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Dynamic coupled thermo-hydro-mechanical problem for heterogeneous deep-sea sediments under vibration of mining vehicle

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  • 1. Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan 411105, Hunan Province, China;
    2. School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, Hunan Province, China;
    3. School of Mechanical Engineering and Mechanics, Xiangtan University, Xiangtan 411105, Hunan Province, China

Received date: 2022-11-17

  Revised date: 2022-12-25

  Online published: 2023-03-30

Supported by

the National Natural Science Foundation of China (Nos. 12072309 and 61603322)

Abstract

Due to the influence of deep-sea environment, deep-sea sediments are usually heterogeneous, and their moduli of elasticity and density change as depth changes. Combined with the characteristics of deep-sea sediments, the thermo-hydro-mechanical coupling dynamic response model of heterogeneous saturated porous sediments can be established to study the influence of elastic modulus, density, frequency, and load amplitude changes on the model. Based on the Green-Lindsay generalized thermoelasticity theory and Darcy's law, the thermo-hydro-mechanical coupled dynamic response model and governing equations of heterogeneous deep-sea sediments with nonlinear elastic modulus and density are established. The analytical solutions of dimensionless vertical displacement, vertical stress, excess pore water pressure, and temperature are obtained by means of normal modal analysis, which are depicted graphically. The results show that the changes of elastic modulus and density have few effects on vertical displacement, vertical stress, and temperature, but have great effects on excess pore water pressure. When the mining machine vibrates, the heterogeneity of deep-sea sediments has great influence on vertical displacement, vertical stress, and excess pore water pressure, but has few effects on temperature. In addition, the vertical displacement, vertical stress, and excess pore water pressure of heterogeneous deep-sea sediments change more gently. The variation trends of physical quantities for heterogeneous and homogeneous deep-sea sediments with frequency and load amplitude are basically the same. The results can provide theoretical guidance for deep-sea mining engineering construction.

Cite this article

Wei ZHU, Xingkai MA, Xinyu SHI, Wenbo MA . Dynamic coupled thermo-hydro-mechanical problem for heterogeneous deep-sea sediments under vibration of mining vehicle[J]. Applied Mathematics and Mechanics, 2023 , 44(4) : 603 -622 . DOI: 10.1007/s10483-023-2971-7

