三维热导方程求解的波数域方法(MWN3D)及模型实验研究  

Method of wave-number in three dimensions(MWN3D) for thermal conductive equation and its test of numerical models

作　　者：傅容珊[1,2] 刘峡[1,2] 黄建华[1,2] 

机构地区：[1]中国科学院壳幔物质与环境重点实验室 [2]中国科学技术大学地球和空间科学学院,合肥230026

出　　处：《地球物理学报》2007年第2期509-516,共8页Chinese Journal of Geophysics

基　　金：国家自然科学基金(40574043);中国科学院创新项目(KZCX3-SW-131)资助

摘　　要：给出了三维热导方程波数域的基本解和算法(MWN3D),并通过数值模型的方式验证、讨论了这一方法的可靠性和适应能力.模型实验表明这一方法具有计算速度快,处理问题灵活的特点.模拟实验还显示,只有在横向较为均匀的三维构造条件下才能用一维模型替代三维模型.事实上,由于在地壳和上地幔中物质的横向变化不可忽略,通过本方法构建一个真三维的热结构模型是必要的.A basic method of wave-number in three dimensions（MWN3D） is employed to solve the thermal conductive equation in this paper. Meantime, we take some numerical experiments to discuss the reliability and adaptability of this method. Numerical experiments show that this method （MWN3D） has a characteristic of high computing speed and flexibility. Numerical experiments also show that the condition of using one dimensional model instead of three dimensional model is that the heterogeneity of medium must be small. In fact, the heterogeneity in the crust and mantle is very obvious. So in order to deal with a real thermal conductive problem in the lithosphere to build a three dimensional model is necessary.

关 键 词：热传导 波数域 热结构 数值模型 

分 类 号：P541[天文地球—构造地质学] P314[天文地球—地质学]