求解融湖下冻土热状况的热平衡积分法

An Approximate Solution to Thermal Regime of Permafrost Under a Thaw Lake Using Heat Balance Integral Method

以热平衡积分法为工具,求出了一类伴有相变的一维热传导方程在具有稳定热源条件下的近似解析解,并根据Alaska北极Barrow地区的冻土与融湖资料,用所得解析解求得了3 000年内融湖下冻土融化深度与时间的关系.

The approximate analytical solution,with a basic tool of the heat balance integral method, to a class of one dimension heat conduction equation with phase change is found out 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,the relation between the thaw depth of permafrost under a thaw lake and time for a period of 3000 years is obtained by using the obtained approximate analytical solution.