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Variational Identification of Input Parameters in the Model of Distribution of the Pollutants from the Underwater Source 水下污染源分布模型输入参数的变分辨识
IF 0.8 Q3 Earth and Planetary Sciences Pub Date : 2019-12-01 DOI: 10.22449/0233-7584-2019-6-621-632
S. Kochergin, V. Fomin
Purpose. The aim of the paper is to construct and to validate the variational procedure for determining the pollutant concentration and the water flow out velocity at the underwater source exit, as well as to analyze the algorithm sensitivity to the level of random noise in the measurement data. Methods and Results. The flow field was calculated using the three-dimensional baroclinic σ-coordinate model of water circulation. Realization of the pollution transfer model included application of the TVD-type monotone schemes. The temperature and salinity initial profiles were preset based on the results of probing in the area of the underwater release, and the characteristic velocity of the back-ground currents was defined using the data of the ADCP-measurements. The input parameters of the problem were identified by means of the iterative procedure for minimizing the quadratic functional. The numerical experiments on identifying parameters of the underwater pollution source showed that if noise was left out of account, the original parameters were reconstructed with a relative error < 1%. It is shown that the identification problem becomes of better conditionality in case the data from more informative points of the measurement scheme are assimilated. Conclusions. Based on the analysis of the numerical experiments, the linearization algorithm is shown to be able to identify the parameters of the underwater source. The proposed algorithms can be used to solve a wide class of environmental problems, as well as to interpret and to plan the field experiments aimed at studying the wastewater distribution in the coastal waters.
意图本文的目的是构建和验证确定水下水源出口污染物浓度和水流速度的变分程序,并分析算法对测量数据中随机噪声水平的敏感性。方法和结果。采用三维斜压σ坐标水循环模型计算了流场。污染转移模型的实现包括TVD型单调方案的应用。温度和盐度的初始剖面是根据水下释放区域的探测结果预先设定的,并且使用ADCP测量数据定义了回流的特征速度。通过最小化二次函数的迭代过程来识别问题的输入参数。对水下污染源参数识别的数值实验表明,如果不考虑噪声,可以重建原始参数,相对误差<1%。结果表明,如果来自测量方案的更多信息点的数据被同化,则识别问题具有更好的条件性。结论。在数值实验分析的基础上,证明了线性化算法能够识别水下声源的参数。所提出的算法可用于解决一系列环境问题,也可用于解释和规划旨在研究沿海水域废水分布的现场实验。
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引用次数: 0
Variational Data Assimilation in the Mathematical Model of the Black Sea Dynamics 黑海动力学数学模型中的变分资料同化
IF 0.8 Q3 Earth and Planetary Sciences Pub Date : 2019-12-01 DOI: 10.22449/0233-7584-2019-6-585-599
V. Agoshkov, V. Shutyaev, E. Parmuzin, N. Zakharova, T. Sheloput, N. Lezina
Purpose. In order to simulate the sea hydrothermodynamics, the problem of variational assimilation of the sea surface temperature data is solved. The data assimilation permits to adjust the numerical model calculations to the measurement data obtained in the environment under study. Methods and Results. The mathematical model of hydrothermodynamics of the Black and Azov seas, developed at the Institute of Numerical Mathematics of RAS and written in the sigma coordinate system, is considered. The distinctive feature of the model consists in applying the splitting method to physical processes and spatial coordinates that can significantly simplify the variational data assimilation algorithm. The problem of variational assimilation of the sea surface temperature data is formulated. A cost functional has been introduced; it includes the control function – heat flux at the sea upper boundary and satellite observations of the sea surface temperature. The necessary condition for the functional minimum is reformulated through the optimality system including the direct and adjoint problems, and the control condition. Using the variational assimilation of the satellite-derived observations, the algorithm for solving the stated problem was developed. It takes into account the observational errors’ covariance matrix calculated based on the statistical characteristics of the sea surface temperature observational data. The algorithm implies a sequential solution of the optimality system in the iterative process with the specially selected iterative parameter. The results of numerical solution of this problem are represented by the example of the Black and Azov seas. Conslusion. The results of numerical modeling with the observational data assimilation and without it are compared; efficiency of the observational data assimilation procedures is shown. Influence of the sea surface temperature assimilation upon the other system parameters is investigated. It is shown that when assimilating the sea surface temperature, only temperature in the upper layers is affected, whereas, provided that the depth is sufficient, the profile in the lower layers remains practically unchanged. The impact on the other system parameters is either minimal or not manifested at all.
