A probabilistic approach appears to correspond better to highly heterogeneous fissured strata, especially under the lack of the monitoring data near abandoned workings. The developed model describes water flow and solute transport in systems of channels generated stochastically as chains of broken lines according to distributed and fracture parameters changing in space. Flow velocity depending on the fracture width is considered as the distributed parameter. Summarizing local velocity distributions yields the global distribution for several fracture systems. It allows estimating water inflows into adjacent workings separating contribution of different sources on the surface.The velocity distributions used together with the 1D transport model determine variations of concentration as the random function. Two stages of migration are simulated consecutively, firstly in fractures and then in open water flows on the working bottom. The resulted function is the concentration of substances in pumped mine water collected from different horizons of mining. The model was calibrated using the data about tracer migration in
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