿地面积较大)的日最小流量值均高于南岸。在时间变率方面,6个试验的长期趋势分析表明,大部分农业流域由于农业面积减少,四季流量显著增加,有利于水分入渗,夏秋两季降雨量增加。另一方面,降雪量的减少导致在几个较少农业流域观测到的夏季日最小流量减少。
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引用次数: 1
Spatially coherent statistical simulation of widespread flooding events under climate change 气候变化下大范围洪水事件的空间相干统计模拟
IF 2.7 4区 环境科学与生态学 Q2 Environmental Science Pub Date : 2022-11-04 DOI: 10.2166/nh.2022.069
Adam Griffin, A. Kay, E. Stewart, P. Sayers
Simulating rare widespread hydrological events can be difficult even with the use of modelled data such as the UKCP18 12 km regional climate projections. To generate larger event sets for application in catastrophe modelling, two statistical approaches are highlighted and applied to widespread GB-generated flooding events using a grid-based hydrological model and UKCP18 regional projections. An Empirical Copula method was applied on a national scale, generating over 600,000 events across two time-slices (1980–2010 and 2050–2080). This was compared to model-generated events and showed good matching across time-slices and ensemble members, although lacked some ability to describe the least-rare events. The Empirical Copula was also compared to an implementation of a conditional exceedance model. This model was much more computationally intensive so was restricted to Northwest England but offered the ability to be tuned more finely through choices of marginal distributions. Analysing over 11,000 events, it also matched well with the Empirical Copula and model-generated events but under-represented the smallest events. Both approaches require a broad dataset to draw from but showed reasonable efficacy. For simple statistics, the Empirical Copula shows the potential to be a powerful tool in exploring spatial structure over large regions or at a fine spatial resolution.
即使使用UKCP18 12公里区域气候预测等模拟数据,也很难模拟罕见的大范围水文事件。为了生成用于巨灾建模的更大事件集,本文强调了两种统计方法,并使用基于网格的水文模型和UKCP18区域预测将其应用于广泛的gb生成的洪水事件。在全国范围内应用了经验Copula方法,在两个时间片(1980-2010年和2050-2080年)中生成了超过600,000个事件。这与模型生成的事件进行了比较,并在时间片和集合成员之间显示出良好的匹配,尽管缺乏描述最不罕见事件的能力。经验联结也被比较为条件超越模型的实现。这个模型的计算量更大,因此仅限于英格兰西北部但可以通过选择边际分布进行更精细的调整。在分析了11,000多个事件后,它也与Empirical Copula和模型生成的事件很好地匹配,但对最小事件的代表性不足。这两种方法都需要广泛的数据集,但都显示出合理的效果。对于简单的统计,经验Copula显示了在大区域或精细空间分辨率下探索空间结构的强大工具的潜力。
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引用次数: 0
Future runoff assessment under climate change and land-cover alteration scenarios: a case study of the Zayandeh-Roud dam upstream watershed 气候变化和土地覆盖变化情景下的未来径流评估:以Zayandeh-Roud大坝上游流域为例
IF 2.7 4区 环境科学与生态学 Q2 Environmental Science Pub Date : 2022-10-25 DOI: 10.2166/nh.2022.056
A. Ahmadi, J. Jalali, Ali Mohammadpour
In this study, hydrological responses to climate change and land-cover alteration on future runoff in the Zayandeh-Roud dam upstream watershed were assessed. In this regard, land-use maps in 1996, 2008, 2018, and 2033 were generated using Landsat time-series (TM and OLI), Support-Vector Machine (SVM), and the CA-Markov chain model, for analysing the effects of land-cover alteration on future runoff. Second, the Global Circulation Model (GCM) scenario time-series under RCP 2.6 and RCP 8.5 scenarios were downscaled to evaluate the impacts of climate change on future streamflow. Eventually, the HEC-HMS model was calibrated (1996–2018) for evaluating the impacts of climate and land-use map changes. Results showed that the percentage of the urban area and farmland in 2033 compared to 2018 were expected to grow by 0.1 and 2.39% upstream of the Eskandari station and 0.05 and 0.71% upstream of the Ghale-Shahrokh station, respectively, although the percentage of the barren area was expected to remain almost unchanged in both regions. The future stream flow of Eskandari and Ghale-Shahrokh stations in 2033 was expected to decrease by 57–63 MCM (for RCP 2.6 and RCP 8.5) and 295–403 MCM, respectively, where 68–72% and 79–86% were expected to decrease under climate change scenarios and remains are due to land-cover alteration.