目的。为了模拟海洋水热力学,解决了海面温度资料的变分同化问题。数据同化可以使数值模型的计算与所研究环境中的测量数据相适应。方法与结果。本文考虑了由俄罗斯科学院数值数学研究所开发的以西格玛坐标系表示的黑海和亚速海流体热力学数学模型。该模型的独特之处在于将分裂方法应用于物理过程和空间坐标,大大简化了变分数据同化算法。提出了海面温度资料的变分同化问题。引入了成本函数;它包括控制函数-海上界热通量和海表温度的卫星观测。通过最优性系统,包括直接问题和伴随问题,以及控制条件,重新表述了函数最小值的必要条件。利用卫星观测资料的变分同化,提出了求解上述问题的算法。它考虑了根据海面温度观测资料统计特征计算的观测误差协方差矩阵。该算法在选定的迭代参数下,在迭代过程中实现最优性系统的顺序解。以黑海和亚速海为例,说明了该问题的数值解的结果。Conslusion。比较了同化观测资料和不同化观测资料的数值模拟结果;证明了观测资料同化过程的有效性。研究了海温同化对其他系统参数的影响。结果表明,在吸收海表温度时,只有上层的温度受到影响,而在深度足够的情况下,下层的剖面几乎保持不变。对其他系统参数的影响要么很小,要么根本不表现出来。
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引用次数: 3
Resonance Oscillations in the System of Adjacent Bays 邻湾系统的共振振荡
IF 0.8 Q3 Earth and Planetary Sciences Pub Date : 2019-10-01 DOI: 10.22449/1573-160x-2019-5-374-386
Yu. V. Manilyuk, D. Lazorenko, V. Fomin
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引用次数: 1
Accuracy Estimation of the Black Sea Circulation Modeling Results Obtained at Different Bottom Topography 不同海底地形条件下黑海环流模拟结果的精度估计
IF 0.8 Q3 Earth and Planetary Sciences Pub Date : 2019-10-01 DOI: 10.22449/1573-160x-2019-5-387-396
A. Bukatov, E. A. Pavlenko, N. M. Solovei
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引用次数: 0
Results of Monitoring the Surface Fields Dynamics in the Black Sea Waters Using a Ferry Box System 使用Ferry Box系统监测黑海水域表面场动力学的结果
IF 0.8 Q3 Earth and Planetary Sciences Pub Date : 2019-09-01 DOI: 10.22449/1573-160x-2019-4-341-349
A. S. Kuznetsov, Yu.I. Shapovalov, R. O. Shapovalov
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引用次数: 1
ЧИСЛЕННОЕ ИССЛЕДОВАНИЕ ВЛИЯНИЯ ВЕТРОВОЙ СИТУАЦИИ В ТАГАНРОГСКОМ ЗАЛИВЕ НА УРОВЕНЬ ВОДЫ В ДЕЛЬТЕ ДОНА, "Наука юга России" 数值研究塔甘罗格湾风力对三角洲地区水位的影响,“俄罗斯南部科学”
IF 0.8 Q3 Earth and Planetary Sciences Pub Date : 2019-08-09 DOI: 10.22449/0233-7584-2019-4-355-366
Алексей Львович Чикин, А. В. Клещенков, Любовь Григорьевна Чикина
Представлена математическая модель, объединяющая в себе две модели: модель гидродинамики Азовского моря и модель движения воды в основных рукавах дельты Дона. Предложенный подход позволяет по рассчитанным значениям уровня воды в принимающем водоеме определять гидродинамические характеристики руслового потока в основных рукавах дельты Дона в зависимости от ветровой ситуации в Азовском море и Таганрогском заливе. Это особо ценно для бесшовного анализа общей гидродинамики в устьевой области Дона, что может оказаться полезным в будущем для оценки транспорта общей взвеси, микропластика, интрузий соленых вод и исследования иных типов загрязнения. Сравнение наблюдавшихся и расчетных значений уровня воды в исследованной области демонстрирует удовлетворительное качество получаемых результатов, что говорит о достаточной адекватности представленной модели, однако расчетные значения в основном несколько завышены по сравнению с зарегистрированными данными. Возможна дополнительная корректировка расчетных значений с помощью поправочных коэффициентов. Предлагаемая методика может применяться и для других водоемов при совместном расчете течений в устьевых руслах и ветровых течений в принимающем водоеме.
