Wave Field of Porous Medium Saturated by Two Immiscible Fluids Under Excitation of Multiple Wave Sources

Abstract

Wave propagation in porous medium saturated by immiscible fluids has received significant interests from the researchers in searching for comprehensively understanding the behavior of underground motion such as seismic wave propagation and artificial vibration in oil or gas reservoirs. In this research, the wave field of a porous medium saturated by two immiscible fluids is investigated. The elastic domain considered is excited by multiple cylindrical energy sources. The wave field of the whole domain with the excitation of several fast compressible waves in low frequency range is considered. Polar coordinates are utilized for the need of describing the multi-energy sources, so that the propagating waves can be expressed with the utilization of Hankel function. A moving-coordinate method is employed to study the coupling of multiple waves. The combined effects from several sources on the wave propagation are investigated and comparison with that of a single phase fluid is also addressed. With the employment of the methodology established, the wave field at any desired domain considered can be quantitatively determined in terms of wave propagation, frequencies and amplitudes of the source waves. To demonstrate the implementation of the model developed in this research, a numerical simulation is provided. The results of this research contribute to the comprehension of liquids and solid interaction under the excitation of waves, such as seismic, electromagnetic and other artificial vibrations.