The variance of the distribution of traversal times in a capillary bed

A random walk model of capillary tracer transit times is developed that treats simulataneously: plug flow in the capillary, radial and axial diffusion in the capillary cylinder and tissue annulus, and endothelial barriers to solute transport. The mean transit time is simply the volume of distribution divided by blood flow. Variance of transit times has additive terms for radial, axial, and barrier influences that are reduceable to variances of simpler models of capillary exchange. The dependence of variance on the solute diffusion coefficient is not monotonic, but has a minimum near 0·5 × 10?6 cm²/s for reasonable parameters and no barrier, Small molecules like inert gases are expected to have larger variances with higher diffusion coefficients, while larger molecules and barrier limited solutes will have the reverse dependence. Available literature data indicates that capillary heterogeneity will have a major influence on whole-body variance of transit times.     

Quantifying effects of soil heterogeneity on groundwater pollution at four sites in USA

Four sites located in the north-eastern region of the United States of America have been chosen to investigate the impacts of soil heterogeneity in the transport of solutes (bromide and chloride) through the vadose zone (the zone in the soil that lies below the root zone and above the permanent saturated groundwater). A recently proposed mathematical model based on the cumulative beta distribution has been deployed to compare and contrast the regions' heterogeneity from multiple sample percolation experiments. Significant differences in patterns of solute leaching were observed even over a small spatial scale, indicating that traditional sampling methods for solute transport, for example the gravity pan or suction lysimeters, or more recent inventions such as the multiple sample percolation systems may not be effective in estimating solute fluxes in soils when a significant degree of soil heterogeneity is present. Consequently, ignoring soil heterogeneity in solute transport studies will likely result in under- or overprediction of leached fluxes and potentially lead to serious pollution of soils and/or groundwater.The cumulative beta distribution technique is found to be a versatile and simple technique of gaining valuable information regarding soil heterogeneity effects on solute transport. It is also an excellent tool for guiding future decisions of experimental designs particularly in regard to the number of samples within one site and the number of sampling locations between sites required to obtain a representative estimate of field solute or drainage flux.     

Quantifying effects of soil heterogeneity on groundwater pollution at four sites in USA

Four sites located in the north-eastern region of the United States of America have been chosen to investigate the impacts of soil heterogeneity in the transport of solutes (bromide and chloride) through the vadose zone (the zone in the soil that lies below the root zone and above the permanent saturated groundwater). A recently proposed mathematical model based on the cumulative beta distribution has been deployed to compare and contrast the regions' heterogeneity from multiple sample percolation experiments. Significant differences in patterns of solute leaching were observed even over a small spatial scale, indicating that traditional sampling methods for solute transport, for example the gravity pan or suction lysimeters, or more recent inventions such as the multiple sample percolation systems may not be effective in estimating solute fluxes in soils when a significant degree of soil heterogeneity is present. Consequently, ignoring soil heterogeneity in solute transport studies will likely result in     

Quantifying effects of soil heterogeneity on groundwater pollution at four sites in USA

Four sites located in the north-eastern region of the United States of America have been chosen to investigate the impacts of soil heterogeneity in the transport of solutes (bromide and chloride) through the vadose zone (the zone in the soil that lies below the root zone and above the permanent saturated groundwater). A recently proposed mathematical model based on the cumulative beta distribution has been deployed to compare and contrast the regions’ heterogeneity from multiple sample percolation experiments. Significant differences in patterns of solute leaching were observed even over a small spatial scale, indicating that traditional sampling methods for solute transport, for example the gravity pan or suction lysimeters, or more recent inventions such as the multiple sample percolation systems may not be effective in estimating solute fluxes in soils when a significant degree of soil heterogeneity is present. Consequently, ignoring soil heterogeneity in solute transport studies will likely result in under- or overprediction of leached fluxes and potentially lead to serious pollution of soils and/or groundwater. The cumulative beta distribution technique is found to be a versatile and simple technique of gaining valuable information regarding soil heterogeneity effects on solute transport. It is also an excellent tool for guiding future decisions of experimental designs particularly in regard to the number of samples within one site and the number of sampling locations between sites required to obtain a representative estimate of field solute or drainage flux.     

