(1. College of Harbour，Coastal and Offshore Engineering，Hohai University，Nanjing，Jiangsu 210098，China；
2. Institute of Geotechnical Engineering，Hohai University，Nanjing，Jiangsu 210098，China)
Abstract：The sandstone samples with the degrees of water saturation from 0% to 70% were prepared to measure the permeability and porosity under different confining pressures and seepage pressures using the test system for low-permeability rock. The relationship between the permeability，porosity and stress of sandstone samples at different degrees of water saturation were analyzed. The gas permeability of low-permeability sandstones with the degrees of water saturation lower than 50% decreases with the increase of pore pressure. The gas permeability changes with the pore pressure exponentially. With the increasing of the degree of water saturation，the sensitivity of gas permeability to the change of pore pressure decreases，and the sensitivity of gas permeability to the change of pore pressure increases with the increasing of pore pressure. The absolute permeability and the porosity vary with the confining pressure exponentially. With the increasing of the degree of water saturation，the sensitivity of absolute permeability to the change of confining pressure increases，and to the change of porosity decreases. The sensitivities of absolute permeability and porosity to the change of confining pressure decrease with the increasing of confining pressure. The porosity and the absolute permeability correlates positively. A small reduction of porosity can cause a significant decreasing of the absolute permeability. The relationship between the absolute permeability and porosity obeys the index function. The sensitivity of absolute permeability to the change of porosity increases as the increasing of the degree of water saturation. The sensitivity of absolute permeability to the change of porosity also increases with the increasing of porosity.
巢志明1，王环玲1，徐卫亚2，杨兰兰2，赵 恺1. 不同饱和度砂岩渗透率、孔隙度随应力变化规律研究[J]. 岩石力学与工程学报, 2017, 36(3): 665-680.
CHAO Zhiming1，WANG Huanling1，XU Weiya2，YANG Lanlan2，ZHAO Kai1. Variation of permeability and porosity of sandstones with different degrees of saturation under stresses. , 2017, 36(3): 665-680.
[1] WANG H L，XU W J， MIAO H. Anisotropic permeability evolution model of rock in the process of deformation and failure[J]. Journal of Hydrodynamics：Ser. B，2012，24(1)：25–31.
[2] GHABEZLOO S，SULEM J，SAINT-MARC J. Evaluation of a permeability–porosity relationship in a low-permeability creeping material using a single transient test[J]. International Journal of Rock Mechanics and Mining Sciences，2009，46(4)：761–768.
[3] SKOCZYLAS F，HENRY J. A study of the intrinsic permeability of granite to gas[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1995，32(2)：171–179.
[4] 王环玲，徐卫亚，左 婧，等. 低渗透岩石渗透率与孔隙率演化规律的气渗试验研究[J]. 水利学报，2015，46(2)：208–216.(WANG Huanling，XU Weiya，ZUO Jing，et al. Evolution law of the permeability and porosity for low-permeability[J]. Journal of Hydraulic Engineering Rock Based on Gas Permeability Test，2015，46(2)：208–216.(in Chinese))
[5] WANG H，XU W，ZUO J. Compact rock material gas permeability properties[J]. Physica B：Condensed Matter，2014，449(6)：10–18.
[6] 黄远智，王恩志. 低渗透岩石渗透率对有效应力敏感系数的试验研究[J]. 岩石力学与工程学报，2007，26(2)：410–414.(HUANG Yuanzhi，WANG Enzhi. Experimental study on coefficient of sensitiveness between percolation rate and effective pressure for low permeability rock[J]. Chinese Journal of Rock Mechanics and Engineering，2007，26(2)：410–414.(in Chinese))
[7] WORTHINGTON P F. A diagnostic approach to quantifying the stress sensitivity of permeability[J]. Journal of Petroleum Science and Engineering，2008，61(2)：49–57.
[8] DOU X，LIAO X，ZHAO X，et al. Quantification of permeability stress-sensitivity in tight gas reservoir based on straight-line analysis[J]. Journal of Natural Gas Science and Engineering，2015，22(9)：598–608.
