A time independent kinetic plasma model has been developed for studying the plasma conditions on magnetic field lines linking the Saturnian ionosphere and rings. The model includes the gravitational, magnetic mirror, centripetal, and ambipolar electric forces. It includes the effect of the mixing of two plasma populations, a warm electron and water-derived ion (O+, OH+, or H2O+) plasma coming from the rings, and a cool electron and hydrogen ion plasma coming from the ionosphere. Results of the model suggest that the dominant ion near the C ring will be H+ with densities ≥1.0 cm-3. For most of the B ring, the Cassini division, and the A ring the dominant ion will be the water-derived ion, with densities as high as 50 cm-3, depending on the plasma flux from the rings. The flux of water-derived ions from the rings to the ionosphere (a 2500 km) may be as high at 5¿107 cm-2 s-1 for regions of the ionosphere magnetically connected to the outer B ring, independent of the peak ionosphere plasma density. The model results also suggest that the outflow of hydrogen from the ionosphere to the rings may be shut off for field suggest that the outflow of hydrogen from the inosphere to the rings may be shut off for field lines passing through the outer B ring and A ring. This is due to the ambipolar electric field set up by the warm ring plasma trapped near the ring plane by the centripetal force. ¿ American Geophysical Union 1989