Thermodynamic compatible model of microfractured porous media and Stoneley waves

Abstract

Nonstationary theory of two-velocity continuum describing the propagation of acoustic waves inmicrofractured porousmedia is based on general physical principles: the first law of thermodynamics, the conservation laws, the kinematic relationships in the metric tensor and the Galilean principle of relativity. As a physical application, the theory of the Stoneley wave in microfractured porous media is developed. The simulation results are compared with the results of physical measurement of the Stoneley wave parameters in the boreholes. It is shown that an additional fluid transport through fractures makes it possible to satisfactorily correlate the experimental and theoretical data. In general, the developed theory is a nonlinear physical model of fluid dynamics in fractured porous media.