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O. V. Zenkin

Oil and Gas Technical Institute of Sakhalin State University
Russian Federation
693008, Yuzhno-Sakhalinsk, Lenin st, 290

V. A. Melkiy

Oil and Gas Technical Institute of Sakhalin State University
Russian Federation
693008, Yuzhno-Sakhalinsk, Lenin st, 290


The article highlights the method of calculating the optimum curvature of the river channels using the kinematic model of the flow structure based on the concept of discrete nature of the channel process. It offers the analytic form of the equation of motion of river flow, which can be used simulation modeling for searching dynamically stable form of the river channel, and which can control water level in rivers. The source data for the illustrations of given in the article modeling methods have been served the images received from MODIS on the Terra satellite, for the lower reaches of the river Kur, which merges with the river Urmi, forming the Tunguska river – the left tributary of the Amur.

The modified geometric method can be used to calculate obliquity of tangent to the curve and normal in those situations when observed on satellite imagery points are located on the coordinate of the network irregularly and when three points lying on the curve of the riverbed do not form isosceles triangle.

The model assembles tangential and radial components of the forces acting on the water flow (centrifugal, friction and gravity). Curvature radius is explicitly expressed in the model through the parameter  – gradient angle relative to the axis X. As solution for the value of the angle  is searched, when the correlation function reaches its maximum. It is assumed that the riverbed shape “wrong” and could be modified so that the resulting curve better correlated with calculated curve. Morphometric dependences for macroforms allow creating series of morphological methods for the calculation of deformations and displacement of the shore in any section of meander scroll.

The proposed technique has been tested also on satellite imagery of high resolution. The presented methods of calculation are used as the basis for hydrological projects of geoinformation systems oriented at prediction of morphodynamic processes and morphological evolution of river systems. The determination of regularities of development of bed forms and quantitative relations between their parameters are based on modeling the “right” forms of riverbed.

The research has resulted in establishing and testing methodology of simulation modeling, which allows one to identify dynamically stable form of riverbed. 


modeling, geographic information system, monitoring of natural processes, remote sensing, river channel processes, meandering.


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For citation: Zenkin O.V., Melkiy V.A. DEVELOPMENT OF MODEL FOR QUANTITATIVE EVALUATION OF DYNAMICALLY STABLE FORMS OF RIVER CHANNELS. Proceedings of the International conference “InterCarto. InterGIS”. 2017;23(2):156-172.