脆性岩石起裂应力水平与脆性指标关系探讨

摘要
图/表
参考文献
相关文章 (15)

全文: PDF (0 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要脆性指标与起裂应力作为岩石力学性质的内在体现，均反映岩石的非均质性和结构上的差异，二者存在一种必然的联系，通过理论研究和算例分析来探讨起裂应力水平与基于单轴抗压、抗拉强度比值的脆性指标的关系。首先，归纳总结基于压拉比、全应力–应变特征及硬度或坚固性的28种基本脆性测试方法。然后，研究硬脆性岩石单轴压缩起裂机制，讨论基于裂纹体积应变拐点的起裂应力确定方法，并定义起裂应力水平指标K。最后，结合具体工程算例探讨岩石起裂应力与基于压拉比的脆性指标的函数关系，深入验证起裂应力水平和脆性指标间内在联系的必然性。得出以下结论：(1) 以岩石单轴抗压、抗拉强度为纽带，建立起裂应力水平和脆性指标间的函数关系，根据单轴压缩起裂应力与单轴抗拉强度的关系，进一步验证脆性指标与起裂应力水平存在内在联系的必然性。(2) 岩石起裂应力水平与脆性指标B5和B6存在明显的函数关系，起裂应力水平与B5呈幂函数关系，与B6呈线性函数关系，相关系数均大于85%。(3) 采用起裂应力水平指标重新定义脆性指标，通过岩石的室内单轴压缩试验，由起裂应力水平可以快速得到岩石的脆性指标。通过这一研究，丰富了岩石起裂应力与脆性指标的关系，为脆性指标的计算提供了一条新思路。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章

关键词 ：岩石力学, 脆性岩石, 脆性指标, 起裂应力, 单轴压缩试验, 函数关系

Abstract：Brittleness index and crack initiation stress，as the intrinsic reflection of mechanical properties for rock，reflect the heterogeneity and structural differences of rocks. Supposing that there exists a certain inevitable relationship between them，theoretical research and case study are conducted. Firstly，28 kinds of basic brittleness testing methods，based on ratio of uniaxial compressive strength to tensile strength，the whole stress-strain characteristics and hardness or soundness，are summarized. Secondly，the crack initiation mechanism for brittle rocks under uniaxial compression is studied. The method to determine crack initiation stress level is discussed by means of inflection points of crack volume strain curve；and the crack initiation stress level is defined as K. Finally，two cases are given to expose the function relationship between crack initiation stress and brittleness indices. Some conclusions are drawn as follows：(1) Based on the achievement of predecessors，by using the uniaxial compressive and tensile strengths，it is found that there exists a certain relation between crack initiation stress level and brittleness indices. (2) There are obvious function relationship between crack initiation stress level and brittleness indices B5，B6. To B5 is power function relation，and to B6 is linear function relation. The correlation coefficients are both greater than 85%，showing a strong correlation. (3) Brittleness index is redefined by crack initiation stress level，which can be obtained easily and quickly based on crack initiation stress level under uniaxial compression test. This study enriches the relationship between crack initiation stress and brittleness indices，and provides a new idea to determine the brittleness indices.

Key words： rock mechanics brittle rocks brittleness index crack initiation stressuniaxial compression test function relationship

收稿日期: 2013-03-13

引用本文:

王宇1，2，李晓1，武艳芳1，贲雨星1，李定守1，赫建明1，张搏1，2. 脆性岩石起裂应力水平与脆性指标关系探讨[J]. 岩石力学与工程学报, 2014, 33(2): 264-275.
WANG Yu1，2，LI Xiao1，WU Yanfang1，BEN Yuxing1，LI Shouding1，HE Jianming1，ZHANG Bo1，2. RESEARCH ON RELATIONSHIP BETWEEN CRACK INITIATION STRESS LEVEL AND BRITTLENESS INDICES FOR BRITTLE ROCKS. , 2014, 33(2): 264-275.