References

[1] HEIN, J. R., KOSCHINSKY, A., and KUHN, T. Deep-ocean polymetallic nodules as a resource for critical materials. Nature Reviews Earth & Environment, 1, 158-169(2020)
[2] OHTA, J., YASUKAWA, K., NAKAMURA, K., FUJINAGA, K., IIJIMA, K., and KATO, Y. Geological features and resource potential of deep-sea mud highly enriched in rare-earth elements in the Central Pacific Basin and the Penrhyn Basin. Ore Geology Reviews, 139, 104440(2021)
[3] WATZEL, R., RÜHLEMANN, C., and VINK, A. Mining mineral resources from the seabed: opportunities and challenges. Marine Policy, 114, 103828(2020)
[4] KANG, Y. J. and LIU, S. J. The development history and latest progress of deep-sea polymetallic nodule mining technology. Minerals, 11(10), 1132(2021)
[5] HUANG, H., WANG, L., OU, D. Y., LI, W. W., KUANG, F. F., LIN, C., HE, X. B., AN, L. B., and WANG, W. B. A preliminary evaluation of some elements for designation of preservation and impact reference zones in deep-sea in the Clarion-Clipperton Zone: a case study of the China ocean mineral resources association contract area. Ocean & Coastal Management, 188(15), 105135(2020)
[6] HAFFERT, L., HAECKEL, M., STIGTER, H. D., and JANSSEN, F. Assessing the temporal scale of deep-sea mining impacts on sediment biogeochemistry. Biogeosciences, 17(10), 2767-2789(2020)
[7] DAI, Y., LI, X. Y., YIN, W. W., HUANG, Z. H., and XIE, Y. Dynamics analysis of deep-sea mining pipeline system considering both internal and external flow. Marine Georesources & Geotechnology, 39(4), 408-418(2021)
[8] YANG, J. M., LIU, L., LYU, H. N., and LIN, Z. Q. Deep-sea mining equipment in China: current status and prospect (in Chinese). Strategic Study of Chinese Academy of Engineering, 22(6), 1-9(2020)
[9] LENG, D. X., SHAO, S., XIE, Y. C., WANG, H. H., and LIU, G. J. A brief review of recent progress on deep-sea mining vehicle. Ocean Engineering, 228(15), 108565(2021)
[10] XU, F., RAO, Q. H., and MA, W. B. Predicting the sinkage of a moving tracked mining vehicle using a new rheological formulation for soft deep-sea sediment. Journal of Oceanology and Limnology, 36(2), 230-237(2018)
[11] YU, Y. J., DUAN, L. C., WANG, H. F., DUAN, X., and ZHU, K. J. Preliminary study on physicomechanical properties of deep-sea sediments from the Western Pacific (in Chinese). Mining and Metallurgical Engineering, 36(5), 1-4(2016)
[12] LYU, W. Z., HUANG, Y. X., ZHANG, G. Z., and BAO, G. S. Geology of Deposits in the Chinese Pioneering Area of Pacific Polymetallic Nodules, Ocean Press, Beijing (2008)
[13] WANG, X., XUE, C., and LI, H. Nonlinear primary resonance analysis for a coupled thermopiezoelectric-mechanical model of piezoelectric rectangular thin plates. Applied Mathematics and Mechanics (English Edition), 40(8), 1155-1168(2019) https://doi.org/10.1007/s10483-019-2510-6
[14] ABOUELREGAL, A. E., AHMAD, H., YAHYA, A. M. H., SAIDI, A., and ALFADIL, H. Generalized thermoelastic responses in an infinite solid cylinder under the thermoelastic-diffusion model with four lags. Chinese Journal of Physics, 76, 121-134(2022)
[15] LORD, H. W. and SHULMAN, Y. A. A generalized dynamical theory of thermoelasticity. Journal of the Mechanics and Physics of Solids, 15(5), 299-309(1967)
[16] GREEN A. E. and LINDSAY, K. A. Thermoelasticity. Journal of Elasticity, 2(1), 1-7(1972)
[17] AHMAD, H., ABOUELREGAL, A. E., BENHAMED, M., ALOTAIBI, M. F., and JENDOUBI, A. Vibration analysis of nanobeams subjected to gradient-type heating due to a static magnetic field under the theory of nonlocal elasticity. Scientific Reports, 12(1), 1-18(2022)
[18] BAI, B. Effects of coupling schemes of thermo hydro-mechanical governing equations for saturated porous medium (in Chinese). Rock and Soil Mechanics, 27(4), 519-524(2006)
[19] YAN, R. T. and ZHANG, Q. A constitutive model of expansive clay considering thermo-hydromechanical coupling effect. Environmental Earth Sciences, 78(9), 1-12(2019)
[20] GUO, Y., ZHU, H. B., XIONG, C. B., and YU, L. N. A two-dimensional generalized thermohydro-mechanical-coupled problem for a poroelastic half-space. Waves in Random and Complex Media, 30(4), 738-758(2020)
[21] GUO, Y. and XIONG, C. B. Influence of the viscoelastic relaxation time on a foundation under generalized poro-thermoelasticity. Waves in Random and Complex Media, 2021(2), 1-31(2021)
[22] GUO, Y., LI, W. J., MA, J. J., LIANG, B., and XIONG, C. B. Dynamic coupled thermo-hydromechanical problem for saturated porous viscoelastic foundation (in Chinese). Chinese Journal of Theoretical and Applied Mechanics, 53(4), 1081-1092(2021)
[23] XIONG, C. B., GUO, Y., and DIAO, Y. Normal mode analysis to a poroelastic half-space problem under generalized thermoelasticity. Latin American Journal of Solids and Structures, 14(5), 930-949(2017)
