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A methodology is considered for developing a mathematical model to study the distribution of suspended matter concrentrations in coastal marine areas. This model assesses the consequences of dredging (namely the disturbance of the natural state of marine environment for bioresources), it reproduces the formation of suspended matter and its subsequent transport in the aquatic environment in shallow sea bays and offshore water areas. This problem is solved in two basic stages: at the first stage – the system of equations of hydrodynamics (the equations of the theory of "shallow water") is numerically integrated and the values of the mean components of the flow velocity are determined; and at the second stage – the system of turbulent diffusion equations is integrated, the processes of sedimentation of suspended matter, resuspension of bottom sediments, arrival of suspended matter from distributed point sources, their redistribution in the aquatic environment and the accumulation of residual quantities on the bottom are taken into account.
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Подгорный et al. (2017) studied this question.
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