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Stochastic Analysis of Field-scale Heat Advection in Heterogeneous Aquifers : Volume 8, Issue 6 (22/11/2011)

By Chang, C.-m.

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Book Id: WPLBN0004012767
Format Type: PDF Article :
File Size: Pages 21
Reproduction Date: 2015

Title: Stochastic Analysis of Field-scale Heat Advection in Heterogeneous Aquifers : Volume 8, Issue 6 (22/11/2011)  
Author: Chang, C.-m.
Volume: Vol. 8, Issue 6
Language: English
Subject: Science, Hydrology, Earth
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Yeh, H., & Chang, C. (2011). Stochastic Analysis of Field-scale Heat Advection in Heterogeneous Aquifers : Volume 8, Issue 6 (22/11/2011). Retrieved from

Description: Institute of Environmental Engineering, National Chiao Tung University, Hsinchu, Taiwan. Owing to the analogy between the solute and heat transport processes, it can be expected that the rate of growth of the spatial second moments of the heat flux in a heterogeneous aquifer over relatively large space scales is greater than that predicted by applying the classical heat transport model. The motivation of stochastic analysis of heat transport at the field scale is therefore to quantify the enhanced growth of the field-scale second moments caused by the spatially varying specific discharge field. Within the framework of stochastic theory, an effective advection-dispersion equation containing effective parameters (namely, the macrodispersion coefficients) is developed to model the mean temperature field. The rate of growth of the field-scale spatial second moments of the mean temperature field in the principal coordinate directions is described by the macrodispersion coefficient. The variance of the temperature field is also developed to characterize the reliability to be anticipated in applying the mean heat transport model. It is found that the heterogeneity of the medium and the correlation length of the log hydraulic conductivity are important in enhancing the field-scale heat advection, while the effective thermal conductivity plays the role in reducing the field-scale heat advection.

Stochastic analysis of field-scale heat advection in heterogeneous aquifers

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