链接本文:

http://www.rockmech.org/CN/Y2014/V33/I2/264

[1]	MORLEY A. Strength of materials[M]. London：Longman Green，1944：71-72. " target="_blank">
[10]	HONDA H，SANADA Y. Hardness of coal[J]. Fuel，1956，35：451. " target="_blank">
[36]	BIENIAWSKI Z T. Mechanism of brittle fracture of rock，parts I，II and III[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1967，4(4)：395-430. " target="_blank">
[2]	HETENY M. Handbook of experimental stress analysis[M]. New York：John Wiley，1966：23-25. " target="_blank">
[5]	JESSE V H. Glossary of geology and related sciences[M]. Washington D. C.：American Geological Institute，1960：99-102. " target="_blank">
[7]	ALTINDAG R，GUNEY A. Predicting the relationships between brittleness and mechanical properties(UCS，TS and SH) of rocks[J]. Scientific Research and Essays，2010，5(16)：2 107-2 118. " target="_blank">
[11]	PROTODYAKONOV M M. Mechanical properties and drillability of rocks[C]// Proceedings of the 5th Symposium on Rock Mechanics. Twin Cities，USA：University of Minnesota Press，1963：103-118. " target="_blank">
[13]	LAWN B R，MARSHALL D B. Hardness，toughness and brittleness：an indentation analysis[J]. Journal of American Ceramic Society，1979，62(7/8)：347-350. " target="_blank">
[15]	AUBERTIN M，GILL D E.，SIMON R. On the use of the brittleness index modified(BIM) to estimate the post peak behavior or rocks[C]// Proceedings of the 1st North American Rock Mechanics Symposium. Rotterdam：A. A. Balkema，1994：945-952. " target="_blank">
[18]	BLINDHEIM O T，BRULAND A. Boreability testing[C]// Norwegian TBM tunneling—30 years of experience with TBMs in Norwegian tunneling. Trondheim，Norway：Norwegian Soil and Rock Engineering Association，1998：29-34. " target="_blank">
[23]	AJIABDOLMAJID V，KAISER P. Brittleness of rock and stability assessment in hard rock tunneling[J]. Tunnelling and Underground Space Technology，2003，18(1)：35-48. " target="_blank">
[26]	李庆辉，陈勉，金衍，等. 页岩脆性的室内评价方法及改进[J]. 岩石力学与工程学报，2012，31(8)：1 681-1 685.(LI Qinghui，CHEN Mian，JIN Yan，et al. Indoor evaluation method for shale brittleness and improvement[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(8)：1 681-1 685.(in Chinese))
[28]	BRACE W F，PAULDING B W，SCHOLZ C. Dilatancy in the fracture of crystalline rocks[J]. Journal of Geophysical Research，1966，71(16)：3 939-3 953. " target="_blank">
[29]	MARTIN C D. The effect of cohesion loss and stress path on brittle rock strength[J]. Canadian Geotechnical Journal，1997，34(5)：698-725. " target="_blank">
[32]	COTTERELL B，RICE J R. Slightly curved or kinked cracks[J]. International Journal of Fracture，1980，16(2)：155-169. " target="_blank">
[34]	CAI M，KAISERA P K，TASAKAB Y，et al. Generalized crack initiation and crack damage stress thresholds of brittle rock masses near underground excavations[J]. International Journal of Rock Mechanics and Mining Sciences，2004，41(5)：833-847.
[3]	RAMSAY J G. Folding and fracturing of rocks[M]. London：McGraw- Hill，1967：44-47. " target="_blank">
[12]	BISHOP A W. Progressive failure with special reference to the mechanism causing it[C]// Proceedings of the Geotechnical Conference. Oslo：[s.n.]，1967：142-150. " target="_blank">
[17]	QUINN J B，QUINN G D. Indentation brittleness of ceramics：a fresh approach[J]. Journal of Materials Science，1997，32(16)：4 331-4 346. " target="_blank">
[21]	HAJIABDOLMAJIDA V，KAISER P K，MARTIN C D. Modelling brittle failure of rock[J]. International Journal of Rock Mechanics and Mining Sciences，2002，39(6)：731-741.
