Abstract:Due to the superposition of convection heat transfer of water flow and heat conduction of freezing pipes, the shape of the artificial frozen wall was obviously asymmetrical under the action of the seepage field. To solve the difficulty in the calculation of the freezing temperature field caused by the irregular shape of a frozen wall under the action of a seepage field, the freezing temperature field of three pipes arranged in a straight line was taken as the research object, the shape of the freezing front was simplified by the method of subsection equivalence. The analytical solution of steady-state temperature field of asymmetric frozen wall induced by directional seepage, the calculation formulas of thickness and average temperature of the frozen wall were derived based on the solution theory of steady-state temperature field. To verify the rationality of the formulas, the evolution law of the freezing temperature field of three pipes under the action of the seepage field was experimentally studied by using the self-constructed hydrothermal coupling physical model test system. The following conclusions were drawn from the research: the calculation results of freezing temperature on the key axis agreed well with the experimental results, the rationality of the analytical solution was verified by the model test; the closure time and asymmetry coefficient of the frozen wall were increased sharply with the increase of flow velocity under the action of the seepage field. When there was seepage in the formation, the temperature change process of the frozen wall was complicated, however, there was still a law that the average temperature decreased with the increase of thickness of the frozen wall. The formulas obtained in this paper could achieve an accurate mathematical description of the artificial freezing temperature field under the action of the seepage field, and it would provide a reference for the calculation of the artificial freezing temperature field of high-velocity permeation formation.