Bacteriophage Transport in Sandy Soil and Fractured Tuff

Bacteriophage transport was investigated in laboratory column experiments using sandy soil, a controlled field study in a sandy wash, and laboratory experiments using fractured rock. In the soil columns, the phage MS-2 exhibited significant dispersion and was excluded from 35 to 40% of the void volume but did not adsorb. Dispersion in the field was similiar to that observed in the laboratory. The phage f2 was largely excluded from the porous matrix of the two fractured-rock cores studied, coming through 1.2 and 2.0 times later than predicted on the basis of fracture flow alone. Because of matrix diffusion, nonsorbing solutes were retarded by over a factor of three relative to fracture flow. The time for a solute tracer to equilibrate with the porous matrix of 6.5-cm-diameter by 25-cm-long cores was measured in days. Results of both granular-medium and fractured-rock experiments illustrate the inability of a solute tracer to provide estimates for dispersion and effective porosity that are applicable to a colloid. Bacteriophage can be used to better estimate the maximum subsurface transport rate of colloidal contaminants through a porous formation.     

Influence of different vegetation types on saturated hydraulic conductivity in alluvial topsoils

In the Parí? creek catchment (southwestern part of Slovakia), the influence of different vegetation types on selected soil properties in alluvial topsoils was studied. Specifically, the effect on saturated hydraulic conductivity considered as indicator of water transport process and the effect on soil bulk density considered as indicator of soil structure were analysed. Due to the mutual influence of plant roots on soil properties, the root biomass was also estimated and its relationship to the studied soil properties was explored. Reed and tall-sedge wetlands and alluvial wet meadows represented the studied vegetation types. Adjacent arable lands (former grasslands) with corn were included for comparison. In total, 64 samples were used for comparative analysis. A standard methodology for measurement of the saturated hydraulic conductivity, the so-called falling head technique was used on 250 cm³ soil cores. Undisturbed soil samples were taken from the depth of 5 cm. Analysis of variance, mutual comparison of mean values and correlation matrix were used for statistical analyses. Measurements showed significantly higher values of saturated hydraulic conductivity for topsoils in wetlands (6.2 m day^?1 on average) compared to mown grasslands (1.47 m day^?1) and arable land (0.79 m day^?1). The results indicated a specific significance of wetlands in relation to water transport processes in alluvial topsoils.     

Soil hydraulic properties as ecological indicators in forested watersheds impacted by mechanized military training

Soil hydraulic properties were characterized on a ridgetop training site and other sites not impacted by training at Fort Benning, a military installation in southwestern, GA to: (1) examine the influence of mechanized training on soil hydraulic properties and (2) evaluate the utility of soil hydraulic properties as disturbance-level indicators related to ecosystem integrity. Ridgetop surface soils impacted by mechanized military training exhibited a reduction in the mean pore size, as indicated by smaller scaling factors, an increase in the soil bulk density and a decrease in saturated hydraulic conductivity for training locations versus non-training locations. Soil bulk density, saturated hydraulic conductivity and scaling factors exhibited lower population variance in the training sites, indicating repetitive training cycles that progressively mix and homogenize the soil. Surface soils (0–3 cm below ground surface) at all sites were predominantly loamy sands. The observed differences in measured soil properties at training and non-training sites characterize the endpoints of an ecosystem disturbance gradient where relatively un-impacted forest transitions to barren, churned sand. They also help explain the visual evidence of increased overland flow and significant soil erosion in the training areas. While results from this research showed a marked difference in measured soil properties between the two extreme types of land management, more work is needed to establish threshold levels for soil properties related to mechanized vehicle training cycles and training intensity and corresponding ecosystem degradation/integrity. It is noted that for assessment of immediate erosion potential and ecosystem integrity, remote sensing techniques paired with watershed-scale numerical modeling may be more valuable and that greater research emphasis be given to characterizing the indirect, yet more widespread, down-slope impacts of mechanized training activities localized on the ridgetops.     

