酸性环境下,溶液中的离子在浓度差的作用下向砂岩内部扩散、传输,并与其组分发生化学反应。基于非稳态扩散理论,推导出砂岩受酸腐蚀溶质运移过程的反应-扩散控制方程,得出其解析解,编制相应的MatLab计算程序,并用室内砂岩的酸腐蚀试验结果进行初步验证。建立砂岩单轴抗压强度与酸性溶液浓度时空分布关系,可为量化分析酸性污染物对水利工程的影响提供分析方法与手段。
Abstract
Due to concentration difference, the ions in acidic solution diffuse and transport into sandstone, and chemically react with the components of the sandstone samples. On the basis of the unsteady diffusion theory, the reaction-diffusion equation for the solute transport process of acid-corroded sandstone is derived and the analytical solution is obtained. The corresponding MatLab program is compiled and preliminarily verified by indoor tests. The temporal and spatial distribution relationship between the uniaxial compressive strength of the acid-corroded sandstone and the concentration of the soaking solution is established, which provides an analytical method for the quantifying the influence of acid pollutants on water conservancy projects.
关键词
砂岩 /
溶质运移 /
酸性环境 /
数学模型 /
解析解 /
数值解
Key words
sandstone /
solute transport /
acidic environment /
mathematical model /
analytical solution /
numerical solution
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基金
中国博士后科学基金项目(2020M673525);中铁二十局集团有限公司2020年度科技研发项目(YF2000SD01A);国家自然科学基金项目(41172237)
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