温度影响下的花岗岩分数阶导数渗透率模型

doi:10.13722/j.cnki.jrme.2019.0388

Abstract
Figure/Table
References (0)
Related Citation (15)

Download: PDF (434 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract Decay heat generates from the cave of high-level radioactive waste disposal repository，which results in temperature climbing among the surrounding rock. Therefore，the influence of temperature in permeability of surrounding rock plays an important role in evaluating nuclide migration. In this context，the paper represents an evolution of Beishan granite permeability with an experiment of triaxial compression test in vary temperature，in an effort to obtain the evolution of permeability in the process of complete stress-strain curve. The permeability dependent curve of liquid ?p-t is fitting precisely by virtue of pressure drop attenuation model，which introduce the Mittag-Leffler function into the model of the traditional exponential permeability via the fractional derivative approach. By adhibitting fracture connectivity parameter C，the relation between fracture connectivity C and fractional order ? is established to reflect the density of original rock sample and the connectivity degree of the fracture network under triaxial compression. In the perspective of permeability model in fractional derivative，the influence of temperature on rock characteristic parameters is discussed，drawing a conclusion on the influence mechanism of temperature on the permeability evolution. Ultimately，the quantitative expression of the permeability of Beishan granite with respect to temperature is given.

Key words： rock mechanics granite fractional derivative permeability connectivity temperature

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	AN Lu1
	ZHOU Hongwei2
	3
	YANG Shuai1
	SUN Xiaotong1
	WANG Lei1
	CHE Jun1

Cite this article:

AN Lu1,ZHOU Hongwei2,3, et al. Fractional derivative permeability modeling approach to the influence of temperature on granite[J]. , 2019, 38(S2): 3672-3679.

URL:

https://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2019.0388 OR https://rockmech.whrsm.ac.cn/EN/Y2019/V38/IS2/3672