Design methodology accounting for the effects of porous medium heterogeneity on hydraulic residence time and biodegradation in horizontal subsurface flow constructed wetlands

Horizontal flow constructed wetlands are engineered systems capable of eliminating a wide range of pollutants from the aquatic environment. Nevertheless, poor hydrodynamic behavior is commonly found resulting in preferential pathways and variations in both (i) the hydraulic residence time distribution (HRTD) and, consequently, (ii) the wetland's treatment efficiency. The aim of this work was to outline a methodology for wetland design that accounts for the effect of heterogeneous hydraulic properties of the porous substrate on the HRTD and treatment efficiency. Biodegradation of benzene was used to illustrate the influence of hydraulic conductivity heterogeneity on wetland efficiency. Random, spatially correlated hydraulic conductivity fields following a log-normal distribution were generated and then introduced in a subsurface flow numerical model. The results showed that the variance of the distribution and the correlation length in the longitudinal direction are key indicators of the extent of heterogeneity. A reduction of the mean hydraulic residence time was observed as the extent of heterogeneity increased, while the HRTD became broader with increased skewness. At the same time, substrate heterogeneity induced preferential flow paths within the wetland bed resulting in variations of the benzene treatment efficiency. Further to this it was observed that the distribution of biomass within the porous bed became heterogeneous, rising questions on the representativeness of sampling. It was concluded that traditional methods for wetland design based on assumptions such as a homogeneous porous medium and plug flow are not reliable. The alternative design methodology presented here is based on the incorporation of heterogeneity directly during the design phase. The same methodology can also be used to optimize existing systems, where the HRTD has been characterized with tracer experiments.     

Estimating hydraulic conductivity of a sandy soil under different plant covers using minidisk infiltrometer and a dye tracer experiment

The objective of this study was to estimate the hydraulic conductivity of sandy soil under different plant cover at the locality Mláky II at Sekule (southwest Slovakia). Two sites were demarcated at the locality, with mainly moss species at glade site, and pine forest at forest site. The estimation of unsaturated hydraulic conductivity was conducted by (a) minidisk infiltrometer and (b) the analysis of a dye tracer total resident concentration. The latter approach assumed the applicability of the stochastic—convective flow theory in the sandy soil. In the dye tracer experiment, two plots (1 × 1 m each) were established in both sites, and 100 mm of dye tracer (Brilliant Blue FCF) solution was applied on the soil surface. Similar results were obtained in both plots, with more than 70 % area of horizons stained in the depth of 30–50 cm. In some cases, the predicted and measured hydraulic conductivity were found within an order of magnitude, thus revealing similar impact of different plant cover on hydraulic properties of sandy soil studied. In contrast to sandy soils used for agriculture, the influence of the plant/surface humus and topsoil interface extended in the form of a highly heterogeneous matrix flow to the depth of 50–60 cm, where it was dampened by horizontal layering.     

黄土高原六道沟流域不同土地利用方式下土壤水力特性及其对土壤水分的影响

采用地统计学中交互相关系数方法,对黄土高原六道沟流域农田、荒草地、林地、苜蓿地4种土地类型土壤剖面水力特性及其对水分分布的影响进行了分析.结果表明：研究区农田与荒草地的土壤特性相似,苜蓿地与林地相似;相同吸力条件下,土壤水分以农田最大、林地最小,而饱和导水率则相反;除土壤水分消耗期的林地和苜蓿地土壤水分随土层深度增加呈上升趋势外,其他时期各土地利用方式下土壤水分均随土层深度的增加而降低.土壤剖面饱和导水率与土壤含水量之间的影响程度依土壤水分条件而异：水分补偿期,剖面土壤饱和导水率对滞后其空间距离0～40 cm土层内的土壤含水量具有显著影响,而土壤水分含量对饱和导水率的影响范围为0～50 cm;水分稳定期,饱和导水率与土壤含水量的相互影响范围均在0～60 cm;水分补偿期和稳定期,二者之间为正相关;土壤水分消耗期,农田和荒草地饱和导水率与水分含量呈正相关,饱和导水率对土壤水分含量的影响范围在滞后其空间范围0～80 cm土层内,而土壤水分含量对饱和导水率的影响范围在0～60 cm内,林地和苜蓿地则呈负相关,相互影响范围均在0～60 cm土层内.     

