The study focuses on seismoacoustic emission arising in a porous two-phase geological environment under acoustic exposure. The acoustic emission producing in wells drilled in the oil fields reservoirs layers has been considered. The acoustic emission manifests itself in the form of discrete signal spectra similar to oscillations of nonlinearly coupled oscillators. The spectra have special characteristics for each type of rocks composing the reservoir. An analysis of these emissions can serve as a source of information on the filtration-capacitive properties of productive porous reservoirs of a hierarchical structure. An algorithm has been developed for modeling the process of resonant acoustic response of a porous fluid-saturated reservoir of a hierarchical structure located in an elastic N-layer medium and having plastic properties on impact of acoustic frequency.