在本研究中,评估了Zayandeh-Roud大坝上游流域对气候变化和土地覆盖变化对未来径流的水文响应。在这方面,使用陆地卫星时间序列(TM和OLI)、支持向量机(SVM)和CA马尔可夫链模型生成了1996年、2008年、2018年和2033年的土地利用图,用于分析土地覆盖变化对未来径流的影响。其次,对RCP 2.6和RCP 8.5情景下的全球环流模型情景时间序列进行了缩减,以评估气候变化对未来流量的影响。最终,HEC-HMS模型被校准(1996-2018),用于评估气候和土地利用地图变化的影响。结果显示,与2018年相比,2033年Eskandari站上游的城市面积和农田比例预计将分别增长0.1和2.39%,Ghale Shahrokh站上游的城镇面积和农田百分比预计将分别增加0.05和0.71%,尽管这两个地区的贫瘠面积比例预计几乎保持不变。预计2033年Eskandari和Ghale Shahrokh站的未来流量将分别减少570-630亿立方米(RCP 2.6和RCP 8.5)和295-403亿立方米,其中在气候变化情景下,预计将减少68-72%和79-86%,剩余流量是由于土地覆盖变化。
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引用次数: 2
Post-processing climate projections of precipitation for the Po river basin: will Italy's North become water-constrained? 波河流域降水的后处理气候预测:意大利北部会缺水吗?
IF 2.7 4区 环境科学与生态学 Q2 Environmental Science Pub Date : 2022-10-25 DOI: 10.2166/nh.2022.063
Oleksiy Boyko, P. Reggiani, E. Todini
Surface and groundwater resource availability depends on precipitation patterns. Climatic change may alter not only future annual totals of precipitation but also its temporal distribution. In regions depending strongly on snow accumulation for steady water supply, this can lead to water constraints. We process climatic projections of precipitation from 19 models of the Climate Model Inter-comparison Project 5 for the Po river, Italy. The study area hosts Italy's most important lakes and reservoirs and is inhabited by 19 million people. The river basin is also known for its productive areas of irrigated agriculture. We apply a Bayesian processor of uncertainty, which we calibrate on a comprehensive set of high-resolution gridded observations. The processor outputs predictive densities of precipitation for selected prognostic time windows. These densities can be used in conjunction with an utility function to estimate potential losses and/or evaluate the benefits of mitigating actions. For the study area, annual precipitation will not change notably in the future for both an optimistic and a pessimistic scenario. The temporal distribution of precipitation will become affected. These potential changes result in considerable strain on storage capacity and water flows needed to satisfy irrigation demand as well as hydroelectric and thermal energy production.
地表和地下水资源的可用性取决于降水模式。气候变化不仅会改变未来的年降水量,还会改变其时间分布。在高度依赖积雪稳定供水的地区,这可能导致水资源限制。我们处理了意大利波河气候模式比较项目5的19个模式的降水气候预估。研究区拥有意大利最重要的湖泊和水库,居住着1900万人口。该流域也因其灌溉农业的生产区而闻名。我们应用贝叶斯不确定性处理器,我们在一组全面的高分辨率网格观测数据上进行校准。处理器为选定的预测时间窗口输出降水的预测密度。这些密度可与效用函数结合使用,以估计潜在损失和/或评估缓解措施的效益。在乐观和悲观两种情景下,研究区未来年降水量都不会发生显著变化。降水的时间分布将受到影响。这些潜在的变化对满足灌溉需求以及水电和热能生产所需的储存能力和水流量造成相当大的压力。
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引用次数: 2
Influence of reservoir impoundment on rainfall erosivity in the Three Gorges Reservoir region of China 三峡库区蓄水对降雨侵蚀力的影响
IF 2.7 4区 环境科学与生态学 Q2 Environmental Science Pub Date : 2022-10-20 DOI: 10.2166/nh.2022.038
Guang-Zhi Jiang, Jiaorong Lv, Xiu-bin He, Y. Bao
New dammed reservoirs are expected to have a significant effect on the regional hydrocycle, but the detailed patterns may not be well understood. Regional climate change is likely to cause soil erosion uncertainty by affecting rainfall erosivity. In the present study, local precipitation and rainfall erosivity were investigated to determine the impounding influence of the Three Gorges Reservoir. Daily erosive precipitation, from 1980 to 2020, was categorized into four intensity levels (light, moderate, heavy, and very heavy), as well as extreme rainfall, to understand their