Reflection of Plane Waves at an Interface of Water/Patchy Saturated Porous Media with Underlying Solid Substrate
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LASSICAL PROBLEMS OF LINEAR ACOUSTICS AND WAVE THEORY
Reflection of Plane Waves at an Interface of Water/Patchy Saturated Porous Media with Underlying Solid Substrate Puyi Lia, Lina Gaoa, Jinxia Liua, Zhengliang Caob, and Zhiwen Cuia, * a
Department of Acoustics and Microwave Physics, College of Physics, Jilin University, Changchun, 130012 China Shanghai Engineering Research Center of Hadal Science and Technology, College of Marine Sciences, Shanghai Ocean University, Shanghai, 201306 China *e-mail: [email protected]
b
Received December 4, 2018; revised March 3, 2020; accepted April 28, 2020
Abstract—The problems with elastic wave reflection at the interface between the water/patchy saturated porous media and the underlying solid matrix are considered. When porous media is saturated by biphasic fluids, the patchy saturation theory can explain the wave dispersion and attenuation better than the classical Biot theory at mesoscopic scales. Based on patchy saturation theory, this paper focuses on the reflection of elastic waves by patchy saturated porous media inclusion in layered media. Using numerical calculation, the reflection coefficients with different excitation frequencies, water saturations, and porous media depths are discussed. The results show that the differences between two kinds of patchy saturated porous media cases in the oil-water model are lower than those between the same two cases in the gas-water model. Low water saturation and high water saturation have significant effects on the reflection coefficient. Keywords: patchy saturation, water, underlying solid, reflection coefficients, elastic waves DOI: 10.1134/S1063771020050085
1. INTRODUCTION The reflection–refraction phenomena of elastic waves from the interface between two elastic media play an important role in modern seismology from both theoretical and practical points of view. These problems have extensive and wide applications in petroleum engineering, exploration geophysics, building industry and various other fields. When a seismic wave propagates through two different media, the reflection and refraction phenomena take place. These reflected and refracted waves from the interface carry lots of information about the characteristics of the media. The records of seismic signals are beneficial for determining the different physical properties of the Earth’ s medium. A mass of literature is available on the theories and experiments performed to study the problems of reflection and refraction of seismic waves by considering different models. Stoll and Kan [1] investigated the reflection when a plane wave was incident to porous sediment from water based on the Biot theory. Cui and Wang [2] used the BISQ model to study the influence of the squirt flow on reflection and refraction of elastic waves at a fluid/fluid-saturated porous solid interface. Tajuddin et al. [3] studied the reflection of plane waves at the boundaries of a liquidfilled poroelastic half-space. Markov [4–6] did a lot of
research about wave-propagation in fluid-saturated poro
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