Spatial variation of flow characteristics in a subarctic meandering river in ice-covered and open-channel conditions: A 2D hydrodynamic modelling approach

To be able to understand year-round river channel evolution both at present and in the future, the spatial variation of the flow characteristics and their sediment transport capabilities under ice cover need to be detected. As the measurements done through cross-sectional drill holes cover only a small portion of the river channel area, the numerical simulations give insight into the wider spatial horizontal variation of the flow characteristics. Therefore, we simulate the ice-covered flow with a hydrodynamic two-dimensional (2D) model in a meandering subarctic river (Pulmanki River, Finland) in mid-winter conditions and compare them to the pre-winter open-channel low flow situation. Based on the simulations, which are calibrated with reference measurements, we aim to detect (1) how ice-covered mid-winter flow characteristics vary spatially and (2) the erosion and sedimentation potential of the ice-covered flow compared to open-channel conditions. The 2D hydrodynamic model replicated the observed flow characteristics in both open-channel and ice-covered conditions. During both seasons, the greatest erosional forces locate in the shallow sections. The narrow, freely flowing channel area found in mid-winter cause the main differences in the spatial flow variation between seasons. Despite the causes of the horizontal recirculating flow structures being similar in both seasons, the structures formed in different locations depended on whether the river was open or ice covered. The critical thresholds for particle entrainment are exceeded more often in open-channel conditions than during ice-covered flow. The results indicate spatially extensive sediment transport in open-channel conditions, but that the spatial variability and differences in depositional and erosional locations increase in ice-covered conditions. Asymmetrical bends and straight reaches erode throughout the year, whereas symmetrical, smaller bends mainly erode in open-channel conditions and are prone to deposition in winter. The long ice-covered season can greatly affect the annual morphology of the submerged channel. © 2019 John Wiley & Sons, Ltd.     

Mathematical modeling of the transportation competency of an ice-covered flow

A two-dimensional model was developed to study the effect of ice cover on the transportation competence of ice-covered flows. The model is based on the equations of motion, impurity transfer, turbulence energy, and the ratio of turbulent energy to turbulent kinetic energy with allowance made to the effect of turbulent energy bursts on solid surfaces bounding the flow. The turbulent bursts on solid boundaries of open and ice-covered flows are shown to have no effect on the structure of flows, characterized by their aver-aged characteristics, but considerably change the distribution of suspended sediment concentrations.     

Experimental investigation of sediment transport in partially ice-covered channels

It is important to understand the effects of ice cover on sediment transport in cold climates, where sub-freezing temperatures affect water bodies for a significant part of the year. The literature contains many studies on sediment transport in open channel flow, and several studies on sediment transport in completely ice-covered flow. There has been little or no research on sediment transport in partially ice-covered channels. In the current study, laboratory experiments were done in a rectangular flume to quantify the impact of border ice presence on the sediment transport rate. The effects of ice cover extent and changing flow strengths on sediment transport distribution also were investigated, and the results were compared to those for fully ice-covered and open channel flow. The ice coverage ratios considered were 0 (representing the open water condition), 0.25, 0.50, 0.67, and 1 (representing fully ice-covered flow). The partial ice cover was found to impact the sediment transport distribution within the channel. The effect of ice coverage extent on sediment transport distribution was more significant at lower flow strengths and became negligible at higher flow strengths. The conventional equations for sediment transport in open channel flow and fully ice-covered flow that relate the dimensionless bedload transport rate to the flow strength were found to be applicable to estimate the total cross-section-averaged bedload transport for partially ice-covered flow when modified appropriately. Empirical coefficients for these equations were determined using the experimental data.     

Local scour around two side-by-side cylindrical bridge piers under ice-covered conditions

In the current study, 108 flume experiments with non-uniform, cohesionless sediments have been done to investigate the local scour process around four pairs of side-by-side bridge piers under both open channel and ice-covered flow conditions. Similar to local scour around bridge piers under open channel conditions and a single bridge pier, it was observed in the experiments that the maximum scour depth always occurred at the upstream face of the pier under ice-covered conditions. Further, the smaller the pier size and the greater the spacing distance between the bridge piers, the weaker the horseshoe vortices around the bridge piers, and, thus, the shallower the scour holes around them. Finally, empirical equations were developed to estimate the maximum scour depth around two side-by-side bridge piers under both open channel and ice-covered flow conditions.     