contribution to erosivity. It was found that the impoundment significantly affected local precipitation, with both heavy precipitation and the relative erosivity showing a substantial declining trend (Sen's slope = 2.141, p < 0.05). The Mann–Kendall test indicated an abrupt change point around the year 2002, evidencing the effect of the reservoir impoundment (since 2003). Reservoir impoundment redistributed the intensity levels of erosive precipitation, leading to a 24.3% decrease in the erosivity of heavy precipitation and an 8.2% increase in the moderate category. The unimodal distribution of monthly precipitation was altered to a bimodal distribution with peaks in July and September, resulting in a longer but lower-risky erosion period of high concern. The fluctuations of Rx1day and Rx5day were obviously flattered after impoundment, with a 54.2% peak reduction in relative erosivity on average. Results indicated that heavy rainfall (including extreme rainfall) was reduced, and annual precipitation and erosivity both had a more even seasonal distribution following reservoir impoundment.
预计新坝水库将对区域水循环产生重大影响,但其详细模式可能尚不清楚。区域气候变化可能通过影响降雨侵蚀力而引起土壤侵蚀的不确定性。为了确定三峡库区的蓄水影响,本文研究了局地降水和降雨侵蚀力。将1980 - 2020年的日侵蚀降水分为轻度、中度、重度和极重度四个强度级别,以及极端降雨,以了解它们对侵蚀力的贡献。结果表明,蓄水对局地降水影响显著,强降水和相对侵蚀力均呈现明显下降趋势(Sen’s slope = 2.141, p < 0.05)。Mann-Kendall试验在2002年前后出现突变点,表明水库蓄水的影响(2003年以来)。水库蓄水对侵蚀性降水强度进行了再分配,导致强降水侵蚀力下降24.3%,中等降水侵蚀力增加8.2%。月降水量单峰分布转变为7月和9月高峰的双峰分布,形成了较长但风险较低的高度关注侵蚀期。蓄水后Rx1day和Rx5day的波动幅度明显减小,相对侵蚀力峰值平均降低54.2%。结果表明:水库蓄水后强降水(包括极端降水)减少,年降水量和侵蚀力的季节分布更加均匀;
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引用次数: 0
Identification of suitable sites for traditional pokhari water harvesting in mountain rural communities of the Himalaya 喜马拉雅山区农村社区确定适合传统博卡里水采集的地点
IF 2.7 4区 环境科学与生态学 Q2 Environmental Science Pub Date : 2022-10-05 DOI: 10.2166/nh.2022.027
Eleonora Forzini, Luigi Piemontese, E. Bresci, Blandine Barthod, Florian Bielser, Marc Sylvestre, N. Adhikari, Nirmal Pun, G. Castelli
Storing runoff during the monsoon season in Himalayan hills is crucial to have enough water to cope with the dry season, especially considering that climate change is changing rainfall intensity and pattern. Traditional Nepalese water ponds, called pokharis, are used to store runoff mainly for cattle rearing and rice fields supplementary irrigation. Local communities are interested in restoring existing pokharis and building new ones to improve their economical and living conditions. Selecting the most suitable locations for pokharis is of crucial importance; however, scarce information is available for large-scale site selection. A comprehensive analysis of multiple relevant parameters for traditional ponds siting can lead to more efficient rainwater collection and provide a useful water resource management tool. In this work, we propose a methodology for pokharis’ best-siting analysis, based on geographic information system (GIS), multi-criteria decision-making (MCDM), and participatory research. To our knowledge, this is the first large-scale best-siting analysis for traditional ponds in Nepal. An area of 0.423 km2 (3.47% of the study area) is classified as highly suitable, with 100% agreement with existing pokharis. Despite the low data resolution, which requires a further field inspection for the final site selection, our results provide reliable guidance for pokharis’ large-scale suitability, supporting water-resilience projects in the area.