这是一个数学模型,结合了两个模型:亚速海的水动力学模型和唐三角洲的水运动模型。拟议的方法允许根据阿佐夫海和塔甘罗格湾的风向情况,根据东唐三角洲主要支流的水位计算的水位来确定流水动力学特征。这对于在don的口腔区域分析一般流体动力学特别有价值,这可能有助于评估整体重量、微塑料、盐水渗透性以及其他类型的污染的未来。研究区域的监测和计算水位的比较显示出令人满意的结果质量,表明所提供的模型足够充分,但与所记录的数据相比,计算值大体上被夸大了。可以通过修正系数对计算值进行额外的调整。建议的方法也可以应用于其他水体,同时计算接收池中的口腔和风流。
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引用次数: 2
Accuracy Estimation of the Black Sea Circulation Modeling Results Obtained at Different Bottom Topography 不同海底地形条件下黑海环流模拟结果的精度估计
IF 0.8 Q3 Earth and Planetary Sciences Pub Date : 2019-07-01 DOI: 10.22449/0233-7584-2019-4-341-354
O. Dymova, N. Miklashevskaya
Purpose. Accuracy of the reconstructed hydrophysical fields calculated using different data on bottom topography is estimated in order to determine the depth array corresponding to the modern tasks of the Black Sea circulation modeling with high spatial resolution. Methods and Results. Two numerical experiments on modeling the circulation were carried out based on the Marine Hydrophysical Institute, Russian Academy of Sciences (MHI RAS) ocean model. Horizontal resolution was 1.6 km, 27 irregular z -horizons were preset vertically and the SKIRON/Eta data (2011) were used as the atmospheric forcing for both cases. Difference between the experiments consisted in application of different bathymetry. In the first experiment, the bottom topography was preset in accordance with the Black Sea depths from the MHI Ocean Data Bank with the 5-minute resolution; in the second one – based on the European Marine Observation and Data Network (EMODnet) depth array with the 1/8ꞌ resolution. The calculated hydrophysical fields were compared with the temperature and salinity measurements, and satellite images of the sea surface temperature. The analysis showed that application of the depths data of higher resolution permitted to improve accuracy of thermohydrodynamic characteristics of the Black Sea circulation in the 30–300 m layer. The integral values of the eddy kinetic energy and the mean current kinetic energy for two experiments were also considered for both of the experiments. The results of the comparative analysis demonstrate the fact that, at the bottom topography with higher resolution taken into account, in the simulated system the mechanisms of energy redistribution between currents and eddies changed during intensive storm impacts. Conclusions. The results of the present research permit to conclude that in the experiment with a smoother bottom relief, increase of kinetic energy both of the eddies and currents was due to barotropic instability. In case of more complex bathymetry, the eddy kinetic energy increased mainly owing to the processes associated with baroclinic instability. eddy, kinetic energy. Acknowledgements: t he authors are grateful to the reviewers for their helpful comments. Experi ment 1 and comparative analyses were performed in the framework of the state task № 0827-2019-0003 “Fundamental study of oceanological processes conditioning state and evolution of marine environment under effect of anthropogenic factors based on observational and modeling methods”. The EMODnet data adaptation for the MHI-model and experiment 2 were carried out under support of the Russian Foundation for Basic Research (project No. 18-05-00353 A).
