Ground-Water Hydraulics in Aquifer Management

by Eduardo Aguado, Res. Asst.; Dept. of Geology, Stanford Univ., Stanford, CA,
Irwin Remson, Prof. of Appl. Earth Sci. and Geology; Stanford Univ., Stanford, CA,

Serial Information: Journal of the Hydraulics Division, 1974, Vol. 100, Issue 1, Pg. 103-118

Document Type: Journal Paper


The method first replaces the differential equations of ground-water flow by finite-difference approximations that include unknown sink/source terms. The resulting system of algebraic linear equations has a rectangular matrix of coefficients. This system, together with linear inequalities relating sink/source terms, heads or both, and together with an objective function, forms a linear programming (LP) model. The method is applied to small-scale models of confined and unconfined saturated flow for steady-state and transient cases. The steady-state LP models are solved using available computer codes. For the transient confined model, the Crank-Nicolson scheme is used, and a single LP problem is solved covering all of the time steps. For the transient unconfined model, a predictor technique is used, and a LP problem is solved at each corrector step. The optimal solutions are consistent with the results of traditional analyses.

Subject Headings: Groundwater management | Hydraulics | Aquifers | Groundwater flow | Linear functions | Transient flow | Steady states | Computer models

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