在喜马拉雅山的季风季节储存径流对于有足够的水来应对旱季至关重要,特别是考虑到气候变化正在改变降雨强度和模式。尼泊尔传统的水塘被称为pokharis,主要用于储存径流,用于养牛和稻田补充灌溉。当地社区有兴趣恢复现有的pokharis并建造新的pokhari,以改善他们的经济和生活条件。选择最适合pokharis的地点至关重要;然而,可用于大规模选址的信息很少。对传统池塘选址的多个相关参数进行综合分析,可以更有效地收集雨水,并提供有用的水资源管理工具。在这项工作中,我们提出了一种基于地理信息系统(GIS)、多准则决策(MCDM)和参与式研究的波卡里斯最佳选址分析方法。据我们所知,这是尼泊尔首次对传统池塘进行大规模最佳选址分析。0.423平方公里的面积(占研究面积的3.47%)被归类为高度适合,与现有的pokharis 100%一致。尽管数据分辨率较低,需要对最终选址进行进一步的现场检查,但我们的结果为波卡里斯的大规模适宜性提供了可靠的指导,支持了该地区的水资源恢复项目。
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引用次数: 3
Use of basin outlet velocity to determine the basin concentration time and storage coefficient 利用流域出口速度确定流域集中时间和蓄水系数
IF 2.7 4区 环境科学与生态学 Q2 Environmental Science Pub Date : 2022-10-03 DOI: 10.2166/nh.2022.066
Jinwook Lee, C. Yoo
Most empirical formulae for the basin concentration time (Tc) and storage coefficient (K) focus on estimating the representative values under the ordinary condition, with their return period being a maximum of 100–200 years. Under more extreme conditions, those parameters should be modified to consider faster velocity conditions. The main objective of this study is to examine the possibility of determining these parameters corresponding to the given peak velocity (vp) at the basin outlet. Two issues are involved in this problem; one is whether Tc can be fully expressed by vp, while the other is whether K is still linearly proportional to Tc under extreme conditions. In this study, these two issues are resolved by the theoretical review of these parameters, as well as an analysis of the rainfall–runoff events collected at the Chungju Dam basin, Korea. It is observed that as vp increases, Tc and K decrease. Their relationship is close to inverse but in linear proportion. That is, strong linear relationships are found among Tc, K, and vp. As a result, the ratio of K to Tc is found to be almost identical, regardless of vp. This ratio at a basin can be assumed as a basin characteristic that is unchanged, regardless of the size of rainfall events.
流域集中时间(Tc)和蓄水系数(K)的经验公式大多侧重于估算正常条件下的代表值,其重现期最长为100-200年。在更极端的条件下,应该修改这些参数以考虑更快的速度条件。本研究的主要目的是检查确定这些参数的可能性,这些参数对应于盆地出口处的给定峰值速度(vp)。这个问题涉及两个问题;一个是Tc是否能被vp完全表达,另一个是在极端条件下K是否仍与Tc成线性比例。在本研究中,通过对这些参数的理论审查,以及对韩国忠州大坝流域收集的降雨-径流事件的分析,解决了这两个问题。观察到,随着vp的增加,Tc和K降低。它们的关系接近相反,但呈线性比例。也就是说,Tc、K和vp之间存在强线性关系。结果,发现K与Tc的比率几乎相同,而与vp无关。无论降雨事件的大小,盆地的这一比率都可以被假设为不变的盆地特征。
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引用次数: 0
Response of the winter soil moisture of different vegetation types to rainfall events in karst slope land 喀斯特坡地不同植被类型冬季土壤水分对降雨事件的响应
IF 2.7 4区 环境科学与生态学 Q2 Environmental Science Pub Date : 2022-09-29 DOI: 10.2166/nh.2022.033
E. Yuan, Qiuwen Zhou, W. Yan, D. Peng, Yalin Wang
Understanding the response of soil moisture of different vegetation types to rainfall in karst regions in winter is significant for implementing various ecological restoration projects. However, at present, the related research is mainly focused on non-winter seasons, and only few research exist on winter seasons. Therefore, in this study, four types of vegetation – grassland, arable land, shrubland, and forestland – were selected as sample plots in the Guanling County of southwestern Guizhou, China. The magnitude, time, and speed responses of soil moisture of the vegetation types to rainfall were calculated using the time-series data of soil moisture of different vegetation types. The results showed that the response of soil moisture differed between different vegetation types in winter and non-winter seasons in karst areas. Among the four vegetation types, soil moisture response magnitude to rainfall in grassland and arable land had a similar distribution pattern along different soil depths, whereas, in scrubland and forestland, it decreased gradually along the soil depth. In addition, compared with other vegetation types, for grassland soil moisture, the response magnitude, response duration, and response speed to rainfall are the largest, longest, and fastest, respectively. Our study used quantitative indices to illustrate the response of soil moisture to rainfall for different vegetation types under a humid climate in a mid-subtropical zone on sloped, pure limestone land. The results of this study provide a scientific basis for the implementation of ecological restoration projects in karst areas.