意图为了确定与高空间分辨率黑海环流建模的现代任务相对应的深度阵列,估计了使用不同海底地形数据计算的重建水物理场的精度。方法和结果。在俄罗斯科学院海洋水文研究所(MHI-RAS)海洋模型的基础上,进行了两次模拟环流的数值实验。水平分辨率为1.6km,垂直预设了27个不规则z层,并使用SKIRON/Eta数据(2011)作为两种情况下的大气强迫。实验之间的差异在于不同测深法的应用。在第一次实验中,根据MHI海洋数据库中的黑海深度以5分钟的分辨率预设了海底地形;第二个是基于欧洲海洋观测和数据网(EMODnet)的深度阵列ꞌ 决议将计算的水物理场与温度和盐度测量值以及海面温度的卫星图像进行了比较。分析表明,应用更高分辨率的深度数据可以提高30–300米层黑海环流热流体动力学特征的准确性。两个实验都考虑了涡流动能和平均电流动能的积分值。比较分析的结果表明,在考虑到更高分辨率的底部地形时,在模拟系统中,洋流和涡流之间的能量再分配机制在强烈风暴影响期间发生了变化。结论。本研究的结果表明,在底部起伏更平滑的实验中,涡流和海流动能的增加都是由于正压不稳定性造成的。在更复杂的测深情况下,涡流动能的增加主要是由于与斜压不稳定性相关的过程。涡流,动能。鸣谢:作者感谢审稿人的宝贵意见。实验1和比较分析是在国家任务的框架内进行的№ 0827-2019-0003“基于观测和建模方法的人为因素影响下海洋环境条件状态和演化的海洋过程基础研究”。MHI模型和实验2的EMODnet数据改编是在俄罗斯基础研究基金会(项目编号18-05-00353A)的支持下进行的。
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引用次数: 1
Internal Waves on the Black Sea Shelf near the Heracles Peninsula: Modeling and Observation 赫拉克勒斯半岛附近黑海大陆架的内波:建模和观测
IF 0.8 Q3 Earth and Planetary Sciences Pub Date : 2019-07-01 DOI: 10.22449/0233-7584-2019-4-322-340
V. Ivanov, T. Shul’ga, A. Bagaev, A. Medvedeva, T. Plastun, L. Verzhevskaia, I. A. Svishcheva
Purpose . The purpose consists in a combined analysis of satellite observations of surface manifestations of internal waves near the Crimean coast and the results of numerical simulation of influence of seasonal thermohaline conditions and the relief on their structure, dynamics and intensification. Methods and Results. Based on the analysis of remote sensing data using high-resolution sensors of the Landsat -8 and Sentinel -2 satellites and the theoretical estimates, the main spatial and temporal characteristics of the internal waves on the Black Sea shelf near the Heracles Peninsula were determined. According to the temperature and salinity data obtained from the satellite measurements and the research vessels measurements in 1951–2008 from the Oceanographic Data Bank of Marine Hydrophysical Institute, the structure of density stratification was investigated, and buoyancy frequency profiles in the shelf and slope area from Yevpatoria to Yalta were obtained. Vertical velocity profiles of internal waves of the first three modes on the shelf were constructed. It was revealed that phase velocity of the internal waves of the first mode in the deep-sea part varied within the range of 2.6–5 m/s, the waves of the second mode – within 1.1–2.3 m/s, and the waves of the third mode – within 0.7–1.4 m/s. The average length of the waves detected from the satellite data was 0.4 km; the longest waves, about 1.1 km, were observed most often between Yevpatoria and Sevastopol, propagating predominantly to the northeast. Within the same train, wave dispersion occurred resulting in the wavelength diminution to 0.1–0.3 km. Conclusions. The stated assumption on the cause of generation of intense internal waves conditioned by the interaction of the Rim Current jet with the shelf edge was confirmed by the results of numerical calculations. Spatial and temporal characteristics of the internal waves, the integrated data of remote sensing and the modeling results make it possible to estimate vertical exchange at the shelf and to determine the depth of the maximum Brunt–Väisälä frequency.
