Mathematical modeling of hydrological regime of rivers in flood protection, assessment of vertical riverbed deformations and transport of sediments in justifying engineering measures

Authors

  • Vladimir N. Korneev LLC «BelGidrotehproekt»

DOI:

https://doi.org/10.34753/HS.2025.7.1.48
+ Keywords

probability of exceedance (provision of hydrological value), hydrological regime, permissible (non-eroding) velocity, flow cross-section, coordinates of cross-sections, Coriolis coefficient, unsteady water movement in rivers, section of the river

+ Abstract

Mathematical modeling of the hydrological regime is essential for substantiation of engineering measures aimed to flood protection. Assessment of riverbed processes is necessary for justifying engineering measures to ensure the stability of riverbeds. Violation of riverbed stability may result in significant erosion of the riverbed and banks, which may pose a threat to the safety of nearby objects. Therefore, assessment of riverbed stability and potential erosion is a pressing task, which is solved using mathematical modeling methods. The initial data for modeling include the results of hydrological observations of runoff and river level regime, as well as results of hydrometric measurements of the coordinates of river cross-sections and the characteristics of traction sediments. The article considers a method of mathematical modeling of the hydrological regime of rivers using the system of equations of unsteady water movement. Water levels in the river and average flow velocities in live sections are determined as a result of mathematical modeling of unsteady water movement. Local longitudinal water flow velocities are performed with using calculated water levels and average velocities. The article presents a description of the method for assessing riverbed processes, including the stability of the riverbed and its possible erosion using the results of calculations of local longitudinal flow velocities and characteristics of the granulometric (mechanical) composition of traction sediments. In particular, the article presents formula for determining the permissible (non-eroding) water velocities rates taking into account the Coriolis correction coefficient (kinetic energy correction coefficient) and calculation formulas for determining the predicted values of vertical (deep) deformations caused by the movement of traction sediment ridges. The results of studies using the proposed methods are presented using the example of mathematical modeling of the hydrological regime of some rivers in Belarus. Recommendations have been developed to ensure riverbed stability for the studied river sections based on the research results.

+ Author Biographies

Vladimir N. Korneev

leading specialist, LLC «BelGidrotehproekt», Minsk, Belarus,

+ References

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Published

2025-10-10

Issue

Section

Hazardous processes in the hydrosphere: fundamental and engineering aspects

How to Cite

Korneev, V. N. (2025). Mathematical modeling of hydrological regime of rivers in flood protection, assessment of vertical riverbed deformations and transport of sediments in justifying engineering measures . Hydrosphere. Hazard Processes and Phenomena, 7(1), 48-61. https://doi.org/10.34753/HS.2025.7.1.48

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