Relationship of Porosity and Volume Compression Coefficient of Solid Skeleton and Water in Artesian Well Aquifer
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摘要: 孔隙度和岩石压缩系数等方面的研究在评价油藏弹性产能和动态地质储量方面有重要的应用价值.结合国家地震前兆台网中心数据库8口井的数字化水位资料等, 研究了承压井含水层介质在不排水状态下的孔隙度、固体骨架的体积压缩系数和含水层内水的体积压缩系数.结果表明, 孔隙度与固体骨架的体积压缩系数和含水层内水的体积压缩系数间存在幂函数关系.在第1象限内, 各井含水层介质固体骨架的体积压缩系数随着孔隙度的增大而增大; 含水层内水的体积压缩系数随着孔隙度的增大而减小.固体骨架和含水层内水的体积压缩系数间满足一元二次多项式关系, 且含水层内水的体积压缩系数要比固体骨架的体积压缩系数大, 水更易压缩.另外, 灰岩骨架的压缩系数相对小于砂岩骨架的压缩系数.Abstract: The study of porosity and rock compressibility etc has important application value in the evaluation of the elastic capacity and dynamic geological reserves of the reservoir. Water level digital data of 8 wells provided by the National Earthquake Precursor Network Center are studied to explore the relationship of porosity and volume compression coefficient between solid skeleton and water in artesian well aquifer medium under undrained condition. The results show that there exists a power function relation between the porosity and the solid skeleton volume compression coefficient and water volume compression coefficient in the aquifer. In the first quadrant, each well aquifer solid skeleton volume compression coefficient increases with increasing porosity, whereas the volume compression coefficient of water decreases with the increase of porosity, with one of two quadratic polynomial relationships between the solid skeleton and water volume compression coefficient in the aquifer. The volume compression coefficient of water in the aquifer is larger than that of the solid skeleton, and water is more easily compressed. In addition, the compression coefficient of limestone skeleton is relatively smaller than that of sandstone.
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图 3 各井孔隙度(n)和固体骨架的体积压缩系数(cs)间的关系
Fig. 3. Relationship between porosity (n) and solid skeleton volume compression coefficient (cs) of the wells
图 4 各井孔隙度(n)和水的体积压缩系数(cw)间的关系
Fig. 4. Relationship between porosity (n) and water volume compression coefficient (cw) of the wells
图 5 8口水井体积压缩系数(cs与cw)间关系曲线
Fig. 5. Relationship curves of volume compression coefficient (cs and cw) of the 8 wells
表 1 开展研究的8口井基本情况
Table 1. General information of the 8 wells studied
序号 井点名称 井深(m) 含水层岩性 地下水类型 水位埋深(m) 海拔高度(m) 资料处理起始时间(年-月) 1 宝坻井 427.17 灰岩 承压水 14.0 5.0 2005-04 2 王3井 1077.00 灰岩和白云岩 岩溶自流 0.0 3.5 2002-01 3 板桥井 283.60 硅质石灰岩 裂隙承压水 39.6 41.0 2008-01 4 昌平井 221.60 白云质灰岩 裂隙承压水 68.2 100.0 2002-01 5 大灰厂井 102.00 砂页岩 孔隙裂隙混合水 14.5 147.0 2008-01 6 宁河井 60.00 砂岩和粘土为主 承压水 52.6 2.5 2002-01 7 辛庄井 648.12 砂质粘土及砂土 承压水 102.2 2.0 2008-01 8 玉田井 456.40 奥陶系灰岩 裂隙承压水 7.5 80.0 2002-01 
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表 2 不排水状态下8口井孔隙度和体积压缩系数的拟合结果
Table 2. Undrained condition fitting results of porosity and volume compression coefficient of 8 wells
序号 井点名称 孔隙度n和固体骨架的体积压缩系数cs间的关系 孔隙度n和水的体积压缩系数cw间的关系 拟合方程 R2 标准差 拟合方程 R2 标准差 1 宝坻井 cs=0.5756(1-n)-1.8550 0.3505 104.600 cw=0.000141n-4.5610 0.6504 426.90 2 王3井 cs=4.5950(1-n)-0.7749 0.9472 4.795 cw=0.90601n-1.5590 0.5806 59.46 3 板桥井 cs=1.8390(1-n)-1.1870 0.3811 64.050 cw=0.0403n-2.5520 0.8204 51.37 4 昌平井 cs=0.1222(1-n)-2.0950 0.7558 63.250 cw=1.6320×10-9n-7.0410 0.9111 559.40 5 大灰厂井 cs=4.9300(1-n)-1.3450 0.7006 370.500 cw=1.6390×10-4n-4.1090 0.7225 1707.00 6 宁河井 cs=24.3800(1-n)-1.0320 0.6771 310.900 cw=2.3730n-2.1740 0.8669 1858.00 7 辛庄井 cs=59.8900(1-n)-0.6942 0.4510 228.400 cw=2.6030n-1.9750 0.7023 1240.00 8 玉田井 cs=6.0370(1-n)-0.9782 0.6709 18.720 cw=3.9830×10-8n-7.2260 0.8267 129.70
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表 3 8口水井体积压缩系数(cs与cw)间关系统计
Table 3. Statistics of the 8 wells volume compression coefficient (cs and cw)
序号 井点名称 拟合方程 R2 标准差 1 宝坻井 cw=0.005598cs2-2.778cs-507.60 0.7778 304.20 2 王3井 cw=0.057550cs2-2.184cs+48.70 0.8594 22.84 3 板桥井 cw=0.048880cs2-2.746cs+53.62 0.9374 24.50 4 昌平井 cw=0.010890cs2+2.364cs-66.88 0.9340 484.00 5 大灰厂井 cw=0.003094cs2-0.01124cs-316.20 0.7337 1686.00 6 宁河井 cw=0.002626cs2+4.265cs-888.80 0.6229 3132.00 7 辛庄井 cw=0.001572cs2+5.242cs-1286 0.4405 1404.00 8 玉田井 cw=0.020100cs2+3.308cs-71.85 0.9439 72.70
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