Heat flow in the presence of topography: Numerical analysis of data ensembles

Heat flow in the presence of topography: Numerical analysis of data ensembles
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存在地形的热流:数据集合的数值分析

DOI:
10.1190/1.1442004
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发表时间:
1985
期刊:
影响因子:
3.3
通讯作者:
H. Pollack
H. Pollack
中科院分区:
地球科学2区
文献类型:
--
作者:
S. Henry;H. Pollack

文献摘要

被引文献

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我们提出了一种方法,估计地下温度和真正的区域热流的存在扰动地形,可变的表面温度和地下热导率对比。该方法涉及通过有限差分数值技术求解稳态三维热传导方程。地形是由一个不规则的上边界和可变的表面温度作为边界条件沿着不规则的上表面。内部结构配置和导电性对比很容易适应。输入系统的主要变量是深基底(未扰动)热流。热流的最佳值是通过在最小二乘意义上最小化观测温度和计算温度之间的差异来获得的。温度观测通常不规则地分布在近地表(扰动)环境中,在多个垂直或倾斜钻孔、隧道和/或矿井巷道中。该方法特别…
We present a method of estimating subsurface temperatures and true regional heat flow in the presence of perturbing topography, variable surface temperature, and subsurface thermal conductivity contrasts. The method involves solution of the steady‐state three‐dimensional heat conduction equation by finite‐difference numerical techniques. The topography is represented by an irregular upper boundary and the variable surface temperature as a boundary condition along the irregular upper surface. Internal structural configurations and conductivity contrasts are easily accommodated. The principal variable input into the system is the deep basal (unperturbed) heat flow. The best value of heat flow is obtained by minimizing, in a least‐squares sense, the differences between observed and calculated temperatures. Temperature observations commonly are distributed irregularly in the near‐surface (perturbed) environment, in multiple vertical or inclined boreholes, tunnels, and/or mine galleries. The method is particul...