The propagation of acoustic waves in a porous medium whose skeleton consists of a gas hydrate with pores filled with water has been studied. A system of equations is written that describes the propagation of acoustic waves in such a porous medium. A dispersion equation is obtained, on the basis of which the phase velocity of sound and the decrement of attenuation of acoustic waves are analyzed. The coefficients of reflection and passage at the "liquid–porous medium" and "porous medium–liquid" interfaces have been derived and investigated. Based on the dispersion equation and corresponding reflection and passage coefficients, the propagation of the finite-duration pulses in the porous medium is investigated. The possibility of estimating the thickness of the gas hydrate bed with the aid of acoustic waves is shown.
Similar content being viewed by others
References
Y. F. Makogon, Natural gas hydrates — A promising source of energy, J. Nat. Gas Sci. Eng., No. 2, 49−59 (2010).
G. G. Tsypkin, Gas hydrate dissociation regions in highly permeable beds, J. Eng. Phys. Thermophys., 63, No. 6, 1221−1227 (1992).
V. Sh. Shagapov, L. A. Nasyrova, A. A. Potapov, and V. L. Dmitriev, Thermal shock under the action of radiation energy on a porous medium partially filled with gas hydrate, J. Eng. Phys. Thermophys., 73, No. 5, 1008−1015 (2003).
V. Sh. Shagapov, M. K. Khasanov, I. K. Gimaltdinov, and M. V. Stolpovskii, Characteristic features of decomposition of gas hydrates in porous media on injection of a warm gas, Teplofiz. Aéromekh., 20, No. 3, 347–354 (2013).
M. K. Khasanov, I. K. Gimaltdinov, and M. V. Stolpovskii, Characteristic features of the formation of gas hydrates on injection of a cold gas into a porous medium saturated with gas and water, Teor. Osn. Khim. Tekhnol., 44, No. 4, 442–449 (2010).
M. K. Khasanov, Regimes of hydrate formation in the process of injection of carbon dioxide into a porous medium saturated with methane and water, J. Eng. Phys. Thermophys., 91, No. 4, 864−872 (2018).
M. K. Khasanov, M. V. Stolpovskii, and I. K. Gimaltdinov, Simulation of the formation of gas hydrate on injection of carbon dioxide into the natural bed, Prikl. Mekh. Tekh. Fiz., 59, No. 3, 94–102 (2018).
V. Sh. Shagapov and R. R. Urazov, Characteristic of the gas pipeline in the presence of hydrate sediments, Teplofiz. Vys. Temp., 42, No. 3, 461–468 (2004).
R. R. Urazov, I. A. Chiglinstev, and A. A. Nasyrov, Formation of sclerotic hydrate deposits in a pipe for extraction of a gas from a dome separator, J. Eng. Phys. Thermophys., 90, No. 5, 1162−1169 (2017).
B. Tokhidi, R. Anderson, A. Masoudi, J. Ardjmani, R. Burgass, and J. Yang, Gas hydrate investigations carried out in the Heriot–Watt University (Edinburg), Ross. Khim. Zh., 47, No. 3, 49–58 (2003).
M. G. Markov, Reflection of elastic waves on the interface between fluids in porous media, Fiz. Zemli, No. 9, 41–47 (2009).
N. D. Musaev, Concerning two-velocity mechanics of granular porous media, Prikl. Mat. Mekh., 49, No. 2, 334–336 (1985).
V. Sh. Shagapov, I. G. Khusainov, and V. L. Dmitriev, Propagation of linear waves in porous media saturated with a gas with account for interfacial heat exchange, Prikl. Mekh. Tekh. Fiz., 45, No. 4, 114–120 (2004).
I. G. Khusainov and V. L. Dmitriev, Evolution of wave impulse in passing through a porous barrier, Prikl. Mekh. Tekh. Fiz., 52, No. 5(309), 136–145 (2011).
I. K. Gimaltdinov, L. F. Sitdikova, V. L. Dmitriev, T. M. Levina, N. S. Khabeev, and Song Wanqing, Reflection of acoustic waves from a porous material at oblique incidence, J. Eng. Phys. Thermophys., 90, No. 5, 1043−1052 (2017).
I. K. Gimaltdinov and V. L. Dmitriev, Dynamics of acoustic waves in a porous medium partially saturated with a gas hydrate, J. Eng. Phys. Thermophys., 92, No. 6, 1423−1431 (2019).
R. I. Nigmatulin, Principles of the Mechanics of Heterogeneous Media [in Russian], Nauka, Moscow (1978).
R. I. Nigmatulin, Dynamics of Multiphase Media [in Russian], Nauka, Moscow, Pt. 1 (1987).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 94, No. 6, pp. 1587–1605, November–December, 2021.
Rights and permissions
About this article
Cite this article
Dmitriev, V.L., Khusainov, I.G. & Gimaltdinov, I.K. Propagation of Acoustic Waves in a Water-Saturated Porous Medium Formed by a Gas Hydrate. J Eng Phys Thermophy 94, 1563–1570 (2021). https://doi.org/10.1007/s10891-021-02437-z
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10891-021-02437-z