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Soil Science Society of America Journal Abstract -

Inverse Formulation and Finite Difference Solution to Partially Saturated Seepage from Canals1


This article in SSSAJ

  1. Vol. 34 No. 1, p. 9-14
    Received: Apr 18, 1969
    Accepted: Sept 19, 1969

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  1. Roland W. Jeppson and
  2. 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.

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