A General Multi-WellCapture Zone Model:A Tool for Groundwater Management

Abstract The capture zone equations of a multi-well system in bounded confined and unconfined aquifers are derived. The aquifer is rectangular shaped in plan view and bounded along all four sides. The boundaries could be in-flow (constant head) or no-flow (barrier) or a combination of both and hence six boundary configurations are formed. Using the image well theory the flow field in bounded aquifers is first transformed to its equivalent in extensive aquifers and then the complex velocity potential theory is applied for the generation of stream function delineating the capture envelope. We show that the derived solution is general and it may be easily reformulated for some existing solutions of capture zone. Our solution is flexible in terms of well number, well location, well type, extraction/injection rate, uniform regional flow rate and direction and number of boundaries. The derived equations are presented in form of dimensionless capture type curves that may be used for the remediation of contaminated groundwater project design, containment of contaminant plumes and the evaluation of surface-subsurface water interaction.

Keywords:

Complex velocity potential , Capture curves , Groundwater remediation , Image well theory , Surface-subsurface interaction