Calculation of swelling deformation of Gaomiaozi bentonite based 
on fractal dimension measured by synchrotron radiation SAXS 
and liquid nitrogen adsorption

PENG Lei; CHEN Bing

doi:10.16285/j.rsm.2019.1455

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Calculation of swelling deformation of Gaomiaozi bentonite based on fractal dimension measured by synchrotron radiation SAXS and liquid nitrogen adsorption

更新时间：2026-06-25

- Calculation of swelling deformation of Gaomiaozi bentonite based on fractal dimension measured by synchrotron radiation SAXS and liquid nitrogen adsorption
- Vol. 41, Issue 8, Pages: 2712-2721(2020)
- 作者机构：
  
  上海交通大学船舶海洋与建筑工程学院,上海,200240
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2019.1455
  CLC： TU443
- Online First：18 October 2020，
  
  Published：2020
- 稿件说明：
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PENG Lei, CHEN Bing. Calculation of swelling deformation of Gaomiaozi bentonite based on fractal dimension measured by synchrotron radiation SAXS and liquid nitrogen adsorption[J]. 2020, 41(8): 2712-2721.
DOI：

PENG Lei, CHEN Bing. Calculation of swelling deformation of Gaomiaozi bentonite based on fractal dimension measured by synchrotron radiation SAXS and liquid nitrogen adsorption[J]. 2020, 41(8): 2712-2721. DOI： 10.16285/j.rsm.2019.1455.

摘要

针对核废料缓冲回填材料内蒙古高庙子钠基膨润土GMZ01，采用同步辐射小角X射线散射（SAXS）和液氮吸附法，基于双对数曲线求斜率测定了SAXS分形维数，基于FHH（Frenkel-Halsey-Hill）模型计算了液氮吸附分形维数。归纳了膨润土膨胀变形计算模型和所需计算参数。基于膨润土膨胀变形双电层和分形模型，采用SAXS分形维数和液氮吸附分形维数分别计算了膨润土膨胀力参数K值，对比了两种方法所测分形维数的计算膨胀力的迥异。结果表明：同步辐射小角散射（SAXS）和液氮吸附所测分形维数较为接近，分别是2.600和2.636，两者差值较小。在双对数坐标表下散射强度和散射矢量存在良好的线性关系；在孔隙比和膨胀力关系中，两种方法所得预测值小于试验实测值；相同的膨润土密度条件下，由SAXS分维计算膨胀应变预测值大于由液氮吸附测试的分维所预测的值。

Abstract

The fractal dimension is determined based on the slope of the double logarithmic curve using synchrotron radiation small angle X-ray scattering (SAXS) and liquid nitrogen adsorption for sodium-based bentonite in Gaomiaozi

Inner Mongolia

as a backfill material for nuclear waste buffering. Based on the FHH (Frenkel-Halsey-Hill) model

the fractal dimension of liquid nitrogen adsorption was calculated. The calculation of bentonite expansion deformation and the required parameters are summarized. Based on the electric double layer model and fractal model of bentonite expansion deformation

the K value of the expansion force parameter of bentonite was calculated by SAXS fractal dimension and liquid nitrogen adsorption fractal dimension. The difference of the calculated expansion force of the fractal dimension measured by the two methods was compared. The results show that the fractal dimensions measured by SAXS and liquid nitrogen adsorption are close

which are 2.600 and 2.636 respectively

and the difference between the two is small. There is a good linear relationship between scattering intensity and scattering vector in the double logarithmic relationship. In the correlation between void ratio and expansion force

the predicted values obtained by the two methods are smaller than the experimental measured values. Under the same bentonite density

the fractal dimension is calculated by SAXS. The predicted value of the expansion strain is greater than the value predicted by the fractal dimension from the liquid nitrogen adsorption test.

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