Abstract
The excessive deformation of deep-sea sediments caused by the vibration of the mining machine will adversely affect the efficiency and safety of mining. Combined with the deep-sea environment, the coupled thermo-hydro-mechanical problem for saturated porous deep-sea sediments subject to the vibration of the mining vehicle is investigated. Based on the Green-Lindsay (G-L) generalized thermoelastic theory and Darcy’s law, the model of thermo-hydro-mechanical dynamic responses for saturated porous deep-sea sediments under the vibration of the mining vehicle is established. We obtain the analytical solutions of non-dimensional vertical displacement, excess pore water pressure, vertical stress, temperature, and change in the volume fraction field with the normal mode analysis method, and depict them graphically. The normal mode analysis method uses the canonical coordinate transformation to solve the equation, which can quickly decouple the equation by ignoring the modal coupling effect on the basis of the canonical mode. The results indicate that the vibration frequency has obvious influence on the vertical displacement, excess pore water pressure, vertical stress, and change in volume fraction field. The loading amplitude has a great effect on the physical quantities in the foundation, and the changes of the physical quantities increase with the increase in loading amplitude.
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WATZEL, R., RUHLEMANN, C., and VINK, A. Mining mineral resources from the seabed: opportunities and challenges. Marine Policy, 114, 103828 (2020)
HEIN, J. R., CONRAD, T. A., and STAUDIGEL, H. Seamount mineral deposits: a source of rare metals for high-technology industries. Oceanography, 23(1), 184–189 (2010)
TORO, N., ROBLES, P., and JELDRES, R. I. Seabed mineral resources, an alternative for the future of renewable energy: a critical review. Ore Geology Reviews, 126, 103699 (2020)
LIU, Y. X., LUO, G. L., and ZHUANG, Y. The status and forecast of China’s exploitation of renewable marine energy resources. Journal of Coastal Research, 73, 193–196 (2015)
PETERSEN, S., KRTSCHELL, A., AUGUSTIN, N., JAMIESON, J., HEIN, J. R., and HANNINGTON, M. D. News from the seabed-geological characteristics and resource potential of deep-sea mineral resources. Marine Policy, 70, 175–187 (2016)
WANG, S. L., BAI, F. L., HUANG, W. X., and SUN, Z. T. Current status and problems of exploration and development of world ocean metal mineral resources. Marine Geology & Quaternary Geology, 40(3), 160–170 (2020)
MO, L. and LIU, S. Q. Cooperation with south pacific island countries to explore and develop deep-sea mineral resources (in Chinese). China Mining Magazine, 18(6), 43–45 (2009)
LUSTY, P. A. J. and MURTON, B. J. Deep-ocean mineral deposits: metal resources and windows into earth processes. Elements, 14(25), 301–306 (2018)
NAGENDER, N. B. and SHARMA, R. Environment and deep-sea mining: a perspective. Marine Georesources and Geotechnology, 18(3), 285–294 (2000)
FENG, Y. L., LI, H. R., and ZHANG, W. M. Future trends of deep sea bed mining technology. Journal of Universuty of Science and Technology Beijing, 6(1), 4–7 (1999)
LIU, S. J., LIU, C., and DAI, Y. Status and progress on researches and developments of deep ocean mining equipments (in Chinese). Journal of Mechanical Engineering, 50(2), 8–12 (2014)
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 Geotechnology, 39(4), 408–418 (2021)
YANG, G. S., CHEN, D. D., LI, W. H., and LIU, X. Study on the overall design of deep-sea mining vessel based on pipeline hydraulic lifting mining system (in Chinese). Ship Engineering, 41(1), 23–27 (2019)
DING, L. H. and GAO, Y. Q. Research and development of deep-sea mining collector (in Chinese). Mining Research and Development, A1, 52–56 (2006)
WANG, Z. Q., LU, Y., and BAI, C. H. Numerical analysis of blast-induced liquefaction of soil. Computers and Geotechnics, 35(2), 196–209 (2008)
HAKAM, A., YULIET, R., RISAYANTI, PUTRA, H. G., and SUNARYO. Foundation stability on sandy soil due to excessive pore water pressure: laboratory observations. IOP Conference Series: Earth and Environmental Science, 361(1), 012011 (2019)
KUNGA, A., SVOBODOVA, K., LEBREA, E., VALENTA, R., KEMPA, D., and OWENA, J. R. Governing deep sea mining in the face of uncertainty. Journal of Environmental Management, 279, 111593 (2020)
JONES, D. O. B., DURDEN, J. M., MURPHY, K., GJERDE, K. M., GEBICKA, A., COLOCO, A., MORATO, T., CUVELIER, D., and BILLETT, D. S. M. Existing environmental management approaches relevant to deep-sea mining. Marine Policy, 103, 172–181 (2019)
SMITH, C. R., TUNNICLIFFE, V., COLACO, A., DRAZEN, J. C., GOLLNER, S., LEVIN, L. A., MESTRE, N. C., METAXAS, A., MOLODTSOVA, T. N., MORATO, T., SWEETMAN, A. K., WASHBURN, T., and AMON, D. J. Deep-sea misconceptions cause underestimation of seabed-mining impacts. Trends in Ecology & Evolution, 35(10), 853–857 (2020)
