Cj. Vanduijn et P. Knaber, FLOW AND REACTIVE TRANSPORT IN POROUS-MEDIA INDUCED BY WELL INJECTION- SIMILARITY SOLUTION, IMA journal of applied mathematics, 52(2), 1994, pp. 177-200
The authors study concentration profiles of solutes undergoing equilib
rium absorption in the vicinity of a water well. For the case of a con
tamination event, the limit problem of vanishing well radius, which is
of self-similar nature, is analysed in detail. Existence, uniqueness,
and qualitative properties of solutions of the corresponding ordinary
differential equations are shown. Some numerical examples are also pr
esented.