了解喀斯特地区不同植被类型冬季土壤水分对降雨的响应,对实施各种生态修复工程具有重要意义。但目前相关研究主要集中在非冬季,对冬季的研究较少。因此,本研究在贵州西南部关陵县选取草地、耕地、灌丛和林地4种植被类型作为样地。利用不同植被类型土壤水分时间序列数据,计算不同植被类型土壤水分对降雨的响应幅度、响应时间和响应速度。结果表明,喀斯特地区不同植被类型在冬季和非冬季对土壤水分的响应存在差异。在4种植被类型中,草地和耕地土壤水分对降雨的响应强度沿不同土壤深度的分布格局相似,而灌丛和林地土壤水分对降雨的响应强度沿土壤深度逐渐减小。此外,与其他植被类型相比,草地土壤水分对降雨的响应幅度最大,响应持续时间最长,响应速度最快。本研究利用定量指标分析了中亚热带湿润气候下不同植被类型土壤水分对降雨的响应。研究结果为喀斯特地区生态修复工程的实施提供了科学依据。
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引用次数: 1
A model for estimating the hydraulic conductivity of bentonite under various density conditions 不同密度条件下膨润土导水率的估算模型
IF 2.7 4区 环境科学与生态学 Q2 Environmental Science Pub Date : 2022-09-23 DOI: 10.2166/nh.2022.021
T. Kijima, Tsuyoshi Sasagawa, T. Sawaguchi, N. Yamada
Bentonite is an important material for low-permeability engineering systems used in dams and hazardous waste facilities. While models to characterize the hydraulic conductivity of bentonite have been developed in previous studies, these models were not applicable to various density conditions for Na- and Ca-bentonite. In this study, we present a new model for estimating the hydraulic conductivity of bentonite applicable to a wide range of density conditions for Na- and Ca-bentonite. In order to consider flow paths in compacted bentonite, a lamination structure of montmorillonite stacks was assumed. Our hydraulic model discriminated interlayer pores and other pores by applying a method for estimating the probability of connected pores and hydraulic coefficients governed by the plane Poiseuille flow equation. The model was consistent with the lower part of the experimental data investigated in previous studies on the hydraulic conductivity of Na-bentonite and was in good agreement with the data of Ca-bentonite in the range of an effective montmorillonite density (ρem) at 300 kg/m3 ≤ ρem ≤ 1,400 kg/m3 and 600 kg/m3 ≤ ρem, respectively. However, some experimental values on Ca-bentonite under low-density conditions were far higher than the model results in the case where Ca-bentonite forms flow paths of relatively large pores.
膨润土是用于水坝和危险废物设施的低渗透工程系统的重要材料。虽然在以前的研究中已经开发了表征膨润土导水力的模型,但这些模型不适用于钠和钙膨润土的各种密度条件。在这项研究中,我们提出了一个新的模型来估计膨润土的导水率,该模型适用于钠和钙膨润土在各种密度条件下的导水性。为了考虑压实膨润土中的流动路径,假设了蒙脱石叠层的层状结构。我们的水力模型通过应用一种估计连通孔隙概率的方法和由平面Poiseuille流动方程控制的水力系数来区分层间孔隙和其他孔隙。该模型与之前研究钠基膨润土导水性的实验数据的下部一致,并且在有效蒙脱石密度(ρem)范围内(分别为300kg/m3≤ρem≤1400kg/m3和600kg/m3≤ρem)与钙基膨润岩的数据非常一致。然而,在低密度条件下,Ca膨润土的一些实验值远高于Ca膨润土形成相对大孔隙的流动路径的情况下的模型结果。
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引用次数: 0
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