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

doi:10.11988/ckyyb.20190791

Journal of Yangtze River Scientific Research Institute ›› 2020, Vol. 37 ›› Issue (11): 89-95.DOI: 10.11988/ckyyb.20190791

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

DING Fan^1,2, HUO Run-ke^1,2, LI Shu-guang^1,2,3,4, QIU Tian^1,2, QIAN Mei-ting^1,2, HAN Fei^1,2

1. School of Civil Engineering, Xi'an University of Architecture and Technology, Xi'an 710055, China;
2. Shaanxi Key Lab of Geotechnical and Underground Space Engineering, Xi'an University of Architectureand Technology, Xi'an 710055, China;
3. Post-doctoral Research Workstation, China Railway 20thBureau Group Co., Ltd., Xi'an 710016, China;
4. R & D Center of Plateau Tunnel ConstructionTechnology and Equipment, China Railway 20th Bureau Group Co., Ltd., Xi'an 710016, China

Received:2019-07-09 Revised:2019-07-21 Online:2020-11-01 Published:2020-12-02

Abstract

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.

Key words: sandstone, solute transport, acidic environment, mathematical model, analytical solution, numerical solution

CLC Number:

TU45

DING Fan, HUO Run-ke, LI Shu-guang, QIU Tian, QIAN Mei-ting, HAN Fei. Mathematical Model and Analytical Solution of Solute Transport in Sandstone under Acidic Environment[J]. Journal of Yangtze River Scientific Research Institute, 2020, 37(11): 89-95.

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

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