In this paper, we study the character of solute transport in in-situ leaching of uranium in some sandstone uranium deposit in Xinjiang and analyze the effect of convection, molecular diffusion, mechanical dispersion, adsorption, chemical reaction and radioactive decay on migration and distribution of solute in sandstone uranium deposit. The process of in-situ leaching of uranium in sandstone uranium deposit and shrinkage model of leaching core is divided into 3 interfaces, basic equation of solute transport of in-situ leaching of uranium in homogeneous isotropic sandstone uranium deposit is de...