意图目的是综合分析克里米亚海岸附近内波表面表现的卫星观测结果,以及季节性温盐条件及其起伏对其结构、动力学和增强的影响的数值模拟结果。方法和结果。基于陆地卫星-8号和哨兵-2号卫星高分辨率传感器的遥感数据分析和理论估计,确定了赫拉克勒斯半岛附近黑海陆架内波的主要时空特征。根据海洋水文研究所海洋数据库1951-2008年卫星测量和研究船测量获得的温度和盐度数据,研究了密度分层的结构,获得了叶夫帕托里亚至雅尔塔大陆架和斜坡区的浮力频率剖面。构造了陆架上前三种模式内波的垂直速度剖面。结果表明,第一种模式的内波在深海部分的相速度在2.6–5 m/s范围内变化,第二种模式的波在1.1–2.3 m/s范围内,第三种模式的波在0.7–1.4 m/s范围内。从卫星数据中探测到的波的平均长度为0.4公里;最长的波浪约1.1公里,最常见于叶夫帕托利亚和塞瓦斯托波尔之间,主要向东北方向传播。在同一列车内,出现了波散射,导致波长减小到0.1–0.3公里。结论。数值计算结果证实了关于由环流喷流与陆架边缘的相互作用引起的强烈内波产生原因的假设。内波的空间和时间特征、遥感综合数据和建模结果使估计陆架的垂直交换和确定最大Brunt–Väisälä频率的深度成为可能。
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引用次数: 6
Energy Characteristics of the Marmara Sea Water Circulation in 2008 2008年马尔马拉海水环流的能量特征
IF 0.8 Q3 Earth and Planetary Sciences Pub Date : 2019-07-01 DOI: 10.22449/0233-7584-2019-4-307-321
S. Demyshev, S. V. Dovgaya, M. Shokurov
Purpose. The main objectives of the study consisted in analyzing the Marmara Sea energy and in identifying the basic reasons for formation of its circulation features in 2008. Methods and Results. The numerical experiment on modeling the Marmara Sea circulation and evaluating its energy characteristics on the example of 2008 was carried out based on the eddyresolving nonlinear hydrodynamic model of Marine Hydrophysical Institute, RAS. The horizontal resolution of the model was 1.22 × 0.83 km, 18 horizons were used over vertical and the time step was 0.5 min. Temperature, salinity and water discharge through the Bosporus and the Dardanelles were preset according to the available measurement data. The applied fields of atmospheric forcing were obtained from the calculation by the regional atmospheric model MM5. The volume-integrated and year-averaged contributions of the terms in the equations of the kinetic and potential energy budgets were analyzed. The basic factors of change in the Marmara Sea kinetic energy consisted in the buoyancy force action, wind, and vertical and horizontal mixing. Having been analyzed, the volume-average summands in the equation of rate of the kinetic energy change have shown that the wind-induced energy influx was compensated mainly by vertical friction, and the buoyancy force action – by horizontal friction. On the average, in course of a year the potential energy changed mainly due to its horizontal transport conditioned by the effect of the currents located in front of the straits, vertical diffusion and the buoyancy force impact. The results of analysis of the energy transitions permitted to reveal that in the upper sea layer, the mesoscale vortices were formed directly under the wind influence and as a result of the currents’ baroclinic instability. Generation of the submesoscale vortices in the coastal regions was affected predominantly by the processes of baroclinic instability. In the region near the Bosporus, increase of the horizontal gradients in the density field and, consequently, intensification of dynamic processes are the results of inflow of the Black Sea waters with lower density. Conclusions. Study of the energy characteristics of the Marmara Sea water circulation permitted to conclude that baroclinic instability and wind are two of the basic sources of eddy formation in this basin.
