Abstract
Mathematical models of fresh subsoil water flows in a confined aquifer to a sea (pit, pool, and the like) containing salt water are considered. To study these models mixed boundary value problems of the theory of analytical functions are formulated and solved with the use of the Polubarinova-Kochina method. The models were used to develop algorithms for calculating displacement in situations where subsoil water flows discharge into the sea at lateral inflow or inflow from below. The effect of the model physical parameters on the character and extent of displacement was analyzed with the use of obtained exact analytical relationships and numerical calculations. The hydrodynamic structure is described, and specific features of the flows being modeled are established.
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Bereslavskii, E.N., Solov'eva, T.V. Mathematical Modeling of Displacement Processes in Confined Flows in Coastal Aquifers. Water Resources 29, 637–642 (2002). https://doi.org/10.1023/A:1021180812540
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DOI: https://doi.org/10.1023/A:1021180812540