Proposal of the mathematical model of the aquifer for interpretation of measurements of natural isotopes in the water

Mathematical models applied in isotope hydrology are presented in the paper. The most commonly used deterministic models are discussed in the first part of the paper including the piston flow and good mixing models. The model of nonideal mixing is introduced by the author into the hydrological considerations. This model is a generalization of the good mixing model and allows for different processes of mixing of natural isotopes in waters of hydrological systems. The most important stochastic model i.e. the dispersive model is discussed too. The ''three-velocities'' model is proposed the first time by the author. The ''three-velocities'' model differs from the other ones in following properties: it includes finite flow velocity of the tracer particles, it takes into account the presence of stagnant water, it satisfied the law of fluid continuity, it is convergent to the piston-flow model in limit. However the model proposed describes dispersion phenomenon and satisfied the tracer conservation law (i.e. standarization) - the two properties characteristic of all the models. The author's strong belief is that the user (hydrologist) having at his disposal given below review of the models will be able to choose the most adequate model in given hydrological conditions. (author)