Analytical capture zone modeling of a multi-well system in wedge-shaped aquifers

The capture zone equations of a multi-well system in wedge-shaped aquifers with/without regional flow are derived by the conformal mapping method and velocity potential theory. The aquifer is bounded by two intersecting boundaries that are either no-flow or in-flow. The well field includes any number of extraction/injection/ (combination of both) wells. The solution determines the effect of number, position and extraction/injection rate of wells, boundary type and direction and rate of the regional flow on the size, shape and pattern of the well capture zones. Examples demonstrate the application of the capture envelope equations in the management of water resources

Keywords:

wedge-shaped aquifer , capture zone , complex potential velocity , conformal mapping , Schwarz-Christoffel transformation