Mechanics of a Mathematical Ground-Water Model

by Frank J. Trelease,
Morton W. Bittinger,

Serial Information: Journal of the Irrigation and Drainage Division, 1963, Vol. 89, Issue 1, Pg. 51-64

Document Type: Journal Paper


An example of a mathematical model developed to describe the operational characteristics of the Widefield Channel aquifer in the Fountain Creek Valley, near Colorado Springs, could be readily adapted to similar aquifers. The Widefield Channel aquifer is an alluvial aquifer lying in a narrow trench eroded in relatively impermeable bedrock. Direct recharge to this part of the aquifer from Fountain Creek does not occur because the present stream course does not overlie the aquifer. Increased Dumping, which began in approximately 1954, has resulted in rapid water-table lower-in where the natural recharge is not available. In order to develop a workable mathematical model, the boundaries were idealized as straight lines, the wells were simplified and the hydraulic characteristics of the aquifer were considered uniform. A general program for the digital computer was developed which is adaptable to any problem of this type. After several trials and despite rather severe simplifications, favorable results were obtained.

Subject Headings: Aquifers | Hydraulic models | Rivers and streams | Mathematics | Groundwater | Mathematical models | Hydrologic models | Alluvial channels | Colorado | United States

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