WATANABE, H. K., SHIGENO, S., FUJIKURA, K., MATSUI, T., KATO, S., and YAMAMOTO, H. Faunal composition of deep-sea hydrothermal vent fields on the Izu-Bonin-Mariana Arc, northwestern Pacific. Deep-Sea Research Part I, Oceanographic Research Papers, 149, 103050 (2019)
ORCUTT, B. N., BRADLEY, J. A., BRAZELTON, W. J., ESTES, E. R., GOORDIAL, J. M., HUBER, J. A., JONES, R. M., MAHMOUDI, N., MARLOW, J. J., MURDOCK, S., and PACHIADAKI, M. Impacts of deep-sea mining on microbial ecosystem services. Limnology and Oceanography, 65(7), 1489–1510 (2020)
BIOT, M. A. Thermoelasticity and irreversible thermodynamics. Journal of Applied Physics, 27(3), 240–253 (1956)
LORD, H. W. and SHULMAN, Y. A generalized dynamical theory of thermoelasticity. Journal of the Mechanics and Physics of Solids, 15, 299–309 (1967)
GREEN, A. E. and LINDSAY, K. A. Thermoelasticity. Journal of Elasticity, 2(1), 1–7 (1927)
GREEN, A. E. and NAGHDI, P. M. A re-examination of the basic postulates of thermomechanics. Proceedings of the Royal Society: Mathematical and Physical Sciences, 432(1885), 171–194 (1991)
GREEN, A. E. and NAGHDI, P. M. On undamped heat waves in an elastic solid. Journal of Thermal Stresses, 15(2), 253–264 (1992)
GREEN, A. E. and NAGHDI, P. M. Thermoelasticity without energy dissipation. Journal of Elasticity, 31(3), 189–208 (1993)
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)
LIU, G. B., YAO, H. L., YANG, Y., and LU, Z. Coupling thermo-hydro-mechanical dynamic response of a porous elastic medium (in Chinese). Rock and Soil Mechanics, 28(9), 1784–1788 (2007)
WANG, X. C., GE, Z. J., and WU, H. W. An algebraic multigrid method for coupled thermo-hydromechanical problems. Applied Mathematics and Mechanics (English Edition), 23(12), 1464–1471 (2002) https://doi.org/10.1007/BF02438387
LU, Z., YAO, H. L., LIU, G. B., and LUO, X. W. Research on characteristics of porous foundation subjected to moving loads based on generalized thermoelastic theory (in Chinese). Chinese Journal of Rock Mechanics and Engineering, 28(A2), 4014–4020 (2009)
BAI, B. Fluctuation responses of saturated porous media subjected to cyclic thermal loading. Computers and Geotechnics, 33(8), 396–403 (2006)
CHEN, W. Z., TAN, X. J., YU, H. D., WU, G. J., and JIA, X. P. A fully coupled thermo-hydromechanical model for unsaturated porous media. Journal of Rock Mechanics and Geotechnical Engineering, 1(1), 31–40 (2009)
XIONG, C. B., GUO, Y., and DIAO, Y. Dynamic responses of saturated porous foundations under coupled thermo-hydro-mechanical effects (in Chinese). Applied Mathematics and Mechanics, 39(6), 689–699 (2018)
XIONG, C. B., HU, J. J., 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)
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
IESAN, D. A theory of thermoelastic materials with voids. Acta Mechanica, 60(1–2), 67–89 (1986)
RILEY, J. P. and SKIRROW, G. Chemical Oceanography, Volume I, Academic Press, New York, 1–38 (1998)
NI, J. Y., ZHOU, H. Y., PAN, J. M., ZHAO, H. Q., HU, C. Y., and WANG, F. G. Geochemical characteristics of sediments from the COMRA registered pioneer area (CRPA), equatorial northeastern Pacific Ocean. Acta Oceanologics Sinica, 20(4), 553–561 (2001)
LIANG, E. J. Negative thermal expansion materials and their applications: a survey of recent patents. Recent Patents on Materials Science, 3(2), 106–128 (2010)
WEI, S., KONG, X., WANG, H., MAO, Y., CHAO, M., GUO, J., and LIANG, E. Negative thermal expansion property of CuMoO4. Optik, 160, 61–67 (2018)
KUMAR, R. and RANI, L. Deformation due to mechanical and thermal sources in generalized thermoelastic half-space with voids. Journal of Thermal Stresses, 28(2), 123–145 (2005)
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Citation: ZHU, W., SHI, X. Y., HUANG, R., HUANG, L. Y., and MA, W. B. Research on coupled thermo-hydro-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
Project supported by the National Natural Science Foundation of China (No. 12072309), the Youth Fund Foundation of Education Bureau of Hunan Province of China (No. 19B546), and the High-Level Talent Gathering Project in Hunan Province of China (No. 2019RS1059)
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Zhu, W., Shi, X., Huang, R. et al. Research on coupled thermo-hydro-mechanical dynamic response characteristics of saturated porous deep-sea sediments under vibration of mining vehicle. Appl. Math. Mech.-Engl. Ed. 42, 1349–1362 (2021). https://doi.org/10.1007/s10483-021-2768-5
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DOI: https://doi.org/10.1007/s10483-021-2768-5
Key words
- deep-sea sediment
- thermo-hydro-mechanical dynamic
- generalized thermoelastic theory
- normal mode analysis
- dynamic response characteristic