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冰川冻土 ›› 2002, Vol. 24 ›› Issue (3): 299-303.doi: 10.7522/j.issn.1000-0240.2002.0056

• 研究论文 • 上一篇    下一篇

冻土温度场的参数辨识

冯恩民1, 王金芝2, 李洪升1   

  1. 1. 大连理工大学, 数学系, 辽宁, 大连, 116023;
    2. 大连民族学院, 基础部, 辽宁, 大连, 116600
  • 收稿日期:2001-09-18 修回日期:2002-02-06 出版日期:2002-06-25 发布日期:2012-04-26
  • 基金资助:
    国家自然科学基金项目(59578039)

Parameters Identification about Frozen Soil Temperature Field

FENG En-min1, WANG Jin-zhi2, Li Hong-sheng 1   

  1. 1. Mathematics Department of Dalian University of Technology, Dalian Liaoning 116023, China;
    2. Dalian University for National Minorities, Dalian Liaoning 116600, China
  • Received:2001-09-18 Revised:2002-02-06 Online:2002-06-25 Published:2012-04-26

摘要: 从冻土温度场的实际背景、物理现实及温度场的数值计算现状出发,阐述了参数辨识的重要性和必要性.以冬季开放的渠道为例,在原有温度场的基础上,利用参数之间的关系,给出了耦合温度场的数学模型.在此基础上首次建立方程中一些参数的分布控制模型,应用这些参量的连续性与变化的缓慢性,将问题分解,把在无穷维空间的辨识转化为有限维空间的辨识.论述了各子系统的解与参量的关系及优化辨识问题最优解的存在性,即可辨识性.

关键词: 冻土, 冻胀, 温度场, 参数辨识

Abstract: In this paper, the necessity and essentiality of parameter identification of frozen soil temperature field are explained first, based on the practical background, physical property and numerical computation need. Taking a deep ditch in winter as an example, a mathematical model of coupled temperature field is presented, then the distributed control model is given for some parameters in the temperature field equation. Since these parameters are continuous and change slowly, the identificaiton problem in infinete dimension space can be decomposed into several identification sub problems in finete dimension space. We also discuss the relationship of identification parameters and system solution of sub problems. At last the existence of optimal identification is proved.

Key words: frozen soil, frost heave, temperature field, parameter identification

中图分类号: 

  • P642.14