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dc.contributor.authorYang, Shaw-Yangen_US
dc.contributor.authorYeh, Hund-Deren_US
dc.date.accessioned2014-12-08T15:14:17Z-
dc.date.available2014-12-08T15:14:17Z-
dc.date.issued2007-04-12en_US
dc.identifier.issn0094-8276en_US
dc.identifier.urihttp://dx.doi.org/10.1029/2007GL029285en_US
dc.identifier.urihttp://hdl.handle.net/11536/10918-
dc.description.abstractA mathematical model is developed to describe the groundwater inflow into a tunnel in a multi-layer aquifer system. Based on the model, the closed-form solution is derived to estimate the groundwater flow rate entering the multi-layer tunnel during progressive drilling. The solution has an integrand not only consisting of the product and square of the Bessel functions but also having a singularity at the origin. A unified numerical approach is proposed to evaluate the solution with accuracy to five decimal places. This approach includes a singularity removal scheme, the Gaussian quadrature, and the Shanks method. For a multi-layer formation, the results obtained from the solution based on the equivalent hydraulic conductivity and the newly derived solution differ significantly. This solution is capable of estimating the maximum flow rate inside the horizontal tunnel, and thus can be used as a tool for designing the drainage tunnel system in a multi-layer formation.en_US
dc.language.isoen_USen_US
dc.titleA closed-form solution for a confined flow into a tunnel during progressive drilling in a multi-layer groundwater flow systemen_US
dc.typeArticleen_US
dc.identifier.doi10.1029/2007GL029285en_US
dc.identifier.journalGEOPHYSICAL RESEARCH LETTERSen_US
dc.citation.volume34en_US
dc.citation.issue7en_US
dc.citation.epageen_US
dc.contributor.department環境工程研究所zh_TW
dc.contributor.departmentInstitute of Environmental Engineeringen_US
dc.identifier.wosnumberWOS:000245726300005-
dc.citation.woscount10-
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