Methods for installing soil and sand stabilization columns using a chemical polymer are provided. The chemical polymer can be a liquid acrylic base chemical polymer or a liquid vinyl acetate base chemical polymer. In the methods, a dilution rate of a chemical polymer is determined based on at least one of: a moisture content of the soil at a selected soil location, a particle size distribution of the soil at the selected soil location, a shear strength of the soil at the selected soil location, a target strength of the soil stabilization column, and a target stiffness of the soil stabilization column. The chemical polymer is then diluted based on the determined dilution rate. The diluted chemical polymer is inserted into a selected soil location and mixed with in-situ soil or with sand to form a stabilization column.