融湖下冻土底部热状况分析

An Analysis of Thermal Regime of the Bottom of Permafrost Under a Thaw Lake

利用热平衡积分法求出了一类伴有相变的一维热传导方程在具有稳定地中热源条件下的融化深度X_(pb)与所用的时间t的关系,并根据Alaska北极Barrow地区的冻土与融湖资料,摄动深度δ与X_(pb)的比,ξ为25,进而用所得解求得了融湖下底部冻土融化深度随时间变化的曲线。

The relationship between melting depth Xpb and melting time t for a class of one dimension heat conduction equation with phase change is derived by heat balance integral method under the condition that a steady heat source exists. Based on the observed data about permafrost and thaw lakes at Barrow in the Alaskan Arctic, with perturbation depth 6 divided by Xpb, ξ is 25, and the curve between the thaw depth of the bottom of permafrost under a thaw lake and the thaw time is obtained by using the obtained approximate analytical solution.