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《地球科学与环境学报》[ISSN:1672-6561/CN:61-1423/P]

卷:

第41卷

期数:

2019年第06期

页码:

748-756

栏目:

水资源与环境

出版日期:

2019-11-15

文章信息/Info

Title:

Inherent Size Effect in Sand-box Dispersion Experiments and Scale Effect of Dispersivity

文章编号:

1672-6561(2019)06-0748-09

作者:

宫玥¹; 张敏²; 3*; 任宇⁴; 郭彩娟²; 孙琳²; 3

(1. 中国地震灾害防御中心,北京 100029; 2. 中国地质科学院水文地质环境地质研究所,河北 石家庄 050061; 3. 自然资源部地下水科学与工程重点实验室,河北 石家庄 050061; 4. 中国地质大学(北京)水资源与环境学院,北京 100083)

Author(s):

GONG Yue¹;  ZHANG Min²; 3*;  REN Yu⁴;  GUO Cai-juan²;  SUN Lin²; 3

(1. China Earthquake Disaster Prevention Center, Beijing 100029, China; 2. Institute of Hydrogeology and Environmental Geology, Chinese Academy of Geological Sciences, Shijiazhuang 050061, Hebei, China; 3. Key Laboratory of Groundwater Science and Engineering, Ministry of Natural Resources, Shijiazhuang 050061, Hebei, China; 4. School of Water Resources and Environment, China University of Geosciences, Beijing 100083, China)

关键词:

砂箱;  弥散试验;  弥散度;  尺度效应;  尺寸效应;  孔隙含水层;  野外尺度;  土体

Keywords:

sand-box;  dispersion experiment;  dispersivity;  scale effect;  size effect;  porosity aquifer;  field scale;  soil

分类号:

P641.2; X523

DOI:

-

文献标志码:

A

摘要:

砂箱弥散试验结果的应用受弥散度尺度效应及砂箱尺寸效应限制。为导向性分析砂箱尺寸效应和尺度效应对弥散度影响及二者关系,以中、细砂构建孔隙含水层,采用尺寸为1.0 m(长)×0.4 m(宽)×0.6 m(高)、0.5 m(长)×0.2 m(宽)×0.3 m(高)的大、小尺寸比为2倍的砂箱各两个,开展NaCl示踪砂箱弥散试验,观测分析10、20、30和40 cm等4个尺度的弥散度。结果表明:①小砂箱弥散度大于大砂箱,具体为(4.26±0.94)cm>(1.21±0.30)cm、(5.66±1.42)cm>(1.66±0.42)cm、(4.33±1.32)cm>(1.45±0.50)cm和(3.08±0.11)cm>(2.81±0.03)cm; ②以大砂箱为表征,弥散度尺度效应为0.045 7; ③与大砂箱相比,尺寸效应使小砂箱的弥散度分别增大(2.51±0.39)倍、(2.41±0.50)倍、(1.99±0.57)倍和(0.10±0.05)倍; ④尺寸效应(E_size)和尺度(x)关系为E_size=0.153 2x-7.731 8。综上所述,砂箱尺寸越大,尺寸效应越小; 尺度越大,尺寸效应越不明显。该研究为消除尺寸效应对砂箱试验测定土体弥散度影响,及实现砂箱尺度测得弥散度的野外尺度外推提供参考。

Abstract:

The application of the results of sand-box dispersion experiments is suffered by size effect of sand-box and scale effect of dispersivity. In order to investigate the relationship between size effect of sand-box and scale effect of dispersivity, two sizes of sand-boxes of 1.0 m×0.4 m×0.6 m and 0.5 m×0.2 m×0.3 m were built, and the physical simulated porosity aquifers were constructed with medium and fine sand. Dispersivities in four scales of 10, 20, 30 and 40 cm were obtained using NaCl tracer. The results show that ①dispersivities of the small sand-boxes are(4.26±0.94),(5.66±1.42),(4.33±1.32), and(3.08±0.11)cm respectively, which are greater than the large ones((1.21±0.30),(1.66±0.42),(1.45±0.50)and(2.81±0.03)cm); ②by taking the large sand-box as the standard, the scale effect of dispersivity is 0.045 7; ③compared with large sand-box, dispersivities of the small sand-box increase(2.51±0.39)times,(2.41±0.50)times,(1.99±0.57)times and(0.10±0.05)times by size effect, respectively; ④size effect(E_size)is affected by scale(x), and trend of the relationship is expressed as E_size=0.153 2x-7.731 8. Based on the above findings, it can be concluded that the larger the sand-box size is, the smaller size effect is; with scale increase, the size effect is more and more indistinct. The study could provide a reference method for eliminating the influence of size effects on soil dispersivity measurement in sand-box experiment, and will also help to extrapolate the dispersivity in sand-box scale experiment to field scale.

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备注/Memo

备注/Memo:

收稿日期:2019-06-28; 修回日期:2019-08-06投稿网址:http:∥jese.chd.edu.cn/
基金项目:国家重点研发计划项目(2018YFC1803301); 国家水体污染控制与治理科技重大专项项目(2018ZX07109-001-04); 国家自然科学基金项目(41602261)
作者简介:宫 玥(1982-),女,山东青岛人,工程师,E-mail:gongyue2014@126.com。
*通讯作者:张 敏(1981-),男,山东烟台人,中国地质科学院水文地质环境地质研究所高级工程师,工学博士, E-mail:minzhang205@live.cn。

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更新日期/Last Update: 2019-11-19