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Simulation of Effects of Incident Angles and Frequencies of Ultrasonic Waves on Wave Energy Propagation and Variation of Cleat Width Induced by Ultrasonic Waves

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Abstract

Ultrasonic wave stimulation shows potential in enhancing the permeability and production rate of low-permeability coal seam gas (CSG) reservoirs, however, the mechanisms of mechanical vibration induced by ultrasonic waves in coal is still unclear. In this paper, the effects of physical attributes of ultrasonic wave signals, including the incident angles and frequencies, on the propagation/attenuation of wave energy and cleat width variation are numerically analyzed. In the numerical modelling, the propagation direction of ultrasonic waves to the orientation of cleats varies from 0° to 90° by an 10° increasing range, and the frequency range of signals varies between 2 and 10 MHz with an increment of 2 MHz. To evaluate the changes of mechanical vibration near coal-cleats induced by the changes of physical attributes of ultrasonic waves, four parameters are discussed, including shear wave energy (SE), accumulation of wave energy (WE), cleat-width variation at each moment (D1(t)), and accumulation of cleat-width variation during a certain period (D2). Numerical simulation results show that: (1) wave signals with larger incident angles to the orientation of cleats contribute to larger SE, longer SE accumulation near cleat interfaces, and larger D1(t) and D2; (2) the ultrasonic waves at higher frequencies contribute to larger SE near cleat interfaces, which attenuates more easily during propagation. Meanwhile, the D1(t) becomes larger during the initial period when waves firstly arrive at the cleat. However, in the case of smaller frequencies, comparatively larger D1(t) lasts longer after waves leave from cleat, and D2 is larger during the overall stimulation.

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modified from Jiang & Xing, 2016)

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References

  • Agi, A., Junin, R., & Chong, A. S. (2018). Intermittent ultrasonic wave to improve oil recovery. Journal of Petroleum Science and Engineering, 166, 577–591.

    Article  Google Scholar 

  • Alhomadhi, E., Amro, M., & Almobarky, M. (2014). Experimental application of ultrasound waves to improved oil recovery during waterflooding: Journal of King Saud University. Engineering Sciences, 26(1), 103–110.

    Google Scholar 

  • Amalokwu, K., Best, A. I., Sothcott, J., Chapman, M., Minshull, T., & Li, X.-Y. (2014). Water saturation effects on elastic wave attenuation in porous rocks with aligned fractures. Geophysical Journal International, 197(2), 943–947.

    Article  Google Scholar 

  • Aygün, H., & Barlow, C. (2015). Ultrasonic wave propagation through porous ceramics at different angles of propagation. Applied Acoustics, 88, 6–11.

    Article  Google Scholar 

  • Bergström, J., Holmberg, S., & Lehnert, B. (1961). Experiments on the energy balance and confinement of a magnetized plasma. Physical Review Letters, 6(10), 525–527.

    Article  Google Scholar 

  • Biot, M. A. (1956). Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range. The Journal of the Acoustical Society of America, 28(2), 168–178.

    Article  Google Scholar 

  • Carcione, J. M., Kosloff, D., & Kosloff, R. (1988). Wave propagation simulation in a viscoelastic medium. Geophysical Journal of the Royal Astronomical Society., 93, 597–611.

    Article  Google Scholar 

  • Charrière, D., Pokryszka, Z., & Behra, P. (2010). Effect of pressure and temperature on diffusion of CO2 and CH4 into coal from the Lorraine basin (France). International Journal of Coal Geology, 81(4), 373–380.

    Article  Google Scholar 

  • Chen, H., Jiang, B., Chen, T., Xu, S., & Zhu, G. (2017). Experimental study on ultrasonic velocity and anisotropy of tectonically deformed coal. International Journal of Coal Geology, 179, 242–252.

    Article  Google Scholar 

  • Dawson, G. K. W., & Esterle, J. S. (2010). Controls on coal cleat spacing. International Journal of Coal Geology, 82(3–4), 213–218.

    Article  Google Scholar 

  • Hol, S., Peach, C. J., & Spiers, C. J. (2011). Applied stress reduces the CO2 sorption capacity of coal. International Journal of Coal Geology, 85(1), 128–142.

    Article  Google Scholar 

  • Jiang, Y., Song, X., Liu, H., & Cui, Y. (2015). Laboratory measurements of methane desorption on coal during acoustic stimulation. International Journal of Rock Mechanics and Mining Sciences, 78, 10–18.