冰封期湖泊溶解氧变化特征及代谢速率

冰封期湖泊与大气的气体交换受冰盖阻碍,影响湖泊溶解氧含量,进而影响湖泊水质.为探究冰封期湖泊溶解氧和新陈代谢速率变化特征及影响因素,本研究通过监测典型季节性冰封湖泊不同深度的溶解氧(DO)、水温和光合有效辐射(PAR),结合水质检测结果,分析冰封期湖泊DO变化及代谢速率影响因素,对湖泊日新陈代谢速率计算方法进行改进并估算冰封期湖泊新陈代谢速率.结果表明：2021年1—3月间,岱海DO浓度平均值为15.49 mg/L,并出现昼夜变化和分层现象.DO在冰封期变化趋势呈现出先逐渐升高,然后保持稳定,进入消融期(2021年3月2—11日)分层现象逐渐消失的规律.岱海冰封期净初级生产力和生态系统呼吸速率平均值分别为0.11和0.10 mg/(L·d),在水温未出现分层时净初级生产力呈现较高水平;之后水温沿水深方向出现分层,净初级生产力明显下降;当冰层融化后,PAR显著上升,净初级生产力又逐渐恢复至0.10 mg/(L·d).统计分析表明,岱海冰封期DO与水温、PAR、总氮等变化具有一定相关关系,且由于湖泊流域生态环境条件及冰封期物候特征不同,岱海与内蒙古其他湖泊相比,冰封期DO变化趋势存在一定差...     

Sediment transport in ice-covered channels

The existence of ice cover has important effects on sediment transport and channel morphology for rivers in areas with an annual occurrence of an ice season. The interaction of sediment transport and s...     

Ecological network analysis of an urban energy metabolic system

Analysis of the structure and function of urban energy metabolic systems is an important tool to facilitate compliance with China’s current energy-conservation policy. In this study, we used network throughflow analysis and network utility analysis to analyze the structure of an urban energy metabolic system and the complex relationships among its components. Using weight distributions in the network flow matrix, we determined the system structure; using the sign distribution in the network utility matrix, we determined the relationships between pairs of components. We then developed an ecological network model using Beijing in 1995, 2000, 2005, and 2007 as an example of how the model can be used to understand the system’s structure and function. The model’s components were the energy exploitation, transformation, consumption, and recovery sectors. Network throughflow analysis revealed that the energy transformation and consumption sectors had high weights (34–45%) in all 4 years, whereas the energy recovery sector had small weights (<5%) and the energy exploitation had low to intermediate weights (which decreased from 23% in 1995 to 11% in 2007). Network utility analysis revealed that the ecological relationships between the energy transformation and exploitation sectors, the energy consumption and transformation sectors, and the energy consumption and exploitation sectors did not change, but that the ecological relationships between the energy recovery sector and other sectors changed greatly. Our analysis of Beijing’s urban energy metabolic system provided guidance for optimizing the system’s structure and adjusting the relationships among the sectors.     

An analysis of the mechanism of flow in ice-covered rivers

The paper presents a mechanism of flow of water in an ice-covered river in the case of movable bottom. The analysis is based upon the principal hydrodynamics equations of turbulent flow in the case of steady uniform motion. It leads to the conclusion of linear distribution of the turbulent shear stress with depth. It allows to obtain the vertical distribution of velocity of flowing water under the assumption that at the boundaries (movable bottom and ice) the viscosity of water is greater than the kinematics viscosity. The relations describing the vertical distribution of velocity of flowing water, as well as the eddy viscosity coefficient under these conditions, are given.     

A technique for evaluating flow parameters in water bodies with a highly heterogeneous depth

A method is proposed for calculating the hydrodynamic parameters of flows in water bodies with shallow and deep zones. Calculation of flow parameters in the Sea of Azov is given as an example.Translated from Vodnye Resursy, Vol. 32, No. 1, 2005, pp. 55–60.Original Russian Text Copyright © 2005 by Chikin.     

