During vertical jet grouting

the nozzle injects a large amount of fluid (cement slurry or water) into the surrounding soil

which leads to significant lateral ground displacements. Based on the analysis of the installation of a vertical jet grouting column

assuming that the lateral ground displacement caused by jet grouting is equal to that induced by cylindrical cavity expansion in infinite soil mass

a simplified calculation method of lateral displacement of subsoils caused by installing a vertical jet grouting column is proposed. With the analysis of the effect of installing the vertical jet grouting column on soil stress

a formula for calculating the soil stress at the elasto-plastic interface after construction is deduced. Taking installation of vertical jet grouting column with unit length as the research object and considering operational parameters and soil parameters

a formula of cylindrical cavity radius (key parameter for determining lateral displacements) is proposed based on the dimensionless principle. This method is applied to the engineering case of vertical jet grouting

and the comparison of prediction results and the observed data proves the reasonability of this method. By calculating with this method

the influence range of installing the vertical jet grouting column is approximately 7.5 times of the column diameter.