[9] 肖文联，李 闽，赵金洲，等. 低渗致密砂岩渗透率应力敏感性试验研究[J]. 岩土力学，2010，31(3)：775–779.( XIAO Wenlian，LI Min，ZHAO Jinzhou，et al. Laboratory study of stress sensitivity to permeability in tight sandstone[J]. Rock and Soil Mechanics，2010，31(3)：775–779.(in Chinese))
[10] 贾朝军，王环玲，徐卫亚，等. 地下水封洞库围岩气体渗透特性及滑脱效应研究[J]. 工程力学，2015，32(8)：50–57.(JIA Chaojun，WANG Huanling，XU Weiya，et al. Study on gas permeation and slippage effects in rock mass of underground water sealed cave[J]. Engineering Mechanics，2015，32(8)：50–57.(in Chinese))
[11] ZHENG J，ZHENG L，LIU H H，et al. Relationships between permeability，porosity and effective stress for low-permeability sedimentary rock[J]. International Journal of Rock Mechanics and Mining Sciences，2015，78(6)：304–318.
[12] TAN X H，LI X P，LIU J Y，et al. Study of the effects of stress sensitivity on the permeability and porosity of fractal porous media[J]. Physics Letters A，2015，379(39)：2 458–2 465.
[13] 李传亮. 岩石应力敏感指数与压缩系数之间的关系式[J]. 岩性油气藏，2007，19(4)：95–98.(LI Chuanliang. A theoretical for mula of stress sensitivity index with compressibility of rock[J]. Lithologic Reservoirs，2007，19(4)：95–98.(in Chinese))
[14] 代 平，孙良田，李 闽. 低渗透砂岩储层孔隙度，渗透率与有效应力关系研究[J]. 天然气工业，2006，26(5)：93–95.(DAI Ping，SUN Liangtian，LI Min. Study on relation between permeability and effective stress of sand reservoir with low permeability[J]. NAturalgas Industry，2006，26(5)：93–95.(in Chinese))
[15] 孔 茜，王环玲，徐卫亚. 循环加卸载作用下砂岩孔隙度与渗透率演化规律试验研究[J]. 岩土工程学报，2015，37(10)：1 893–1 900. (KONG Qian，WANG Huangling，XU Weiya. Experimental investigation on relationship between porosity and permeability of sandstone under cyclic loading condition[J]. Chinese Journal of Geotechnical Engineering，2015，37(10)：1 893–1 900.(in Chinese))
[16] 游利军，康毅力，陈一健，等. 含水饱和度和有效应力对致密砂岩有效渗透率的影响[J]. 天然气工业，2004，24(12)：105–107.(YOU Lijun，KANG Yili，CHEN Yijian，et al. Influence of water saturation and effective stress on effective permeability of tight sands[J]. Natural Gas Industry，2004，24(12)：105–107.(in Chinese))
[17] 郭天民. 多元气—液平衡与精馏[M]. 北京：化学工业出版社，1983：61–70.(GUO Tianmin. Many feet-liquid equilibrium and distillation[M]. Beijing：Chemical Industry Press，1983：61–70.(in Chinese))
[18] WANG H L，XU W Y，ZHU F. The mechanical response of piles with consideration of pile-soil interactions under a periodic wave pressure[J]. Journal of Hydrodynamics，2014，(6)：921–929.
[19] 王环玲，徐卫亚. 致密岩石渗透测试与渗流力学特性[M]. 北京：科学出版社，2014：21–31.(WANG Huangling，XU Weiya. Dense rock penetration test and seepage mechanics properties[M]. Beijing：Science Press，2014：21–31.(in Chinese))
[20] 田 华，张水昌，柳少波，等. 致密储层孔隙度测定参数优化[J]. 石油实验地质，2012，34(3)：334–339.(TIAN Hua，ZHANG Shuichang，LIU Shaobo，et al. Parameter optimization of tight reservoir porosity determination[J]. Petroleum Geology and Experiment，2012，34(3)：334–339.(in Chinese))
[21] 孔祥言. 高等渗流力学[M]. 合肥：中国科学技术大学出版社，1999：102–110.(KONG Xiangyan. Higher seepage mechanics[M]. Hefei：Press of University of Science and Technology of China，1999：102–110.(in Chinese))
[22] 肖晓春，潘一山，于丽艳. 水饱和度作用下低渗透气藏滑脱效应实验研究[J]. 水资源与水工程学报，2010，21(5)：15–19.(XIAO Xiaochun，PAN Yishan，YU Liyan. Experiment of slippage effect under water saturation in hypotonic coalbed[J]. Journal of Water Resources and Water Engineering，2010，21(5)：15–19.(in Chinese))
[23] DAVID C，WONG T F，ZHU W，et al. Laboratory measurement of ed implications for the generation and maintenance of pore pressure excess in the crust[J]. Pure and Applied Geophysics，1994，143(1)：425–456.