[24] XIONG, C. B., GUO, Y., and DIAO, Y. Dynamic problem of saturated soil under the fractional order theory of thermoelasticity. Journal of Porous Media, 23(4), 311-325(2020)
[25] QIN, B., CHEN, Z. H., FANG, Z. D., SUN, S. G., FANG, X. W., and WANG, J. Analysis of coupled thermo-hydro-mechanical behavior of unsaturated soils based on theory of mixtures I. Applied Mathematics and Mechanics (English Edition), 31(12), 1561-1576(2010) https://doi.org/10.1007/s10483-010-1384-6
[26] BAI, B., ZHOU, R., CAI, G., HU, W., and YANG, G. G. Coupled thermo-hydro-mechanical mechanism in view of the soil particle rearrangement of granular thermodynamics. Computers and Geotechnics, 137(8), 104272(2021)
[27] ZHU, W., SHI, X. Y., HUANG, R., HUANG, L. Y., and MA, W. B. Research on coupled thermohydro-mechanical dynamic response characteristics of saturated porous deep-sea sediments under vibration of mining vehicle. Applied Mathematics and Mechanics (English Edition), 42(9), 1349-1362(2021) https://doi.org/10.1007/s10483-021-2768-5
[28] CHI, S. B., LEE, H. B., KIM, J. U., HYEONG, K. S., KO, Y. T., and LEE, K. Y. Mass physical properties in deep-sea sediment from the clarion-clipperton fracture zone, northeast equatorial pacific. Economic and Environmental Geology, 39(6), 739-752(2006)
[29] MA, W. B., LI, J. P., CAI, Q., ZHU, W., YANG, C. Q., and GUO, S. C. Influence of surface roughness on the adhesion force between the titanium plate and deep-sea sediment. Marine Georesources & Geotechnology, 39(12), 1516-1524(2021)
[30] ALHARBI, A. M., OTHMAN, M. I. A., and ATEF, H. M. Thomson effect with hyperbolic twotemperature on magneto-thermo-visco-elasticity. Applied Mathematics and Mechanics (English Edition), 42(9), 1311-1326(2021) https://doi.org/10.1007/s10483-021-2763-7
[31] ZHOU, Q. J., LI, X. S., HUANG, B. G., LIU, L. J., GAO, S., ZHOU, H., LIU, J., LIU, B. H., and ZHANG, C. Y. Inversion of the physical properties of seafloor surface sediments based on AUV sub-bottom profile data in the northern slope of the south china sea. Scientific Reports, 11(1), 1-11(2021)
[32] ZHU, C. Q., ZHOU, L., ZHANG, H., JIAO, X. R., JIANG, J., SHENG, H. G., and JIA, Y. G. Preliminary study of physical and mechanical properties of surface sediment in Northern South China Sea (in Chinese). Journal of Engineering Geology, 25(6), 1566-1573(2017)
[33] MIHAI, L. A. and GORIELY, A. How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity. Royal Society, 473(2207), 1-32(2017)
[34] NING, L. and KAYA, M. Power law for elastic moduli of unsaturated soil. Journal of Geotechnical and Geoenvironmental Engineering, 140(1), 46-56(2014)
[35] LIU, X. L., ZHANG, X. M., WANG, H., and JIANG, B. Y. Laboratory testing and analysis of dynamic and static resilient modulus of subgrade soil under various influencing factors. Construction and Building Materials, 195(20), 178-186(2019)
[36] XIONG, C. B., HU, Q. Q., and GUO, Y. Dynamic response of saturated porous elastic foundation under porosity anisotropy (in Chinese). Chinese Journal of Theoretical and Applied Mechanics, 52(4), 1120-1130(2020)
[37] YOU, L. Y., YAN, K. Z., HU, Y. B., and ZOLLINGER, D. G. Spectral element solution for transversely isotropic elastic multi-layered structures subjected to axisymmetric loading. Computers and Geotechnics, 72, 67-73(2016)
[38] YOU, L. Y., YAN, K. Z., MAN, J., and SHI, T. 3D spectral element solution of multilayered half-space medium with harmonic moving load: effect of layer, interlayer, and loading properties on dynamic response of medium. International Journal of Geomechanics, 20(12), 04020227(2020)
[39] MAN, J., YAN, K. Z., MIAO, Y., LIU, Y., YANG, X., DIAB, A., and YOU, L. Y. 3D spectral element model with a space-decoupling technique for the response of transversely isotropic pavements to moving vehicular loading. Road Materials and Pavement Design, 23(11), 2567-2591(2022)
[40] GUO, Z. G. and BAI, B. Effect of saturation on thermo-hydro-mechanical coupled responses in porous media (in Chinese). Chinese Journal of Geotechnical Engineering, 40(6), 1021-1028(2018)
[41] ZHU, W., PAN, J. X., MA, W. B., DENG, S., ZHOU, W. J., LIU, W. Y., LONG, S. G., YANG, C. Q., and YOU, L. Y. Dynamic response of the heterogeneous deep-sea sediment with nonlinear gradient modulus to mining machine loading. Marine Georesources & Geotechnology, 40(3), 255-266(2022)
[42] ZHU, W., PAN, J. X., YOU, L. Y., and MA, W. B. Dynamic response analysis of deep-sea sediments with heterogeneity under moving non-uniform mining collector loading. Journal of Engineering Mechanics, 148(3), 04021159(2022)
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