颗粒岩土介质热导率预测关联式及其演化机制

doi:10.13722/j.cnki.jrme.2019.0640

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Abstract To study the effective thermal conductivity(ETC) of composite-porous granular geomaterials，an improved mesoscopic cylindrical unit cell containing three phases of solid，liquid and gas，was established based on particle geometric characteristics. The relationship between ETC of the unit cell and the thermal conductivity of each component as well as structure parameters such as porosity and degree of saturation was then obtained by using thermal-electrical analogy lumped parameter method. Taking the saturation degree as a linkage，an unified evolution conceptual model of soil-water-thermal conductivity characteristic curve(SWTCC) was further proposed via analogy analysis on soil-water characteristic curve(SWCC). The results demonstrate that the developed predicting model of ETC based on multi-scale homogenization theory not only has clear physical meaning without any empirical constant but also appears significant improvement in the coincidence degree with sandy soil experimental test results. The average ratio of the experimental value to the theoretical value decreases from 1.58 to 1.27 and can be further controlled within 1.03–1.16 through linear correction. It is also illustrated that ETC is affected by the distribution pattern and physical mechanism of pore water in geomaterials，and the shift evolution of proposed conceptual model of SWTCC can effectively explain the ETC increases in a concave and convex trend(sigmoid function) with increasing the saturation for geomaterimals with different fines contents or cementation degrees，indicating that this conceptual model is a valid tool to unify most of ETC prediction models for different geomaterials.

Key words： geotechnical engineering granular matter thermal conductivity component structure evolution

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	Articles by authors
	CHU Zhaoxiang1
	2
	3
	ZHOU Guoqing2
	3
	RAO Zhonghao1
	ZHAO Xiaodong2
	3
	WANG Tao2
	3

Cite this article:

CHU Zhaoxiang1,2,3, et al. Predicting correlation and evolution mechanisms of the effective thermal conductivity of granular geomaterials[J]. , 2020, 39(2): 384-397.

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http://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2019.0640 OR http://rockmech.whrsm.ac.cn/EN/Y2020/V39/I2/384

