A new computational methodology for capture zone design for contaminated ground-water remediation is described. This method has been implemented in a computer model which utilizes both simulation and optimization techniques. The procedure determines the well locations and pump rates which will produce a desired ground-water flow field at minimum cost. In this paper, the design procedure is described along with an example of its use on a hypothetical aquifer system. Numerical experiments are presented which determine the effect on remediation cost of alternate well locations. It is found that different well locations can have a major impact on the overall cost of remediation.