Soil physical properties in relation to rice yield and water consumption under flooded and unflooded conditions

Summary Four paddy soils from Thailand were included in this investigation. The soils are described as marine alluvial, fresh water alluvial, hydromorphic alluvial and hydromorphic non-calcareous brown soil. The hydraulic conductivity of water saturated soil was determined on puddled samples, and soil moisture retention curves were recorded for unpuddled samples. In a pot experiment rice variety RD-1 was grown on the soils under flooded and unflooded conditions. For the soils studied a negative relationship was found between the hydraulic conductivity and the ability of the soil to retain water against a given suction. The grain yield was higher under flooded conditions, while among the various soils studied in this experiment grain yield increased with decreasing water content in the suction range studied and increasing hydraulic conductivity of the soils. Better root development facilitated by more favourable physical conditions in highly permeable soils could be the possible reason for the yield increase.     

Transport of water and solutes across bullfrog alveolar epithelium

Water and solute transport properties of the alveolar epithelium of isolated bullfrog lungs were studied. Lungs from Rana catesbeiana were removed and mounted in an Ussing chamber. Unstirred layers on both sides of the tissue were estimated from the time courses of dilution potential development, and the measured transport parameters were corrected for the effect of the unstirred layers. Spontaneous potential difference, short-circuit current, tissue resistance, instantaneous voltage-current relationships, diffusional permeabilities of water and hydrophilic solutes, and hydraulic conductivities were determined. The hydraulic conductivity obtained from hydrostatically driven water flow anomalously decreased with time, and was initially 100 -1,000 times higher than osmotically determined hydraulic conductivity. The equivalent pore radius of the bullfrog alveolar epithelium was estimated to be 0.8-0.9 nm. We conclude that the alveolar epithelium is extremely tight, presenting a major barrier to water and solute flow. This high resistance to water and solute flow may be helpful in maintaining the alveolar lumen relatively free of fluid under normal physiological conditions.     

煤矿复垦区土壤水动力学特性对下渗过程的影响

煤矿复垦区土壤水对植物生长、溶质运移以及土壤环境的变化起着至关重要的作用。定量揭示煤矿复垦区土壤水下渗过程是亟待诠释的关键科学问题。本研究通过测定典型矿区不同深度土壤非饱和导水率、容重、总孔隙度和粒径等水动力学参数,结合染色示踪试验,刻画矿区非饱和带土壤水运移过程。染色示踪结果显示30、60 L和90 L这3种实验下渗水量条件下,水流沿X方向侧向扩散的最大距离分别为10、30 cm和35 cm,沿Y方向侧向扩散的最大距离分别为10、25 cm和30 cm。互相关函数显示随着下渗水量增大,水流扩散作用也在加强,但过多水量并没有明显增加下渗深度和扩散距离。吸力大于300 hpa时,0.01—0.05 mm土壤粒径含量和非饱和导水率呈负相关关系;吸力和非饱和导水率采用指数函数拟合效果较好(r~20.9),对拟合参数a、b和土壤容重(x)进行回归分析:a=0.0015x~2-0.00499x+0.0004,b=0.0583x~2+0.1234x-0.072。同一吸力下土壤容重大的土样非饱和导水率较小;吸力值为300 hpa是非饱和导水率的转折点;非饱和导水率和土壤容重呈现负相关关系,和总孔隙度呈现正相关关系,且二者的相关性随吸力的增加而降低。     

三峡库区森林土壤大孔隙特征及对饱和导水率的影响

土壤大孔隙是土体内孔径较大能优先传导水分的根孔、洞穴或裂隙,大孔隙内优先流的产生是土壤水分运动研究由均衡走向非均衡的标志。利用原状土柱的水分穿透试验,对三峡库区山地不同林型覆盖下土壤的大孔隙结构进行了研究,分析了温性阔叶林棕壤、针阔混交林黄棕壤、暖性针叶林黄壤及弃耕草地剖面内大孔隙的剖面分布特征及其对土壤饱和导水率的影响。结果表明:研究区内森林土壤的大孔隙当量孔径在0.3—3 mm之间,占土壤总体积的0.15%—4.72%。大孔隙中孔径0.3—0.6 mm的大孔隙密度最大,占大孔隙总数量的72.2%—90.4%;而孔径1 mm的孔隙仅占大孔隙总数量的1.26%—8.55%。土壤大孔隙密度和大孔隙面积比的顺序为:温性阔叶林棕壤针阔混交林黄棕壤针叶林黄壤弃耕坡地。各孔径段的大孔隙密度在不同样点均呈现A层-B层-C层逐渐减小的趋势,大孔隙密度与有机质含量呈显著正相关关系。土壤饱和导水率与不同孔径大孔隙的密度、面积比均成显著正相关关系,孔径1mm的大孔隙仅占大孔隙总数量的1.26%—8.55%,但决定了饱和导水率84.7%的变异。此外,森林土壤饱和导水率与各土壤层的有机质含量成显著正相关关系,有机质的增多有利于改善土壤的入渗性能。     