[24] 曹树刚，郭 平，李 勇，等. 瓦斯压力对原煤渗透特性的影响[J]. 煤炭学报，2010，35(4)：595–599.(CAO Shugang，GUO Ping，LI Yong，et al. Effect of gas pressure on gas seepage of outburst coal[J]. Journal of China Coal Society，2010，35(4)：595–599.(in Chinese))
[25] 赵阳升，胡耀青，杨 栋，等. 三维应力下吸附作用对煤岩体气体渗流规律影响的实验研究[J]. 岩石力学与工程学报，1999，18(6)：651–653.(ZHAO Yangsheng，HU Yaoqing，YANG Dong，et al. The experimental study on the gas seepage law of rock related to adsorption under 3d stress[J]. Chinese Journal of Rock Mechanics and Engineering，1999，18(6)：651–653.(in Chinese))
[26] 彭守建，许 江，陶云奇，等. 煤样渗透率对有效应力敏感性实验分析[J]. 重庆大学学报：自然科学版，2009，32(3)：303–307.(PENG Shoujian，XU Jiang，TAO Yunqi，et al. Coefficient of sensitiveness between permeability and effective pressure of coal samples[J]. Journal of Chongqing University：Natural Science，2009，32(3)：303–307.(in Chinese))
[27] KLINKENBERG L. The permeability of porous media to liquids and gases[C]// Drilling and Production Practice. [S. l. ]：[s. n.]，1941.
[28] JONES F O，OWENS W. A laboratory study of low-permeability gas sands[J]. Journal of Petroleum Technology，1980，32(9)：1 631–1 640.
[29] FATHI E，TINNI A，AKKUTU I Y. Correction to Klinkenberg slip theory for gas flow in nano-capillaries[J]. International Journal of Coal Geology，2012，103(1)：51–59.
[30] MOGHADA A A，CHALATURNYK R. Expansion of the Klinkenberg?s slippage equation to low permeability porous media[J]. International Journal of Coal Geology，2014，123(7)：2–9.
[31] 任晓娟. 低渗砂岩储层孔隙结构与流体微观渗流特征研究[博士学位论文][D]. 西安：西北大学，2006.(REN Xiaojuan. Pore structure of low permeability sand rock and fluid flowing characteristics[Ph. D. Thesis][D]. Xi?an：Northwest University，2006.(in Chinese))
[32] 王 欣. 致密岩石渗透特性的气渗试验研究[硕士学位论文][D]. 南京：河海大学，2013.(WANG Xin. Dense rock permeability characteristics of air infiltration experiment research[M. S. Thesis][D]. Nanjing：Hohai University，2013.(in Chinese))
[33] 高书香. 基于应力关系的岩石压缩系数变化分析[J]. 承德石油高等专科学校学报，2013，15(2)：24–29.(GAO Shuxiang. Based on the relationship between the stress analysis of the rock compressibility change[J]. Chengde Petroleum College Journals，2013，15(2)：24–29.(in Chinese))
[34] 林柏泉，周世宁. 煤样瓦斯渗透率的实验研究[J]. 中国矿业大学学报，1987，16(1)：21–28.(LIN Baiquan，ZHOU Shining. The gas permeability of coal sample experimental research[J]. Journal of China University of Mining and Technology，1987，16(1)：21–28.(in Chinese))
[35] 孔 茜. 低渗透砂岩气体渗透特性与力学特性的试验研究.[硕士学位论文][D]. 南京：河海大学，2015.(KONG Qian. Experimental research on gas permeability properties and mechanical properties of compact sandstone[M. S. Thesis][D]. Nanjing：Hohai University，2015.(in Chinese))
[36] 左 婧. 低渗透岩石气体渗流特性及气渗滑脱效应的试验研究.[硕士学位论文][D]. 南京：河海大学，2014.(ZUO Jing. Experimental research on gas permeability properties and klinkenberg effect of compact rock[M. S. Thesis][D]. Nanjing：Hohai University，2014. (in Chinese))
2017, Vol. 36 