[42]	陈善雄，陈守义. 砂土热导率的实验研究[J]. 岩土工程学报，1994，16(5)：47-53.(CHEN Shanxiong，CHEN Shouyi. Experimental study on thermal conductivity of sand[J]. Chinese Journal of Geotechnical Engineering，1994，16(5)：47-53.(in Chinese))
[16]	刘为民，何平，张钊. 土体导热系数的评价与计算[J]. 冰川冻土，2002，24(6)：770-773.(LIU Weimin，HE Ping，ZHANG Zhao. A calculation method of thermal conductivity of soils[J]. Journal of Glaciology and Geocryology，2002，24(6)：770-773.(in Chinese))
[36]	MITARAI N，NORI F. Wet granular materials[J]. Advances in Physics，2006，55(1/2)：1-45.
[29]	JOHANSEN O. Thermal conductivity of Soils[Ph. D. Thesis][D]. Trondheim，Norway：Trondheim University，1975.
[39]	DE VRIES D A. Thermal properties of soils[C]// Physics of Plant Environment. Amsterdam：North-Holland Publishing Company，1963：161-166.
[5]	ALISHAEV M G，ABDULAGATOV I M，ABDULAGATOVA Z Z. Effective thermal conductivity of fluid-saturated rocks[J]. Engineering Geology，2012，135-136：24-39.
[15]	JIA G S，TAO Z Y，MENG X Z，et al. Review of effective thermal conductivity models of rock-soil for geothermal energy applications[J]. Geothermics，2019，77：1-11.
[27]	HAIGH S K. Thermal conductivity of sands[J]. Geotechnique，2012，62(7)：1-9.
[37]	YUN T S，SANTAMARINA J C. Fundamental study of thermal conduction in dry soils[J]. Granular Matter，2007，10(3)：197-207.
[2]	TARNAWSKI V R，GORI F. Enhancement of the cubic cell soil thermal conductivity model[J]. International Journal of Energy Research，2002，26(2)：143-157.
[3]	TARNAWSKI V R，LEONG W H. Thermal conductivity of soils at very low moisture content and moderate temperatures[J]. Transport in Porous Media，2000，41(2)：137-147.
[7]	ABU-HAMDEH N H，REEDER R C. Soil thermal conductivity：Effects of density，moisture，salt concentration，and organic matter[J]. Soil Science Society of America Journal，2000，64(4)：1 285-1 290.
[9]	苏天明，刘彤，李晓昭，等. 南京地区土体热物理性质测试与分析[J]. 岩石力学与工程学报，2006，25(6)：1 278-1 283.(SU Tianming，LIU Tong，LI Xiaozhao，et al. Test and analysis of thermal properties of soil in Nanjing district[J]. Chinese Journal of Rock Mechanics and Engineering，2006，25(6)：1 278-1 283.(in Chinese))
[12]	DONG Y，MCCARTNEY J S，LU N. Critical review of thermal conductivity models for unsaturated soils[J]. Geotechnical and Geological Engineering，2015，33(2)：207-221.
[13]	ZHANG N，WANG Z. Review of soil thermal conductivity and predictive models[J]. International Journal of Thermal Sciences，2017，117：172-183.
[17]	许模，王迪，蒋良文，等. 岩土体导热系数研究进展[J]. 地球科学与环境学报，2011，33(4)：421-427.(XU Mo，WANG Di，JIANG Liangwen，et al. Review on thermal conductivity coefficient of rock and soil mass[J]. Journal of Earth Sciences and Environment，2011，33(4)：421-427.(in Chinese))
[19]	HSU C T，CHENG P，WONG K W. A lumped-parameter model for stagnant thermal conductivity of spatially periodic porous media[J]. Journal of Heat Transfer，1995，117：264-269.
[22]	GORI F，CORASANITI S. Theoretical prediction of the soil thermal conductivity at moderately high temperatures[J]. Journal of Heat Transfer，2002，124(6)：1 001-1 008.
[23]	GORI F，CORASANITI S. Theoretical prediction of the thermal conductivity and temperature variation inside Mars soil analogues[J]. Planetary and Space Science，2004，52(1/3)：91-99.
[10]	原喜忠，李宁，赵秀云，等. 非饱和(冻)土导热系数预估模型研究[J]. 岩土力学，2010，31(9)：2 689-2 694.(YUAN Xizhong，LI Ning，ZHAO Xiuyun，et al. Study of thermal conductivity model for unsaturated unfrozen and frozen soils[J]. Rock and Soil Mechanics，2010，31(9)：2 689-2 694.(in Chinese))
[20]	CHENG P，HSU C T. The effective stagnant thermal conductivity of porous media with periodic structures[J]. Journal of Porous Media，1999，2 (1)：19-38.
[25]	CORASANITI S，GORI F. Heat conduction in two and three-phase media with solid spherical particles of the same diameter[J]. International Journal of Thermal Sciences，2017，112：460-469.
[30]	LU N，DONG Y. Closed-form equation for thermal conductivity of unsaturated soils at room temperature[J]. Journal of Geotechnical and Geoenvironmental Engineering，2015，141(6)：04015016-1-12.
[33]	SADEGHI M，GHANBARIAN B，HORTON R. Derivation of an explicit form of the percolation-based effective-medium approximation for thermal conductivity of partially saturated soils[J]. Water Resources Research，2018，54(2)：1 389-1 399.