    Article  Google Scholar 

  • Jiang, Y., & Xing, H. (2016). Numerical modelling of acoustic stimulation induced mechanical vibration enhancing coal permeability. Journal of Natural Gas Science and Engineering, 36, 786–799.

    Article  Google Scholar 

  • Kissinger, A., Helmig, R., Ebigbo, A., Class, H., Lange, T., Sauter, M., Heitfeld, M., Klünker, J., & Jahnke, W. (2013). Hydraulic fracturing in unconventional gas reservoirs: risks in the geological system, part 2. Environmental Earth Sciences, 70(8), 3855–3873.

    Article  Google Scholar 

  • Li, Q., Lin, B., & Zhai, C. (2014). The effect of pulse frequency on the fracture extension during hydraulic fracturing. Journal of Natural Gas Science and Engineering, 21, 296–303.

    Article  Google Scholar 

  • Li, X., Pu, C., Chen, X., Huang, F., and Zheng, H., 2021, Study on frequency optimization and mechanism of ultrasonic waves assisting water flooding in low-permeability reservoirs: Ultrasonics Sonochemistry, v. 70.

  • Liu, J.-X., Cui, Z.-W., & Wang, K.-X. (2012). Effect of stress on reflection and refraction of plane wave at the interface between fluid and stressed rock. Soil Dynamics and Earthquake Engineering, 42, 47–55.

    Article  Google Scholar 

  • Maligno, A. R., Rajaratnam, S., Leen, S. B., & Williams, E. J. (2010). A three-dimensional (3D) numerical study of fatigue crack growth using remeshing techniques. Engineering Fracture Mechanics, 77(1), 94–111.

    Article  Google Scholar 

  • Mazumder, S., Wolf, K. H. A. A., Elewaut, K., & Ephraim, R. (2006). Application of X-ray computed tomography for analyzing cleat spacing and cleat aperture in coal samples. International Journal of Coal Geology, 68(3–4), 205–222.

    Article  Google Scholar 

  • Mohsin, M., & Meribout, M. (2015). An extended model for ultrasonic-based enhanced oil recovery with experimental validation. Ultrasonics Sonochemistry, 23, 413–423.

    Article  Google Scholar 

  • Moore, B. A., Rougier, E., O’Malley, D., Srinivasan, G., Hunter, A., & Viswanathan, H. (2018). Predictive modeling of dynamic fracture growth in brittle materials with machine learning. Computational Materials Science, 148, 46–53.

    Article  Google Scholar 

  • Moore, T. A. (2012). Coalbed methane: a review. International Journal of Coal Geology, 101, 36–81.

    Article  Google Scholar 

  • Naderi, K., & Babadagli, T. (2010). Influence of intensity and frequency of ultrasonic waves on capillary interaction and oil recovery from different rock types. Ultrasonics Sonochemistry, 17(3), 500–508.

    Article  Google Scholar 

  • Paluszny, A., & Zimmerman, R. W. (2011). Numerical simulation of multiple 3D fracture propagation using arbitrary meshes. Computer Methods in Applied Mechanics and Engineering, 200(9–12), 953–966.

    Article  Google Scholar 

  • Ren, F., Ge, L., Stelmashuk, V., Rufford, T. E., Xing, H., & Rudolph, V. (2019). Characterisation and evaluation of shockwave generation in water conditions for coal fracturing. Journal of Natural Gas Science and Engineering, 66, 255–264.

    Article  Google Scholar 

  • Rose, J. L., & Nagy, P. B. (2000). Ultrasonic waves in solid media. The Journal of the Acoustical Society of America, 107(4), 1807–1808.

    Article  Google Scholar 

  • Shahani, A. R., & Amini Fasakhodi, M. R. (2009). Finite element analysis of dynamic crack propagation using remeshing technique. Materials & Design, 30(4), 1032–1041.

    Article  Google Scholar 

  • Shi, Q., Qin, Y., Li, H., Qiu, A., Zhang, Y., Zhou, X., & Zheng, S. (2016). Response of pores in coal to repeated strong impulse waves. Journal of Natural Gas Science and Engineering, 34, 298–304.

    Article  Google Scholar 

  • Shi, Q., Qin, Y., Li, J., Wang, Z., Zhang, M., & Song, X. (2017). Simulation of the crack development in coal without confining stress under ultrasonic wave treatment. Fuel, 205, 222–231.

    Article  Google Scholar 

  • Sun, W., Carcione, J. M., & Ba, J. (2015). Seismic attenuation due to heterogeneities of rock fabric and fluid distribution. Geophysical Journal International, 202(3), 1843–1847.

