When acoustic monitoring at a fixed frequency in a layered medium with inclusions of a hierarchical structure, responses are observed with additional frequencies in fluid-saturated, abnormally dense, and abnormally plastic hierarchical inclusions. For a quantitative study of these effects, an algorithm is developed in the form of an iterative process for solving the direct problem for the case of three hierarchical inclusions of the l, m, and s-th ranks based on the use of 2D integro-differential equations. The degree of inclusions hierarchy is determined by the values of their ranks. Hierarchical inclusions are located in different layers one above the other: the upper ones are abnormally plastic, the second are elastic and containing fluid-saturated inclusions of a given rank and the lower ones are abnormally dense. The degree of filling with inclusions of each rank for all three hierarchical inclusions is different. In this case, the dynamic processes are investigated in fluid-saturated hierarchical inclusions associated with convective mixing of a single-component fluid. The simulation results can be used in monitoring studies of fluid recovery for oil fields. The results can help to explain the excessive flooding of oil reservoirs.