[40]	CHEN S X. Thermal conductivity of sands[J]. Heat and Mass Transfer，2008，44(10)：1 241-1 246.
[43]	AARON R J，CARLTON H L. A review of two methods to model the thermal conductivity of sands[C]// Proceedings of American Society of Civil Engineers Geotechnical Frontiers 2017. Orlando，USA：[s. n. ]，2017：800-808.
[8]	COTE J，KONRAD J M. A generalized thermal conductivity model for soils and construction materials[J]. Canadian Geotechnical Journal，2005，42(2)：443-458.
[18]	程超，于文刚，贾婉婷，等. 岩石热物理性质的研究进展及发展趋势[J]. 地球科学进展，2017，32(10)：1 072-1 082.(CHENG Chao，YU Wengang，JIA Wanting，et al. Research progress and development tendency about thermal physical properties of rocks[J]. Advances in Earth Science，2017，32(10)：1 072-1 082.(in Chinese))
[28]	BI J，ZHANG M，CHEN W，et al. A new model to determine the thermal conductivity of fine-grained soils[J]. International Journal of Heat and Mass Transfer，2018，123：407-417.
[38]	梁新刚，过增元，徐云生. 砂粒堆积床瞬态导热的理论分析[J]. 中国科学(A辑)，1995，25(11)：1 168-1 174.(LIANG Xingang，GUO Zengyuan，XU Yunsheng. Theoretical analysis on transient heat conduction of sand packed bed[J]. Science in China(Series A)，1995，25(11)：1 168-1 174.(in Chinese))
[1]	王铁行，李宁，谢定义. 土体水热力耦合问题研究意义、现状及建议[J]. 岩土力学，2005，26(3)：488-493.(WANG Tiehang，LI Ning，XIE Dingyi. Necessity and means in research on soil coupled heat-moisture-stress issues[J]. Rock and Soil Mechanics，2005，26(3)：488-493.(in Chinese))
[4]	ABDULAGATOVA Z，ABDULAGATOV I M，EMIROV V N. Effect of temperature and pressure on the thermal conductivity of sandstone[J]. International Journal of Rock Mechanics and Mining Sciences，2009，46(6)：1 055-1 071.
[6]	CLAUSER C. Thermal storage and transport properties of rocks，II：thermal conductivity and diffusivity[C]// GUPTA H K. Encyclopedia of Solid Earth Geophysics. Dordrecht，Springer Netherlands，2011：1 431-1 448.
[11]	曾召田，吕海波，赵艳林，等. 广西红黏土热导率测试及理论预测模型研究[J]. 岩石力学与工程学报，2017，36(增1)：3 525-3 534. (ZENG Zhaotian，LV Haibo，ZHAO Yanlin，et al. Experimental research on thermal conductivity of red clay in Guangxi and its theory prediction models[J]. Chinese Journal of Rock Mechanics and Engineering，2017，36(Supp.1)：3 525-3 534.(in Chinese))
[14]	张楠，夏胜全，侯新宇，等. 土热传导系数及模型的研究现状和展望[J]. 岩土力学，2016，37(6)：1 550-1 562.(ZHANG Nan，XIA Shengquan，HOU Xinyu，et al. Review on soil thermal conductivity and prediction model[J]. Rock and Soil Mechanics，2016，37(6)：1 550-1 562.(in Chinese))
[21]	GORI F. A theoretical model for predicting the effective thermal conductivity of unsaturated frozen soils[C]// Proceedings of the 4th International Conference on Permafrost. Fairbanks，Alaska，USA：[s. n. ]，1983：363-368.
[24]	GORI F，CORASANITI S. New model to evaluate the effective thermal conductivity of three-phase soils[J]. International Communications in Heat and Mass Transfer，2013，47：1-6.
[26]	CHU Z，ZHOU G，WANG Y，et al. A supplementary analytical model for the stagnant effective thermal conductivity of low porosity granular geomaterials[J]. International Journal of Heat and Mass Transfer，2019，133：994-1 007.
[31]	GENUCHTEN V. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils[J]. Soil Science Society of America Journal，1980，44(44)：892-898.
[41]	ALRTIMI A，ROUAINIA M，HAIGH S. Thermal conductivity of a sandy soil[J]. Applied Thermal Engineering，2016，106：551-560.
[32]	GHANBARIAN B，DAIGLE H. Thermal conductivity in porous media：Percolation-based effective-medium approximation[J]. Water Resources Research，2016，52(1)：295-314.
[34]	EWING R P，HORTON R. Thermal conductivity of a cubic lattice of spheres with capillary bridges[J]. Journal of Physics D：Applied Physics，2007，40(16)：4 959-4 965.
[35]	LIKOS W J. Pore-scale model for thermal conductivity of unsaturated sand[J]. Geotechnical and Geological Engineering，2015，33(2)：1-14.
[44]	邵明安，王全九，黄明斌. 土壤物理学[M]. 北京：高等教育出版社，2006：174-175.(SHAO Mingan，WANG Quanjiu，HUANG Mingbin. Soil physics[J]. Beijing：Higher Education Press，2006：174-175.(in Chinese))
[45]	LU S，LU Y，PENG W，et al. A generalized relationship between thermal conductivity and matric suction of soils[J]. Geoderma，2019，337：491-497.
[46]	LIKOS W J. Modeling thermal conductivity dryout curves from soil- water characteristic curves[J]. Journal of Geotechnical and Geoenvironmental Engineering，2013，140(5)：1-13.