Dispersion Characteristics of Guided Waves in Cylindrical Porous Media
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چکیده
Propagation of guided waves in a solid rod surrounded by infinite media is an interesting research topic of practical importance. One important application is ultrasonic nondestructive evaluation (NDE) of rock bolts. Rock bolts are inserted into the mixture of rock and concrete to ensure the stability of the groundwork. For this research topic, it is important to study the propagation of guided waves in a solid rod surrounded by infinite media. Currently, the topic already has certain research bases [1-5]. However, when anchoring system appears broken rock, or anchor rusty, the elastic media is unable to simulate these situations. Porous media can simulate well. Thus the research of guided wave propagation in a cylindrical structure containing porous media is of great significance. The propagation of guided wave in a multilayer plane porous media has already been widely studied, Parra studied the dispersion and attenuation of acoustic guided waves in layered fluid-filled porous media [6], Derible analyzed the transmission coefficient of a water-saturated porous plate [7] and Fellah studied the time-domain model of transient acoustic wave propagation in layered porous media [8-10]. However, few attentions have been focused on cylindrical waveguide in layered porous media. Most of studies were concentrated in well-logging detection, the structure of which is the internal liquid, external porous media [11-13]. In this paper, for anchoring system, porous media was used to simulate the two cases, one of which is rocks containing cracks and pores; the other is bolt corrosion. Through studying the propagation characteristics of guided wave in the elastic rod embedded in infinite porous media and porous media rod wrapped by infinite elastic media, the results can be a reference for the NDE of rod embedded in infinite media. In this paper, we study the propagation characteristics of guided waves in a solid rod embedded in infinite media with porous media. This paper is arranged as follows. First, the dispersion equations of two models are deduced. Second, the dispersion characteristics of guided waves in the two models are discussed, respectively. Third, we investigated the effects of different porosity parameters and rod radius on the guided waves.
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