土壤侵蚀与土地利用方式对黑土地土壤水气传输特性的影响

土壤侵蚀是东北黑土退化的主要原因之一,了解不同土地利用方式下土壤水气传输性质的差异,可以为黑土区水土资源的高效利用和保护提供科学依据。本研究选取东北黑土区典型的3种土地利用方式(农地、林地、撂荒地)进行0~5 cm土层原位土壤饱和导水率、导气率和相对气体扩散率的测定,探讨土壤侵蚀和土地利用方式对土壤水气传输性质的影响。结果表明:不同侵蚀程度农地之间以及不同土地利用方式之间土壤水气传输性质差异显著。重度侵蚀农地容重显著高于其他样地,未侵蚀农地容重显著低于其他样地。与未侵蚀农地相比,轻度、中度和重度侵蚀农地容重分别增加12.7%、17.6%和39.2%,饱和导水率分别降低84.4%、53.7%和12.7%,导气率分别降低94.6%、64.4%和14.0%,相对气体扩散率分别降低91.3%、82.6%和4.3%。松林地饱和导水率、导气率和相对气体扩散率较未侵蚀农地分别降低86.5%、83.0%和91.3%。沙棘林地饱和导水率、导气率和相对气体扩散率较未侵蚀农地分别降低51.7%、45.6%和82.6%,撂荒地饱和导水率、导气率和相对气体扩散率较未侵蚀农地分别降低16.2%、1.4%和73.9%。可以利用测得的土壤导气率、相对气体扩散率估算土壤饱和导水率。土壤侵蚀和土地利用方式显著影响黑土地土壤水气传输特性。     

非饱和土壤水力参数的模型及确定方法

土壤水力参数的选取和确定是土壤中水分运动和污染物迁移预测的基础,本文在国内外研究成果的基础上,综述了土壤水力参数的模型(土壤水分特征曲线模型、土壤导水率模型)及其直接测定法和间接推求法,并比较了土壤水力参数的模型及确定方法的适用性与局限性,以便为生态环境建设和农业可持续发展研究中土壤水力参数的选取提供依据。     

Sedimentary Residual Soil as a Waste Containment Barrier Material

Compacted soil liners are widely used as a waste containment barrier to control or restrict the migration of contaminant/leachate from the landfill into the environment because of their low hydraulic conductivity, attenuation capacity, resistance to damage or puncture, and cost effectiveness. Compacted soil liners are usually composed of natural inorganic clays or clayey soils. If natural clayey soils are not available, kaolinite or commercially available high swelling clay (bentonite) can be mixed with local soils or sand. This study examines the potential of a sedimentary residual soil as a waste containment barrier in landfills. The laboratory experiments conducted were: grain size distribution, Atterberg limits, swelling tests, compaction, volumetric shrinkage strain, unconfined compression, hydraulic conductivity and cation exchange capacity. The experimental results were compared with those recommended by various researchers for evaluation of its suitability. Test results showed that the soil compacted with modified Proctor compaction effort possesses low hydraulic conductivity (≤1 × 10^?7 cm/s) and adequate strength. In addition, compacted sedimentary residual soil exhibited little volumetric shrinkage strain of below 4% at this compaction effort. Thus, the sedimentary residual soil could be effectively used for the construction of a waste containment barrier in landfills.     

