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基于双电层模型冻土中未冻水含量理论推演及应用
引用本文:靳潇,杨文,孟宪红,雷乐乐.基于双电层模型冻土中未冻水含量理论推演及应用[J].岩土力学,2019,40(4):1449-1456.
作者姓名:靳潇  杨文  孟宪红  雷乐乐
作者单位:1. 中国科学院西北生态环境资源研究院 寒区旱区陆面过程与气候变化重点实验室,甘肃 兰州 730000;2. 中国科学院大学,北京 100049; 3. 中国科学院西北生态环境资源研究院 冻土工程国家重点实验室,甘肃 兰州 730000
基金项目:国家自然科学基金项目(No. 41475018,No. 41375015,No. 91437102)
摘    要:根据冻土中未冻水成因的本质——带负电黏土颗粒表面的扩散层中阳离子溶液特殊分布,依据基于静电场泊松方程与静电荷玻尔兹曼分布的双电层理论,推演出了未冻水含量理论公式,比较分析未冻水含量观测值拟合的经验公式,发现两者形式非常一致,经验公式实质为理论公式的简化。依据此理论,清晰地描述了冻土颗粒表面未冻水的结构特征及成因,定量分析了土壤类型、含盐度、温度对未冻水含量的影响;得出当土壤盐溶液浓度小于某一阈值时,盐渍度变化对未冻水含量的影响可以忽略,即不同类型常规(低含盐度)冻土,双电层结构几近相同,指数形式公式适用于所有常规冻土的未冻水含量;土壤类型通过比表面积影响着未冻水含量,在同等温度下,土壤中黏土颗粒越多,比表面积越大,未冻水含量越多;结合实测资料给出适用于不同类型冻土未冻水含量理论计算的参数值,随后通过两种已有的经验公式对计算结果进行了验证,证实了该理论公式的可行性。

关 键 词:未冻水含量  玻尔兹曼分布  双电层理论  比表面积  
收稿时间:2017-12-08

Deduction and application of unfrozen water content in soil based on electrical double-layer theory
JIN Xiao,YANG Wen,MENG Xian-Hong,LEI Le-Le.Deduction and application of unfrozen water content in soil based on electrical double-layer theory[J].Rock and Soil Mechanics,2019,40(4):1449-1456.
Authors:JIN Xiao  YANG Wen  MENG Xian-Hong  LEI Le-Le
Institution:1. Key Laboratory of Land Process and Climate Change in Cold Arid Regions, Northwest Institute of Eco-Environmental Resources, Chinese Academy of Sciences, Lanzhou, Gansu 730000, China; 2. University of Chinese Academy of Sciences, Beijing 100049, China; 3. State Key Laboratory of Frozen Soil Engineering, Northwest Institute of Eco-Environmental Resources, Chinese Academy of Sciences, Lanzhou, Gansu 730000, China
Abstract:According to the fact that of some water in soil cannot be frozen due to distribution of cationic diffusion layer on the surface of negatively charged clay particles, the theoretical formula of unfrozen water content is obtained by electrical double-layer theory based on Poisson equation of electrostatic field and static charge Boltzmann distribution. the empirical formula of classical unfrozen water content is almost identical to the proposed model. This paper describes the structure and causes of unfrozen water on the surface of soil particles, and quantitatively analyzes the effect of soil type, salinity and temperature on unfrozen water content. When the soil salt concentration is less than a threshold value, changes in salinity negligibly influence the unfrozen water content. This indicated different types of frozen soil texture (low salinity) have analogous structure of electric double layer. the empirical formula of exponential form can describe all unfrozen water content of low salinity frozen soil. The unfrozen water content is dependent on soil types, specific surface area. More clay particles in soil and larger specific surface area resulted in more unfrozen water content. Two existing empirical formulas have been used to verify the theoretical formula. Results prove that the theoretical formula for calculating unfrozen water content in frozen soil is reliable.
Keywords:unfrozen water content  Boltzmann distribution  electrical double-layer theory  specific surface area  
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