Velocity profiles and incipient motion of frazil particles under ice cover

A series of experiments for the incipient motion of frazil particles under ice cover have been carried out in laboratory under different flow and boundary conditions.Measurements on flow velocities across the measuring cross-section at different water depths have been conducted.Based on these experiments under both ice-covered and open flow conditions,the impacts of solid boundary(such as ice cover and flume sidewall) on the distribution of flow velocity profiles have been discussed.The criteria for the inc...     

EFFECTS OF RIVER ICE ON STAGE-DISCHARGE RELATIONSHIPS——A CASE STUDY OF THE YELLOW RIVER

Using field observations at four gauging stations along the Inner Mongolia Reach of the Yellow River in China, this paper explores effects of the ice on the hydraulics of this river reach for four different conditions, namely: under open channel flow, during ice-running period, the ice-covered period, and the river break-up period. The rating curves were found to be well recognized under open channel situations, but were sometimes poorly defined and extremely variable under ice conditions. The results also show that the water level is insensitive to flowing ice prior to freeze-up. However, significant, but hardly surprising, variations were observed during ice-covered conditions. The rating curves for both the ice covered condition and river ice breakup period are developed and some related hydraulic issues are examined. Additionally, the impacts of the ice accumulation and associated riverbed deformation during ice period on the rating curves are discussed.     

EFFECTS OF RIVER ICE ON STAGE——DISCHARGE RELATIONSHIPS

Using field observations at four gauging stations along the Inner Mongolia Reach of the Yellow River in China, this paper explores effects of the ice on the hydraulics of this river reach for four different conditions, namely: under open channel flow, during ice-running period, the ice-covered period, and the river break-up period. The rating curves were found to be well recognized under open channel situations, but were sometimes poorly defined and extremely variable under ice conditions. The results also show that the water level is insensitive to flowing ice prior to freeze-up. However, significant, but hardly surprising, variations were observed during ice-covered conditions. The rating curves for both the ice covered condition and river ice breakup period are developed and some related hydraulic issues are examined. Additionally, the impacts of the ice accumulation and associated riverbed deformation during ice period on the rating curves are discussed.     

Back‐calculation of bedload transport in steep channels with a numerical model

In August 2005 severe flood events occurred in the Alps. A sediment routing model for steep torrent channel networks called SETRAC has been applied to six well‐documented case study streams with substantial sediment transport in Austria and Switzerland. For these streams information on the sediment budget along the main channel is available. Flood hydrographs were reconstructed based on precipitation data and stream gauges in neighbouring catchments. Different scenarios are modelled and discussed regarding sediment availability and the effect of armouring and macro‐roughness on sediment transport calculations. The simulation results show the importance of considering increased flow resistance for small relative flow depth when modelling bedload transport during high‐intensity flood events in torrents and mountain rivers. Without any correction of increased flow resistance using a reduced energy slope, the predicted bedload volumes are about a factor of 10 higher on average than the observed values. Simulation results were also used for a back‐calculation of macro‐roughness effects from bedload transport data, and compared with an independent estimate of flow resistance partitioning based on flow resistance data. Copyright © 2010 John Wiley & Sons, Ltd.     

富营养湖泊冰封期物理因子对初级生产力的驱动作用：以辽宁含章湖为例

与非冰封期水体相比,冰封期湖泊初级生产力的研究较为薄弱,一方面在于完整冰封期的调查观测数据仍然较少,而完整的冰下初级生产力变化过程对于理解冰下生态系统对环境因子的响应至关重要,另一方面物理过程与冰下生态的联系仍然有待明确。本研究于2021 2022年冬季期间在大辽河口沿岸的含章湖开展野外调查,通过垂向归纳模型（vertically generalized production model,VGPM）计算了冰下初级生产力,分析了冰封期中初级生产力完整的变化过程,并探讨了冰封期初级生产力的关键物理驱动因素。结果表明：冰封期初级生产力呈现波动爬升的趋势,平均值为0.20 g C/（m2·d）;整个冰封期可以划分为3个时期,即结冰期、缓慢融冰期和快速融冰期,不同时期初级生产力的关键驱动因子不同,在结冰期水温是控制初级生产力的关键因素,在缓慢融冰期冰水界面光合有效辐射强度（photosynthetically active radiation,PAR）是控制初级生产力的关键因素,在快速融冰期水温和冰水界面PAR同时控制初级生产力。在结冰期冰下水体富营养化程度逐渐增加,在融冰期初级生产力随着升温和...     

