Abstract
Pressure diffusion waves in a porous medium saturated with two immiscible fluids (oil and water) are considered. The effects of water saturation and frequency on phase velocity, attenuation, wavelength and penetration depth are analysed. Studies show that for a fixed value of water saturation, the value of the attenuation coefficient increases with increasing frequency. At minimal water saturation, the position of the attenuation peak shifts toward high frequencies, and the attenuation coefficient decreases with increasing water saturation. In contrast, the phase velocity peak shifts toward high frequencies with increasing water saturation. The high attenuation that depends on frequency and water saturation is well described by the mechanism of pressure diffusion for signals with low frequencies. The propagation of pressure diffusion waves in space and time has been investigated at different values of water saturation.
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Sadovnikov, R.V. Pressure Diffusion Waves in a Porous Medium Saturated with Two Immiscible Liquids. Lobachevskii J Math 44, 1789–1795 (2023). https://doi.org/10.1134/S1995080223050499
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DOI: https://doi.org/10.1134/S1995080223050499