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Uncertainty Estimation in One-Dimensional Heat Transport Model for Heterogeneous Porous Medium

机译:非均质多孔介质一维传热模型的不确定度估计

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摘要

In many practical applications, the rates for ground water recharge and discharge are determined based on the analytical solution developed by Bredehoeft and Papadopulos (1965) to the one-dimensional steady-state heat transport equation. Groundwater flow processes are affected by the heterogeneity of subsurface systems; yet, the details of which cannot be anticipated precisely. There exists a great deal of uncertainty (variability) associated with the application of Bredehoeft and Papadopulos' solution (1965) to the field-scale heat transport problems. However, the quantification of uncertainty involved in such application has so far not been addressed, which is the objective of this wok. In addition, the influence of the statistical properties of log hydraulic conductivity field on the variability in temperature field in a heterogeneous aquifer is also investigated. The results of the analysis demonstrate that the variability (or uncertainty) in the temperature field increases with the correlation scale of the log hydraulic conductivity covariance function and the variability of temperature field also depends positively on the position.
机译:在许多实际应用中,地下水的补给和排放速率是根据Bredehoeft和Papadopulos(1965)针对一维稳态传热方程开发的分析解决方案确定的。地下水流动过程受地下系统的非均质性影响。然而,其细节无法精确预期。 Bredehoeft和Papadopulos的解决方案(1965)在现场规模的热传输问题中的应用存在很大的不确定性(可变性)。但是,到目前为止,尚未解决这种应用中涉及的不确定性的量化问题,这是此工作的目标。此外,还研究了对数水力传导率场的统计特性对非均质含水层温度场变化的影响。分析结果表明,温度场的可变性(或不确定性)随对数水力传导率协方差函数的相关尺度而增加,并且温度场的可变性也正好取决于位置。

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  • 来源
    《Ground water》 |2014年第3期|326-331|共6页
  • 作者

    Ching-Min Chang; Hund-Der Yeh;

  • 作者单位

    Institute of Environmental Engineering, National Chiao Tung University, 1001 University Road, Hsinchu, 300, Taiwan;

    Institute of Environmental Engineering, National Chiao Tung University, 1001 University Road, Hsinchu 300, Taiwan;

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