Fjord–shelf exchanges controlled by ice and brine production: The interannual variation of Atlantic Water in Isfjorden,Svalbard

Exchanges between oceanic and coastal waters are fundamental in setting the hydrography of arctic shelves and fjords. In West Spitsbergen, Atlantic Water from the West Spitsbergen Current exchanges with the seasonally ice-covered waters of the coast and fjords causing a major annual shift in hydrographic conditions. The extent to which Atlantic Water dominates the fjord systems shows significant interannual variability. Hydrographic sections taken between 1999 and 2005 from Isfjorden and the adjacent shelf have been analyzed to identify the causes of the variability in Atlantic Water occupation of the fjord system. By treating the fjord system as a coastal polynya and running a polynya model to quantify the salt release each winter, we conclude that the critical parameter controlling fjord–shelf exchange is the density difference between the fjord water masses and the Atlantic Water. We provide a full dynamical mechanism for the interaction between water masses at the fjord entrance to rationalize the interannual variability.     

Multi-scale analysis for transport of fine settling particles through an ice-covered channel in a laminar flow condition

The current research deals with the dispersion of fine settling particles in a fluid flowing through an icecovered channel under the laminar flow condition. An analytical solution of the two-dimensional convection-diffusion equation, based on the multi-scale homogenization technique, is obtained. To validate the current study, analytical results for the dispersion coefficient are compared with the available earlier research work. Moreover, the proposed analytical solutions for mean concentration...     

Two-Dimensional Horizontal Numerical Model of Open Flow over a Bed with Obstacles

An explicit numerical algorithm for solving two-dimensional system of shallow-water equations is presented. The algorithm is based on the control volume method with recording mass and momentum fluxes through the faces of the volume with the use of an approximate solution of the Riemann problem. A numerical solution is compared with analytical solutions for a flow over a bottom step and with data of laboratory experiments in a flume with a sloped bed or a bed with an obstacle.__________Translated from Vodnye Resursy, Vol. 32, No. 3, 2005, pp. 282–294.Original Russian Text Copyright © 2005 by Prokofev.     

Two-dimensional kinematic and rheological modeling of the 1912 pyroclastic flow,Katmai, Alaska

Pyroclastic flow emplacement is strongly influenced by eruption column height. A surface along which kinetic energy is zero theoretically connects the loci of eruption column collapse with all coeval ignimbrite termini. This surface is reconstructed as a two-dimensional energy line for the 1912 Katmai pyroclastic flow in the Valley of Ten Thousand Smokes from mapped flow termini and the runup of the ignimbrite onto obstructions and through passes. Extrapolation of the energy line to the vicinity of the source vent at Novarupta suggests the eruption column which generated the ignimbrite eruption was approximately 425 m high. The 1912 pyroclastic flow travelled about 25 km downvalley. Empirical velocity data calculated from runup elevations and surveyed centrifugal superelevations indicate initial velocities near Novarupta were greater than 79–88 m s^–1. The flow progressively decelerated and was travelling only 2–8 m s^–1 when it crossed a moraine 16 km downvalley. The constant slope of the energy line away from Novarupta suggests the flow was systematically slowed by internal and basal friction. Using a simple physical model to calculate flow velocities and a constant kinetic friction coefficient (Heim coefficient) of 0.04 derived from the reconstructed energy line, the flow is estimated to have decelerated at an average rate of –0.16 m s^–2 and to have taken approximately 9.5 minutes to travel 25 km down the Valley of Ten Thousand Smokes. The shear strength of the flowing ignimbrite at the moraine was approximately 0.5 kPa, and its Bingham viscosity when it crossed the moraine was 3.5 × 10³ P. If the flow was Newtonian, its viscosity was 4.2 × 10³ P. Reynolds and Froude numbers at the moraine were only 41–62 and 0.84–1.04, respectively, indicating laminar, subcritical flow.