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A Mathematical Solution to a Hillside Seepage Problem
Author(s) -
Warrick A. W.
Publication year - 1970
Publication title -
soil science society of america journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.836
H-Index - 168
eISSN - 1435-0661
pISSN - 0361-5995
DOI - 10.2136/sssaj1970.03615995003400060013x
Subject(s) - infiltration (hvac) , conformal map , pressure head , hydraulic head , geology , head (geology) , geotechnical engineering , flow (mathematics) , hydrology (agriculture) , geometry , mathematics , geomorphology , materials science , thermodynamics , physics , composite material
A solution is presented for a two‐dimensional hillside seepage problem. The soil is assumed to be water‐saturated to the soil surface where the soil water is at atmospheric pressure. Seepage occurs into the flow medium along the upper part and out along the lower part of the sloping soil surface. The flow medium is infinitely deep and bounded laterally by vertical stream‐lines. Conformal transformations are used to find the hydraulic head and stream functions. Although the solution is analytic, a complex integral must be evaluated numerically for application. Numerical data presented includes flownets, seepage velocities, infiltration angles, and volume of flow as a function of slope.