Mathematical model of filtration of Newtonian and structured fluids in hydrodynamically bonded formations

The article builds and solves a mathematical model of the problem of filtration of structured and anomalous fluids in a two-layer connected formation. The distribution of pressure in the reservoir and the junctions is calculated. The curves of the flow function and the perturbation boundaries are found. It was revealed under what conditions it is undesirable to withdraw from a dam through a well-permeable formation. It is noted that by controlling the values of the crossflow, it is possible to achieve the maximum withdrawal of fluid from the formation.

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