Mathematical Simulation of a Groundwater Management in a Drought Area Using an Implicit Finite Dierence Method

Nattawut Pongnu, Nopparat Pochai


The groundwater management is required to solve the problem oflack water resources in many drought areas for agricultural usage. In this study,we propose a groundwater ow model and a groundwater management model thatprovide the pumping rates and the injection rates respectively. The groundwatermodel is providing the hydraulic head that gives the groundwater level. Theimplicit nite dierence method is used to approximate the groundwater owdirections. The objective of groundwater ow management model is the minimumcost of injection rates. These are then subjected to optimal management of thewater injection stations to achieve minimum cost. The numerical experiments arealso given.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|