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青藏高原不同半径热融湖下融区发展差异的非线性分析
引用本文:令锋,吴青柏. 青藏高原不同半径热融湖下融区发展差异的非线性分析[J]. 数学的实践与认识, 2014, 0(21)
作者姓名:令锋  吴青柏
作者单位:肇庆学院数学与统计学院;中国科学院寒区旱区环境与工程研究所冻土工程国家重点实验室;
基金项目:国家自然科学基金项目“青藏高原热融湖对冻土热状况长期作用的数值模拟研究”(41271076);国家重点基础研究发展计划项目“冻土对气候变化响应机理及其碳循环过程”(2010CB951402)
摘    要:
以青藏高原北麓河地区的气象资料、热融湖信息和冻土监测数据为基础,以柱坐标系下伴有相变的热传导方程为模型,在假设不同半径热融湖湖底温度和湖水深度相同条件下,模拟了不同半径热融湖对湖下多年冻土热状况和融区发展长期影响的差异.计算结果表明,不同半径热融湖湖下土壤热状况和融区发展都有较大差异,精确模拟热融湖下土壤热状况和融区发展的数学模型必须考虑热融滑塌引起的热融湖横向扩展作用.

关 键 词:青藏高原  热融湖  多年冻土  融区  非线性分析

Nonlinear Analysis of Talik Development Differences under Thaw Lakes with Different Radiuses on Qinghai-Tibet Plateau
Abstract:
On the basis of the meteorological data,thaw lake information,and the observed permafrost data from a monitoring project in the Beiluhe Basin on the Qinghai-Tibet Plateau,this study analyzes the differences of the long-term influence of thaw lake on ground thermal regime and talik development under thaw lakes with different lake radiuses,by using a heat transfer model with phase change under a cylindrical coordinate system.The lake bottom temperature and the lake water depth are assumed to be identical for lakes with different radiuses.The simulated results indicate that the considerable differences exist in both ground thermal regime and talik development under thaw lakes with different radiuses.An accurate mathematical model for ground thermal regime and talik development under a thaw lake should include the impact of horizontal expansion of the thaw lake caused by thaw slumping.
Keywords:Qinghai-Tibet Plateau  thaw lake  permafrost  talik  nonlinear analysis
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