Finite-difference techniques in digital computer modeling of groundwater systems
Groundwater -- Mathematical models.
Digital computer simulation.
Committee ChairEvans, Daniel D.
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PublisherThe University of Arizona.
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AbstractThe main .purpose of this research effort is to provide a comprehensive insight into the current use of computerized finite-difference models that simulate the dynamic behavior of real groundwater systems in response to imposed stresses. A major stress is placed on the accurate representation of groundwater systems by a simulation approach (operations research technique). Finite-difference techniques are among the available methods to approximate the mathematical description of groundwater flow. Two specific finite-difference techniques are examined herein: the alternating direction implicit (ADI) algorithm and the asymmetrical network (ASYM) method. Application of these techniques is restricted in this report to two-dimensional flow in an isotropic, heterogeneous, water-table aquifer. A comparative evaluation of the AD1 and ASYM methods, in the representation of a hypothesized groundwater system, shows that both techniques are accurate and reliable. The ASYM method provides a more accurate assessment in those areas where water levels are varying rapidly. Also, it is superior to the ADI method when dealing with functional domains of irregular boundaries. The ADI representation of the hypothesized groundwater system required 33K of computer central memory and 1391CP seconds of execution time. The ASYM representation of the same hypothesized system required 29K of computer central memory and 325CP seconds of execution time.
Degree ProgramHydrology and Water Resources