|Table of Contents|

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

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

Issue:
2019年第06期
Page:
748-756
Research Field:
水资源与环境
Publishing date:

Info

Title:
Inherent Size Effect in Sand-box Dispersion Experiments and Scale Effect of Dispersivity
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)
Keywords:
sand-box;  dispersion experiment;  dispersivity;  scale effect;  size effect;  porosity aquifer;  field scale;  soil
PACS:
P641.2; X523
DOI:
-
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(Esize)is affected by scale(x), and trend of the relationship is expressed as Esize=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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Last Update: 2019-11-19