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The Kornev (1921, 1935) legacy is revisited, from which our modeling corroborates that the Vedernikov (1940) hodograph method in combination with HYDRUS2D is an awesome research dyad for tackling the problems of design of subsurface irrigation systems. Analytical and numerical models provide details of dynamics-kinematics in Kornev’s irrigation, viz.: Position of capillary fringe; Isobars; Isohumes; Isotachs; Flow nets; Tracking of marked moisture particles (tracers) etc.