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

DING Fan; HUO Run-ke; LI Shu-guang; QIU Tian; QIAN Mei-ting; HAN Fei

doi:10.11988/ckyyb.20190791

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

ROCK-SOIL ENGINEERING

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

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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

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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 Changjiang River Scientific Research Institute. 2020, 37(11): 89-95 https://doi.org/10.11988/ckyyb.20190791

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