[1]	CHEN Y，HU S，KAI W，et al. Experimental characterization and micromechanical modeling of damage-induced permeability variation in Beishan granite[J]. International Journal of Rock Mechanics and Mining Sciences，2014，71：64–76.
[2]	BRACE W F，WALSH J B，FRANGOS W T. Permeability of granite under high pressure[J]. Geophys，1968，73(6)：2 225–2 236.
[3]	JIANG T，SHAO J F，XU W Y，et al. Experimental investigation and micromechanical analysis of damage and permeability variation in brittle rocks[J]. International Journal of Rock Mechanics and Mining Sciences，2010，47(5)：703–713.
[4]	李鹏飞，赵星光，郭政，等. 北山花岗岩在三轴压缩条件下的强度参数演化[J]. 岩石力学与工程学报，2017，36(7)：1 599– 1 610.(LI Pengfei，ZHAO Xingguang，GUO Zheng，et al. Evolution of strength parameters of the Beishan granite under triaxial compression conditions[J]. Chinese Journal of Rock Mechanics and Engineering，2017，36(7)：1 599–1 610.(in Chinese))
[5]	DWIVEDI R D，GOEL R K，PRASAD V V R，et al. Thermo-mechanical properties of Indian and other granites[J]. International Journal of Rock Mechanics and Mining Sciences，2008，45(3)：303–315.
[6]	ZHANG W，SUN Q，HAO S，et al. Experimental study on the variation of physical and mechanical properties of rock after high temperature treatment[J]. Applied Thermal Engineering，2016，98： 1 297–1 304.
[7]	赵阳升，万志军，张渊，等. 岩石热破裂与渗透性相关规律的试验研究[J]. 岩石力学与工程学报，2010，29(10)：1 970–1 976. (ZHAO Yangsheng，WAN Zhijun，ZHANG Yuan，et al. Experimental study of related laws of rock thermal cracking and permeability[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(10)：1 970–1 976.(in Chinese))
[8]	KIM J，KWON S，SANCHEZ M，et al. Geological storage of high level nuclear waste[J]. KSCE Journal of Civil Engineering，2011，15(4)：721–737.
[9]	徐维生，柴军瑞，王如宾，等. 低渗透介质非达西渗流研究进展[J]. 勘察科学技术，2007，25(3)：20–24.(XU Weisheng，CHAI Junrui，WANG Rubin，et al. Progress on study of non-Darcy seepage in low permeability media[J]. Site Investigation Science and Technology，2007，25(3)：20–24.(in Chinese))
[10]	ZHOU H W，YANG S. Fractional derivative approach to non-Darcian flow in porous media[J]. Journal of Hydrology，2018，556：910–918.
[11]	YANG S，ZHOU H W，ZHANG S Q，et al. A fractional derivative perspective on transient pulse test for determining the permeability of rocks[J]. International Journal of Rock Mechanics and Mining Sciences，2019，113：92–98.
[12]	徐少波. 核废料处置库近场花岗围岩温度场模拟研究[硕士学位论文][D]. 成都：成都理工大学，2016.(XU Shaobo. Simulation study of temperature field of nuclear waste repository near-field granite surrounding rock[M. S. Thesis][D]. Chengdu：Chengdu University of Technology，2016.(in Chinese))
[13]	CHEN S，YANG C，WANG G. Evolution of thermal damage and permeability of Beishan granite[J]. Applied Thermal Engineering，2017，110：1 533–1 542.
[14]	孙军昌，杨正明，郭和坤，等. 致密储层渗透率测试的稳态与非稳态法对比研究[J]. 岩土力学，2013，34(4)：1 009–1 016.(SUN Junchang，YANG Zhengming，GUO Hekun，et al. Comparative study of tight reservoir permeability using steady-state and unsteady-state methods[J]. Rock and Soil Mechanics，2013，34(4)：1 009–1 016.(in Chinese))
[15]	XIE H P. Fractals in rock mechanics[M]. Rotterdam，Netherlands：A. A. Balkema Publishers，1993：240–242.
[16]	中华人民共和国煤炭工业部. 中华人民共和国煤炭工业部标准煤和岩石物理力学性质测定方法[M]. 北京：中国标准出版社，1988：1–2.(Coal Industry Ministry of People?s Republic of China. Standard of Coal Industry Ministry of People?s Republic of China Determination of physical and mechanical properties of coal and rock[M]. Beijing：Standards Press of China，1998：1–2.(in Chinese))
[17]	GUEGUEN Y，DIENES J. Transport properties of rocks from statistics and percolation[J]. Mathematical Geology，1989，21(1)：1–13.
[18]	蔡美峰，何满潮，刘东燕. 岩石力学与工程[M]. 北京：科学出版社，2002：151–164.(CAI Meifeng，HE Manchao，LIU Dongyan. Rock mechanics and engineering[M]. Beijing：Science Press，2002：151–164.(in Chinese))
[19]	袁广祥，张路青，曾庆利，等. 花岗岩矿物组成与其单轴抗压强度的相关性研究[J]. 水文地质工程地质，2018，45(5)：93–100. (YUAN Guangxiang，ZHANG Luqing，ZENG Qingli，et al. Correlation of the mineralogical characteristics with the uniaxial compressive strength of granite[J]. Hydrogeology and Engineering Geology，2018，45(5)：93–100.(in Chinese))
[20]	冯夏庭，丁梧秀. 应力–水流–化学耦合下岩石破裂全过程的细观力学试验[J]. 岩石力学与工程学报，2005，34(9)：1 465–1 473. (FENG Xiating，DING Wuxiu. Meso-mechanical experiment of microfracturing process of rocks under the coupled mechanical- hydrological-chemical environment[J]. Chinese Journal of Rock Mechanics and Engineering，2005，34(9)：1 465–1 473.(in Chinese))
[21]	梁冰，高红梅，兰永伟. 岩石渗透率与温度关系的理论分析和试验研究[J]. 岩石力学与工程学报，2005，34(12)：2 009–2 012. (LIANG Bing，GAO Hongmei，LAN Yongwei. Theoretical study on the relation between rock permeability and temperature[J]. Chinese Journal of Rock Mechanics and Engineering，2005，34(12)：2 009–2 012.(in Chinese))
[22]	HEARD H C. Thermal expansion and inferred permeability of climax quarts monzonite to 300 ℃ and 27.6 MPa[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1980，17(5)：289–296.