Study on Temperature Field Distribution Law of Freezing Wall for Inclined Shaft

Abstract：Based on the freezing wall formation and development process under the conditions of the vertical straight freezing in water con- tent quicksand formation, a rational simplification was conducted on the time and space distribution condition of the temperature field. According to the single pipe heat conduction equation and the superposition principle, the calculation formula for the temperature distribution of the vertical straight three pipe freezing wall was derived. The calculation formula was promoted to the temperature distribution of the single row and multi row freezing wall. The temperature value of any region in the freezing wall at different freezing front location and the average temperature of the whole freezing wall could be calculated and thus the freezing wall temperature and the strength variations could be analyzed. The calculation results showed that the main face temperature value and the central distance of the freezing pipe was in a linear relationship, the axial face temperature field was in a down concave parabolic distribution and the top point was the cross point of the axial face and main face. The calculation results could judge that the soil strength at the inner boundary location was weak and developed slowly and could be the key region to prevent soften and failure of the freezing wall. The theoretical calculation results and the site measured data at the related location could be well fitted.