Premium
Inverse Formulation and Finite Difference Solution to Partially Saturated Seepage from Canals
Author(s) -
Jeppson Roland W.,
Nelson R. William
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/sssaj1970.03615995003400010009x
Subject(s) - inverse , fortran , permeability (electromagnetism) , cartesian coordinate system , inverse problem , capillary action , mathematics , soil water , finite difference , flow (mathematics) , function (biology) , stream function , water table , geotechnical engineering , mathematical analysis , geometry , geology , mechanics , groundwater , soil science , thermodynamics , computer science , physics , chemistry , vorticity , membrane , vortex , biology , operating system , biochemistry , evolutionary biology
The mathematical model describing Darcian flow of water through soils approximates actual occurrences more closely when it permits regions of the flow to be partially saturated. A generally accepted relationship between effective permeability and capillary pressure is utilized to formulate and solve by inverse methods with finite differences the steady‐state flow system of water through soils. The inverse formulation considers the cartesian coordinates x and y as the dependent variables and the potential function ϕ and the two dimensional stream function ϕ as the independent variables (i.e. the problem is solved for x and y in the ϕψ plane). The approach is applied to the problem of seepage from a canal to a water table and a computer program (FORTRAN IV) has been written for solving this problem.