黄土高原生物结皮覆盖对风沙土和黄绵土溶质运移的影响

干旱和半干旱地区生物结皮的普遍发育显著改变了表层土壤的结构与养分富集特征,但其对土壤养分迁移和淋失的影响目前尚不明确。本研究针对黄土高原风沙土和黄绵土上发育的藓类生物结皮,以Ca²⁺和Cl^-为示踪离子开展溶质穿透试验,对有无生物结皮层及其覆盖下不同深度土壤的溶质运移特征进行了研究。结果表明: 在0～5 cm土层,生物结皮覆盖延缓了风沙土和黄绵土的溶质穿透过程,其Cl^-的穿透时间比无结皮延长了3.83(风沙土)和2.09倍(黄绵土),而Ca²⁺则分别延长了2.50和2.73倍。生物结皮覆盖条件下,表层0～5 cm土壤溶质完全穿透所对应的孔隙体积数比下层5～10 cm土壤更高,且其穿透历时更长;其中,Cl^-的穿透时间分别增加了67.3%(风沙土)和51.8%(黄绵土),Ca²⁺的穿透时间分别增加了8.0%和33.7%。生物结皮覆盖降低了土壤孔隙水流速(37.5%～70.2%);除风沙土的5～10 cm土层外,生物结皮使溶质弥散系数提高了1.73～6.29倍,使溶质弥散度提高了2.77～20.95倍。置换液完全穿透土壤后,风沙土和黄绵土的生物结皮层Ca²⁺含量显著高于无结皮,其分别比无结皮高4.14和2.58倍。研究证实,生物结皮覆盖能够提高表层土壤对养分的吸附与固持能力,从而减少土壤表聚养分的深层渗漏和流失,对干旱和半干旱地区退化土壤的肥力提升与植被恢复具有重要意义。     

Effectiveness of Road Ripping in Restoring Infiltration Capacity of Forest Roads

Many forest roads are being closed as a step in watershed restoration. Ripping roads with subsoilers or rock rippers is a common practice to increase the infiltration capacity of roads before closure. When considering the effectiveness of ripping for reducing runoff and erosion and the potential reduction in slope stability by saturating road fills, it is important to know how ripping changes the infiltration capacity of forest roads. Hydrographs from simulated rainfall on 1 × 1 m plots were analyzed to find the saturated hydraulic conductivity, an indicator of infiltration capacity. I examined saturated hydraulic conductivity for three treatments on two different soils. One road was built in a soil derived from the metamorphic belt series geology of northern Idaho, a soil noted for its high rock fragment content. The second road was built in a sandy soil derived from decomposed granitics of the Idaho batholith. On each soil, five plots were installed on a road before ripping, and nine plots were installed on the same road segment following ripping, four covered with a heavy straw mulch and five without. Three half-hour rainfall events with intensities near 90 mm/hr were simulated on each plot. Results show that ripping increases hydraulic conductivities enough to reduce risk of runoff but does not restore the natural hydraulic conductivity of a forested slope. The unripped road surfaces had hydraulic conductivities in the range of 0–4 mm/hr, whereas ripped roads were in the range of 20–40 mm/hr after the second event. Surface sealing and tilled soil subsidence processes are important in reducing the hydraulic conductivity of the soils with repeated wetting. Subsidence appears to be important on the granitic soil, whereas surface sealing was more important on the belt series soil.     

A mixture theory analysis for passive transport in osmotic loading of cells

The theory of mixtures is applied to the analysis of the passive response of cells to osmotic loading with neutrally charged solutes. The formulation, which is derived for multiple solute species, incorporates partition coefficients for the solutes in the cytoplasm relative to the external solution, and accounts for cell membrane tension. The mixture formulation provides an explicit dependence of the hydraulic conductivity of the cell membrane on the concentration of permeating solutes. The resulting equations are shown to reduce to the classical equations of Kedem and Katchalsky in the limit when the membrane tension is equal to zero and the solute partition coefficient in the cytoplasm is equal to unity. Numerical simulations demonstrate that the concentration-dependence of the hydraulic conductivity is not negligible; the volume response to osmotic loading is very sensitive to the partition coefficient of the solute in the cytoplasm, which controls the magnitude of cell volume recovery; and the volume response is sensitive to the magnitude of cell membrane tension. Deviations of the Boyle-van't Hoff response from a straight line under hypo-osmotic loading may be indicative of cell membrane tension.