“…A number of analytical solutions exist, mostly based on the Lewis and Milne [1938] integral equation, relating the distance and rate of advance with the rate of infiltration, using various infiltration relationships [ Collis‐George and Freebairn , 1979; Philip , 1966, 1969; Philip and Farrell , 1964]. These equations have been used and trialed in studies such as those of Knight [1980], (F. J. Cook et al, An improved solution for the infiltration‐advance problem in irrigation hydraulics, submitted to Irrigation Science , 2011), Goswami [2007], Connell et al [2001], and Rasmussen [1994]. The solutions, however, assume an infinitely deep water table; therefore recharge is not influenced by shallow or dynamic groundwater conditions.…”