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Water flow through a multilayer stratified hillside
Author(s) -
Selim H. M.
Publication year - 1975
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/wr011i006p00949
Subject(s) - surface runoff , flow (mathematics) , erosion , geology , soil water , hydraulic conductivity , subsurface flow , geotechnical engineering , hydrology (agriculture) , soil science , geometry , geomorphology , mathematics , groundwater , ecology , biology
The objective of this study is to present a mathematical analysis for steady state saturated flow through multilayer stratified hillsides of semi‐infinite depth. Two soil surface shapes were considered: a constant soil surface slope and a surface of arbitrary shape. Potential and stream functions were obtained for one‐, two‐, and three‐layered hillsides. The method of solution was based on the Gram‐Schmidt orthonormalization method. For two‐layered hillsides the hydraulic conductivities considered were K 1 : K 2 = 1:10 and 10:1. For three‐layered hillsides the hydraulic conductivities were K 1 : K 2 : K 3 = 1:10:1 and 10:1:10. Flow nets, seepage velocities, and flow rates are presented. These results are useful particularly with regard to subsurface flow, runoff, erosion, and solute movement through sloping soils.