Transport in Porous Media

, Volume 104, Issue 2, pp 289–298 | Cite as

Stochastic Analysis of Unsaturated Flow Subject to Temporally Correlated Infiltration

  • Ching-Min Chang
  • Hund-Der YehEmail author


In this article, we attempt to quantify the variability of water pressure head in response to temporally correlated fluctuations in infiltration rate in partially saturated heterogeneous formations. This study concentrates on the unsaturated case of predominantly vertical movement of moisture. A closed-form solution is developed to analyze the impacts of the temporal correlation scale of infiltration fluctuations and the spatial correlation scale of log-saturated hydraulic conductivity (\(\hbox {ln}K_S\)) field on the variability in water pressure head. Our result indicates that the temporal correlation scale of infiltration process or the spatial correlation scale of \(\hbox {ln}K_S\) field takes a role in increasing the variability in the pressure head.


Stochastic analysis Unsaturated flow Water pressure head variance 



This research is supported by the Ministry of Science under the grants NSC 101-2221-E-009-105-MY2, 102-2221-E-009-072-MY2 and NSC 102-2218-E-009-013-MY3. We are grateful to the anonymous reviewers for constructive comments that improved the quality of the work.


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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Institute of Environmental EngineeringNational Chiao Tung UniversityHsinchu Republic of China

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