С помощью новой двумерной модели мезомасштабных процессов оценивается влияние неоднородности температуры и влажности на образование вихревых структур в нижнем слое атмосферы. Вывод модели осуществляется на основе локально-равновесного подхода путем усреднения поперек слоя исходных трехмерных уравнений, описывающих мезомасштабные атмосферные процессы. Для замыкания системы, заключающегося в определении нелинейных слагаемых и значений на границах полей скорости, температуры и влажности через усредненные поля, используется точное решение исходной задачи, описывающее однородное по горизонтальным координатам течение. Это решение находится для бесконечного горизонтального вращающегося слоя в предположении несжимаемости воздуха в нижнем слое атмосферы и линейного распределения температуры и влажности подстилающей поверхности. Численные расчеты проводились методом сеток с помощью явной конечно-разностной схемы на сетке 200×200 узлов. Рассматривалась площадка 40 на 40 километров в северо-западной части города Перми и прилежащих окрестностях. Расчеты показали, что на фоне значительных горизонтальных градиентов температуры воздуха и влажности в нижнем слое атмосферы возникают вихревые структуры с вертикальной осью вращения. Появление вихревых структур обуславливается также конфигурацией зон значительных градиентов и их расположением относительно движущегося воздуха.Ключевые слова: моделирование пограничного слоя атмосферы, неоднородность температуры и влажности, численные расчеты
TWO-DIMENSIONAL MODEL OF MESOSCALE PROCESSES IN THE LOWER ATMOSPHERE WITH ALLOWANCE FOR INHOMOGENEITY OF TEMPERATURE AND AIR HUMIDITY
K.G. Shvarts, Yu.A. Shvarts and V.A. Shklyaev
Perm State University, Perm, Russian FederationA new two-dimensional model of mesoscale processes is used to estimate the influence of temperature and air humidity heterogeneities on the formation of vortex structures in the lower atmosphere. The model has been developed on the basis of the local equilibrium approach by averaging the original three-dimensional equations for mesoscale atmospheric processes across the layer. To close the system of equations, an exact solution of the original problem describing the flow homogeneous with respect to horizontal coordinates is applied. The closure consists in determining the nonlinear terms and the values at the boundaries of velocity, temperature and humidity fields via the averaged field. The solution is obtained for an infinite horizontal rotating layer under the assumption of air incompressibility in the lower atmosphere and linear distribution of the temperature and humidity of the underlying surface. Numerical calculations were performed using a grid method, in which an explicit finite difference scheme is applied to a grid of 200×200 nodes. Computations were carried out for the 40×40 km area in the North-Western part of the city of Perm and its immediate vicinity with account for the underlying surface roughness. It has been found that the vortex structure with a vertical axis of rotation arises at significant horizontal...
The main aim of this research is the creation of program tool for quantitative and qualitative comparison of different schemes of well location applied at waterflooding: the estimates were supposed to be carried on the basis of solution of the problem of advancement of border of OWC in time. The achieved results may be used for designing of waterflooding of real oilfields. At the heart of program complex lies the model of infinite homogeneous layer of fixed thickness, the surface of which is covered by doubly periodic grating with upstream and blowing wells in their cells. For describing of the process of combined filtration of water and oil modified Weierstrass dzeta-function was used.
Water-oil contact moving task has a high significance in a waterflooding the- ory: it’s possible to improve oil recovering characteristics due to prediction of flow features for both liquids - oil and water displaced it. There is the simplest mathematical pattern for conjoint oil-water flow presenting: it is called ”versi- color” liquids model and it suggests making oil and water physically identical to simplify solving process for water-oil contact moving task. However, another pattern was used in research described in this paper: it is called pistonlike dis- placement model and it supposes that oil and water physical characteristics, for example, viscosities, may be different. As for the oil-keeping reservoir pattern used in this research it was presented as homogeneous and infinity, with fixed thickness: furthermore its surface was covered by dual periodical lattice included production and injection wells in its cells.
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