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Getty Task 2 Page 2 March 1, 1983 <br />• 2.0 AfODEL DESCRIPTION <br />The finite difference model utilized in this study is a modified version <br />~ of program GRWATER developed at Colorado State University. The model is <br />1' capable of handling confined or unconfined conditions and can also simulate <br />the special case when a confined agaifer becomes unconfined. Using known <br />initial conditions, the model solves for the distribution of heads in <br />horizontal (z,y) plane is response to stresses imposed oa the aquifer. <br />To use the model, the area to be modeled is overlain with a system of <br />grids. It is assumed that the physical and hydraulic properties within each <br />grid can be defined with single values which represent the average value for <br />the grid. The model uses the backward difference method to solve the finite <br />difference form of the groundwater flow equation. Formulation of the <br />coefficient matriz is based on a balance of mass, i.e, the sum of flows plus <br />changes in storage for all grids most be equal to zero. The total number of <br />grids for the system is equal to the number of grid rows (NR) multiplied by <br />the number of grid eolmm~s (NC). A subroutine in the program develops the <br />coefficient matriz, which is a square, pentadiagoaal matriz containing (NR -Z) <br />z (NC - 2) equations and unknowns. This system of linear equations is solved <br />by Gauss elimiatioa. Solutions are obtained at discrete time steps using the <br />known conditions at the end of the previous time step as initial co aditions <br />i for the current time step. <br />Physical and hydraulic data that describe the area to be modeled must be <br />supplied to the program. These data are stored in computer memory as <br />I numerical arrays. Aa array D% (containing NC elements) is used to store the <br />grid spacing along the columns of the grid system while array DY (NR elements) <br />is used to specify the row spacing. Ia addition to horizontal space <br />dimensions, the model requires the following input data: <br />FB - hydraulic conductivity (ft/day) <br />Z - elevation of the lower impermeable boundary (ft) <br />G - elevation of The upper impermeable boundary (ft) <br />~. S - confined aquifer storage coefficient <br />SY - unconfined aquifer apparent specific yield <br />OC - net recharge (+) or discharge (-) (acre-ft/day) <br />H - initial piezometric head elevation (ft) <br />• Boundary conditions must also be known and are specified by special coding of <br />