酸性环境下砂岩溶质运移的数学模型及其解析解  

Mathematical Model and Analytical Solution of Solute Transport in Sandstone under Acidic Environment

作　　者：丁凡 霍润科[1,2] 李曙光[1,2,3,4] 秋添[1,2] 钱美婷 韩飞 DING Fan;HUO Run-ke;LI Shu-guang;QIU Tian;QIAN Mei-ting;HAN Fei(School of Civil Engineering, Xi’an University of Architecture and Technology, Xi’an 710055, China;Shaanxi Key Lab of Geotechnical and Underground Space Engineering, Xi’an University of Architecture and Technology, Xi’an 710055, China;Post-doctoral Research Workstation, China Railway 20th Bureau Group Co., Ltd., Xi’an 710016, China;R & D Center of Plateau Tunnel Construction Technology and Equipment, China Railway 20th Bureau Group Co., Ltd., Xi’an 710016, China)

机构地区：[1]西安建筑科技大学土木工程学院,西安710055 [2]西安建筑科技大学陕西省岩土与地下空间工程重点实验室,西安710055 [3]中铁二十局集团有限公司博士后科研工作站,西安710016 [4]中铁二十局集团有限公司高原隧道施工技术及装备研发中心,西安710016

出　　处：《长江科学院院报》2020年第11期89-95,共7页Journal of Changjiang River Scientific Research Institute

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)。

摘　　要：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。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 

分 类 号：TU45[建筑科学—岩土工程]