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Linear theory of subsurface storm flow
Author(s) -
Koussis Antonis D.,
Lien LiTa
Publication year - 1982
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/wr018i006p01738
Subject(s) - kinematic wave , linearization , outflow , kinematics , hydrograph , storm , flow (mathematics) , mathematics , range (aeronautics) , subsurface flow , mathematical analysis , geology , nonlinear system , geotechnical engineering , meteorology , physics , geometry , classical mechanics , engineering , surface runoff , ecology , groundwater , quantum mechanics , biology , aerospace engineering
A solution to the subsurface storm flow problem is developed through linearization of the complete one‐dimensional governing equation. Water surface profiles and outflow hydrographs obtained from this approximate theory are compared with the exact solution and with the kinematic approximation to this problem for a number of cases, characterized by the parameter λ = 4 i cos θ/K sin 2 θ . The accuracy and range of applicability of the proposed theory are greater than that of the kinematic theory. Its results may be considered satisfactory for the cases with λ ≤ 1; however, the kinematic theory is a preferable substitute for λ ≤ 0.25.