Inverse Formulation and Finite Difference Solution to Partially Saturated Seepage from Canals1
- Roland W. Jeppson and
- R. William Nelson2
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.Please view the pdf by using the Full Text (PDF) link under 'View' to the left.
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