    Article  Google Scholar 

  • Tang, Z., Zhai, C., Zou, Q., & Qin, L. (2016). Changes to coal pores and fracture development by ultrasonic wave excitation using nuclear magnetic resonance. Fuel, 186, 571–578.

    Article  Google Scholar 

  • Thakur, P., 2017, Pore pressure and stress field in coal reservoirs. Advanced Reservoir and Production Engineering for Coal Bed Methane p. 61–73.

  • Virieux, J. (1986). P-SV wave propagation in heterogeneous media: velocity- stress finite difference method. Geophysics, 51(4), 889–910.

    Article  Google Scholar 

  • Wang, C., Feng, J., Liu, J., Wei, M., Wang, C., & Gong, B. (2014). Direct observation of coal–gas interactions under thermal and mechanical loadings. International Journal of Coal Geology, 131, 274–287.

    Article  Google Scholar 

  • Wang, H., Pan, J., Wang, S., & Zhu, H. (2015). Relationship between macro-fracture density, P-wave velocity, and permeability of coal. Journal of Applied Geophysics, 117, 111–117.

    Article  Google Scholar 

  • Wang, L. L., Vandamme, M., Pereira, J. M., Dangla, P., & Espinoza, N. (2018). Permeability changes in coal seams: The role of anisotropy. International Journal of Coal Geology, 199, 52–64.

    Article  Google Scholar 

  • Ward, C. R. (2016). Analysis, origin and significance of mineral matter in coal: an updated review. International Journal of Coal Geology, 165, 1–27.

    Article  Google Scholar 

  • Widera, M. (2014). What are cleats? Preliminary studies from the Konin lignite mine, Miocene of central Poland. Geologos, 20(1), 3–12.

    Article  Google Scholar 

  • Xu, W., Ok, J. T., Xiao, F., Neeves, K. B., and Yin, X., 2014, Effect of pore geometry and interfacial tension on water-oil displacement efficiency in oil-wet microfluidic porous media analogs. Physics of Fluids 26(9).

  • Yan, F., Lin, B., Zhu, C., Zhou, Y., Liu, X., Guo, C., & Zou, Q. (2016). Experimental investigation on anthracite coal fragmentation by high-voltage electrical pulses in the air condition: effect of breakdown voltage. Fuel, 183, 583–592.

    Article  Google Scholar 

  • Yi, J., & Xing, H. (2018). Finite element lattice Boltzmann method for fluid flow through complex fractured media with permeable matrix. Adv Water Resources, 119, 28–40.

    Article  Google Scholar 

  • Yu, H., Zhang, Y., Lebedev, M., Wang, Z., Li, X., Squelch, A., Verrall, M., & Iglauer, S. (2019). X-ray micro-computed tomography and ultrasonic velocity analysis of fractured shale as a function of effective stress. Marine and Petroleum Geology, 110, 472–482.

    Article  Google Scholar 

  • Zheng, H., Guo, Y., Zhu, H., Pan, D., Pan, L., & Liu, J. (2013). p-nitrophenol enhanced degradation in high-voltage pulsed corona discharges combined with ozone system. Plasma Chemistry and Plasma Processing, 33(6), 1053–1062.

    Article  Google Scholar 

  • Zhu, Y., Chen, Z., Xing, H., and Rudolph, V., 2019, Impact of capillary trapping on CSG recovery: an overlooked phenomenon. APPEA Journal, v. 59, no. 1.

  • Zou, Q., Lin, B., Zheng, C., Hao, Z., Zhai, C., Liu, T., Liang, J., Yan, F., Yang, W., & Zhu, C. (2015). Novel integrated techniques of drilling–slotting–separation-sealing for enhanced coal bed methane recovery in underground coal mines. Journal of Natural Gas Science and Engineering, 26, 960–973.

    Article  Google Scholar 

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Authors and Affiliations

  1. School of Earth and Environmental Sciences, The University of Queensland, St Lucia, QLD, 4072, Australia

    Qian Zhao

  2. Key Lab of Submarine Geosciences and Prospecting Techniques, MOE, Institute for Advanced Ocean Study and College of Marine Geosciences, Ocean University of China, Qingdao, 266100, China

    Huilin Xing

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  1. Qian Zhao
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Zhao, Q., Xing, H. Simulation of Effects of Incident Angles and Frequencies of Ultrasonic Waves on Wave Energy Propagation and Variation of Cleat Width Induced by Ultrasonic Waves. Pure Appl. Geophys. 178, 1281–1296 (2021). https://doi.org/10.1007/s00024-021-02705-2

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