ScienceDirect IFAC-PapersOnLine 48-1 (2015) 234–239 Available online at www.sciencedirect.com 2405-8963 © 2015, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved. Peer review under responsibility of International Federation of Automatic Control. 10.1016/j.ifacol.2015.05.065 © 2015, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved. Keywords: Complex velocity potential, Capture curves, Groundwater remediation, Image well theory, Surface-subsurface interaction. 1. INTRODUCTION Capture zone could be defined as the volume of the aquifer that provides water to the well(s) in the steady state condition. The study of capture zone is very useful for the design of contaminated groundwater remediation projects such as pump-and-treat, plume containment, bioremediation and chemical oxidation, surface-subsurface water interactions, well head protection plan and etc. Following the early work of Muskat (1946) many research have been conducted on the delineation of well capture zone [Bear (1979), Javandel et al (1984), Javandel and Tsang (1986), Grubb (1993), Bakker and Strack (1996), Schafer (1996), Bair and Lahm (1996), Shan (1999), Christ and Goltz (2002, 2004), Luo and Kitanidis (2004), Kompani-Zare et al. (2005), Fienen et al. (2005), Zhou and Haitjema (2012), Ataie- Ashtiani et al. (2012) and De Smedt (2014)]. In all above research analytical approach is used for describing the capture zone of well(s) in extensive aquifers. For the cases such as surface-subsurface interaction and calculation of stream depletion volume the capture zone of wells that are located close to streams are important issues. Another issue of concern in regard to aquifer-stream interaction may be avoiding the interaction of a well with a polluted stream. Sometimes the containment of a contaminant source zone by impervious physical barriers and recovering the contaminant inside the barrier by pumping wells are required. Therefore, in such cases the well capture zone in bounded aquifers need to be defined. Intaraprasong and Zhan (2007) found the capture zone of one well located between two parallel streams. They studied the effects of two different streambed-aquifer interfaces on the shape of the capture zone. The streams have either perfect hydraulic connection with the aquifer or low-permeability sediments clogs the interface. Asadi-Aghbolaghi et al. (2011) presented the capture zone of a pumping well near a stream and discussed over two critical extraction rates that control well- aquifer-stream interaction. Samani and Zarei-Doudeji (2012) present the capture zone of a multi-well system in wedge- shaped confined and unconfined aquifer with and without uniform flow. In their solution well types, locations, numbers and discharging/recharging rates, and uniform flow rate and direction are optional. Zarei-Doudeji and Samani (2014) presented an analytical solution for the capture zone of a multi-well system in peninsula-shaped confined and unconfined aquifer and demonstrated the engineering application of their solution. To our knowledge, solution for capture zone in aquifers that are bounded in all sides is not found in literatures. In this paper, we present the capture zone of a multi-well system in a bounded confined and unconfined aquifer with and without regional flow. The equation of capture curves are derived using image well theory and complex velocity function. The results is given in form of capture type curves that may be used to hydraulically contain a contaminant plume, to plan pump-and-treat and remediation projects, to estimate stream Department of Earth Sciences, Shiraz University, Shiraz 71454, Iran *(Tel: +98 713 228 4572; e-mail: samani@ susc.ac.ir). ** (Tel: +98 917 337 1344; e-mail:szarei@shirazu.ac.ir) 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. A General Analytical Capture Zone model: A Tool for Groundwater Remediation Nozar Samani* Somayeh Zarei-Doudeji**