MATHEMATICAL MODELING OF LIGHT SCATTERING IN NATURAL WATER ENVIRONMENTS WITH PHYTOPLANKTON PARTICLES

ABSTRACT

Multispectral method can be used for applied tasks of ecological control of parameters of water environments in the near-surface layer. With known parameters of aqueous media, it is first necessary to solve the direct problem of calculating their spectral characteristics. The solution of the inverse optical problem, for example, using regression equations, makes it possible to determine the parameters of the medium behind the results of multispectral measurements. The aim of the work is mathematical modeling of multilayered natural water media with suspended phytoplankton particles, which is necessary to determine the contribution of each of the layers to the overall diffuse reflection coefficient in a given spectral range.
The method of mathematical modeling of light scattering in aqueous media with suspended particles of phytoplankton consists in calculating the spectral characteristics of each layer, provided that the parameters of the medium are unchanged within the layer. Next, the spectral characteristics of the entire multilayer medium are calculated on the basis of the diffuse transmittance and reflection coefficients of each of the layers.
Mathematical modeling of radiation transfer in the near-surface layers of natural aquatic media with suspended phytoplankton particles on the basis of a multilayer structure allows one to solve the inverse problem of determining the parameters of aqueous media, that is, indirectly measure the parameters of water objects that are of interest to environmental control tasks, namely the concentration of phytoplankton particles and ratio of pigments.
When modeling the natural aquatic environment with suspended phytoplankton particles, the contribution of each layer to the total coefficient of diffuse reflection on the surface, which is measured by multispectral methods, is studied. In this case, a layer of an aqueous medium is determined, whose contribution to the measurement results will be close to the measurement error. This allows us to determine the maximum depth of the aquatic environment in which it is possible to conduct multispectral measurements of its parameters.

Keywords: mathematical model, heterogeneous natural environments, spectral
characteristics, water object, phytoplankton.