Recharge/seepage from an array of rectangular channels

SummaryAn exact analytical solution for the quantity of Recharge/Seepage from an array of rectangular channels underlain by a drainage layer and with pressure at a shallow/large depth has been obtained using an inverse hodograph and Schwarz–Christoffel transformation. The symmetry about the vertical axis has been utilized in obtaining the solution for half of the seepage domain only. The solution also includes relations for variation in seepage velocity along the channel perimeter and a set of parametric equations for the location of phreatic line. From this generalized case, particular solutions have also been deduced for an array of rectangular channels without pressure, without drainage layer or a single rectangular channel with drainage layer at finite/infinite depth. The solution is useful in quantifying artificial recharge and/or seepage loss from an array of rectangular channels.