Modeling the Spectral Features of Acoustic Noise Produced by Gas Flow in Rock Samples Based on the Theory of Ensemble of Interconnected Pore Resonators

Abstract

A new model describing the pore space as an ensemble of interconnected Helmholtz resonators is proposed. This model makes it possible to improve the description of spectral peculiarities of the experimentally recorded acoustic noise during gas flow through a porous medium. The results of the resonance frequency calculation are presented by the example of the pore space model of the Indiana Limestone. Microvortexes in the pores are considered as the main mechanism of acoustic noise generation by gas flow. The presented numerical simulations on COMSOL Multiphysics show that the generation of microvortexes begins when the Reynolds number in the pores reaches 1 to 10.