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An Approximation for the Bank Storage Effect
Author(s) -
Hunt Bruce
Publication year - 1990
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr026i011p02769
Subject(s) - hydrograph , kinematic wave , routing (electronic design automation) , groundwater , channel (broadcasting) , flood myth , groundwater flow , flow (mathematics) , flow routing , open channel flow , mathematical optimization , mathematics , computer science , geology , geotechnical engineering , geometry , aquifer , geography , telecommunications , ecology , computer network , archaeology , surface runoff , biology
A perturbation procedure is used to calculate an approximate flood‐routing solution for the coupled groundwater and open channel flow equations. Seepage is initially neglected to calculate the solution of the linearized kinematic wave equations. The kinematic wave solution is then used to obtain a solution for the groundwater problem, and this groundwater solution is used to obtain a second‐order solution for the flood‐routing problem. The solution has a relatively simple form that is easily applied, and an example suggests that changes created in the downstream hydrograph by bank storage can be of the same order as changes created by retaining all terms in the open channel flow equations and routing the flood down the channel with zero bank storage.