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Uncertainty Estimation in One‐Dimensional Heat Transport Model for Heterogeneous Porous Medium
Author(s) -
Chang ChingMin,
Yeh HundDer
Publication year - 2013
Publication title -
groundwater
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.84
H-Index - 94
eISSN - 1745-6584
pISSN - 0017-467X
DOI - 10.1111/gwat.12088
Subject(s) - hydraulic conductivity , groundwater , covariance , porous medium , groundwater recharge , aquifer , conductivity , soil science , field (mathematics) , thermal conductivity , groundwater flow , uncertainty analysis , environmental science , mechanics , thermodynamics , porosity , mathematics , geotechnical engineering , physics , geology , statistics , quantum mechanics , pure mathematics , soil water
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.