[30]	MARTIN C D. The strength of massive Lac du Bonnet granite around underground opening[Ph. D. Thesis][D]. Manitoba，Canada：University of Manitoba，1993. " target="_blank">
[33]	ZHANG Z X. An empirical relation between mode I fracture toughness and the tensile strength of rock[J]. International Journal of Rock Mechanics and Mining Sciences，2002：39(3)：401-406. " target="_blank">
[35]	CAI M. Practical estimates of tensile strength and Hoek-Brown strength mi of brittle rocks[J]. Rock Mechanics and Rock Engineering，2010，43：167-184 " target="_blank">
[38]	DIEDERICHS M S. Instability of hard rock masses：the role of tensile damage and relaxation[Ph. D. Thesis][D]. Waterloo，Canada：University of Waterloo，1999. " target="_blank">
[6]	HUCKA V，DAS B. Brittleness determination of rocks by different methods[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1974，11(10)：389-392. " target="_blank">
[14]	BAZANT Z P，KAZEMI M T. Determination of fracture energy，process zone length and brittleness number from size effect，with application to rock and concrete[J]. International Journal of Fracture，1990，44：111-131. " target="_blank">
[22]	COPUR H，BILGIN N，TUNCDEMIR H，et al. A set of indices based on indentation test for assessment of rock cutting performance and rock properties[J]. Journal of the South African Institute of Mining and Metallurgy，2003，103(9)：589-600. " target="_blank">
[37]	THAM L G，LIU H，TANG C A，et al. On tension failure of 2D rock specimens and associated acoustic emission[J]. Rock Mechanics and Rock Engineering，2005，38(1)：1-19.
[8]	YAGIZ S，GOKCEOGLU C. Application of fuzzy inference system and nonlinear regression models for predicting rock brittleness[J]. Expert Systems with Applications，2010，(37)：2 265-272. " target="_blank">
[19]	冯涛，谢学斌. 岩石脆性及描述岩爆倾向的脆性系数[J]. 矿冶工程，2000，20(4)：18-20.(FENG Tao，XIE Xuebin. Brittleness of rocks brittleness indexes for describing rock burst proneness[J]. Mining and Metallurgical Engineering，2000，20(4)：18-20.(in Chinese))
[24]	RICKMAN R，MULLEN M，PETRE E，et al. A practical use of shale petrophysics for stimulation design optimization：all shale plays are not clones of the Barnett shale[R]. SPE 115258，2008. " target="_blank">
[27]	周维垣. 高等岩石力学[M]. 北京：中国水利水电出版社，1990：413-435.(ZHOU Weiyuan. Advanced rock mechanics[M]. Beijing：China Water Power Press，1990：413-435.(in Chinese)) " target="_blank">
[4]	OBERT L，DUVALL W I. Rock mechanics and the design of structures in rock[M]. New York：John Wiley，1967：78-82. " target="_blank">
[9]	ALTINDAG R. The correlation of specific energy with rock brittleness concept on rock cutting[J]. Journal of the South African Institute of Mining and Metallurgy，2003，103(3)：163-171. " target="_blank">
[16]	GEORGE E A. Brittle failure of rock material—test results and constitutive models[M]. [S.l.]：A. A. Balkema，1995：123-128. " target="_blank">
[20]	YAGIZ S. An investigation on the relationship between rock strength and brittleness[C]// Proceedings of the 59th Geological Congress of Turkey. Ankara，Turkey：MTA General Directory Press，2006：352. " target="_blank">
[25]	STAVROGIN A N，TARASOV B G. Experimental physics and rock mechanics[M]. New York：Taylor and Francis Group，2001：1 342-1 357. " target="_blank">
[31]	SIH G C. Strain-energy-density factor applied to mixed mode crack problems[J]. International Journal of Fracture，1974，10(3)：305-321. " target="_blank">