目的。研究的主要目的是分析马尔马拉海的能量,并确定其2008年环流特征形成的基本原因。方法与结果。以2008年为例,基于英国科学院海洋水物理研究所的涡流解析非线性水动力模型,对马尔马拉海环流进行了数值模拟和能量特性评价。模式的水平分辨率为1.22 × 0.83 km,垂直上使用18层,时间步长为0.5 min。根据现有的测量数据预置博斯普鲁斯海峡和达达尼尔海峡的温度、盐度和水量。利用区域大气模式MM5计算得到了大气强迫的作用场。分析了动力学和势能收支方程中各项的体积积分贡献和年平均贡献。马尔马拉海动能变化的基本因素是浮力作用、风、垂直和水平混合。经分析,动能变化率方程的体积-平均总和表明,风致能量流入主要由垂直摩擦补偿,浮力主要由水平摩擦补偿。平均来看,在一年的过程中,势能的变化主要是受海峡前气流的作用、垂直扩散和浮力的影响下的水平输送。能量转换分析结果表明,在上层,中尺度涡旋是在风的直接影响下形成的,是气流斜压不稳定的结果。沿海地区亚中尺度涡的产生主要受斜压不稳定过程的影响。在博斯普鲁斯海峡附近区域,密度场水平梯度的增大,从而导致动力过程的加剧,是低密度黑海海水流入的结果。结论。通过对马尔马拉海水环流能量特征的研究,得出斜压不稳定性和风是该盆地涡旋形成的两个基本来源的结论。
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引用次数: 1
Three Typical Hydrological-Hydrochemical Situations Near the Danube River Mouth Based on the Marine Hydrophysical Institute Research Expeditions in 1997-2013 基于1997-2013年海洋水文研究所考察的多瑙河河口三种典型水文水化学情况
IF 0.8 Q3 Earth and Planetary Sciences Pub Date : 2019-07-01 DOI: 10.22449/0233-7584-2019-4-367-383
S. Kondratev
Purpose. The paper is aimed at studying the present state of water ecology of the Black Sea northwestern shelf (NWS). Since the early 60-ies of the last century, ecology in this region deteriorated seriously due to intensive anthropogenic load that resulted in eutrophication of waters and regular fish mortality in the warm period of a year. Methods and Results. In 1997-2013 Marine Hydrophysical Institute realized 7 hydrological and hydrochemical expeditions near the Danube mouth. The dissolved oxygen and nutrients (nitrate, nitrite, phosphate and silicic acid) contents were analyzed in the water samples collected at the bottom (0.5-1 m above the bottom) and surface (0-1 m) horizons. Conclusions. Revealed are three hydrological-hydrochemical situations typical of the region: distribution of the transformed Danube flow far to the east, pressing of the Danube flow to the west coast of the Black Sea and alongshore upwelling. Silica and nitrate are rapidly and almost completely extracted from the seawater (the latter one – even in early winter) during photosynthesis in the surface waters on the NWS. The processes of particulate organic matter mineralization in the bottom waters of the NWS are assumed to be an additional source of silicic acid and nitrates. As for silicic acid, the process takes place during a warm season, and for nitrates – even in early winter. The alongshore upwelling in summer can lead to oxygen deficiency in the coastal waters and that, in its turn, can result in fish mortality on the shelf. The waters of the northwestern shelf open part which, in autumn 2010, pressed the Danube transformed freshwater flow to the Black Sea west coast, contained very small concentrations of biogenic elements (low content of silicic acid should be particularly noted). The study confirms the fact that the hazardous process of change in the phytoplankton species composition still continues, thus, altering the whole food chain in the Black Sea.
目的。本文旨在研究黑海西北陆架(NWS)水生态的现状。自上世纪60年代初以来,由于强烈的人为负荷,该地区生态恶化严重,导致水体富营养化,鱼类在一年中温暖期出现规律性死亡。方法与结果。1997-2013年,海洋水文物理研究所在多瑙河口附近进行了7次水文和水化学考察。分析了底部(离底0.5-1 m)和表层(0-1 m)水样中溶解氧和营养物质(硝酸盐、亚硝酸盐、磷酸盐和硅酸)的含量。结论。揭示了该地区典型的三种水文-水化学状况:多瑙河流的转变向东分布、多瑙河流向黑海西海岸的挤压和沿岸上升流。二氧化硅和硝酸盐在NWS地表水的光合作用中迅速而几乎完全地从海水中提取出来(后者-即使在初冬)。NWS海底颗粒有机质矿化过程被认为是硅酸和硝酸盐的另一个来源。至于硅酸,这个过程发生在温暖的季节,而硝酸盐,甚至在初冬也会发生。夏季的沿岸上升流会导致沿海水域缺氧,进而导致大陆架上的鱼类死亡。2010年秋天,西北大陆架开放部分的水域挤压多瑙河,将淡水流转化为黑海西海岸,其中生物元素的浓度非常低(硅酸的含量很低,应该特别注意)。这项研究证实了这样一个事实,即浮游植物物种组成的危险变化过程仍在继续,从而改变了黑海的整个食物链。
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引用次数: 3
期刊
Physical Oceanography
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