The modeling of self-potential effects by the use of electric and convection currents is readily adaptable to the problem of crosscoupled flows due to hydrothermal convection. In this modeling of the electrokinetic effects, all that is required is a velocity model and models of the crosscoupling parameters and the electric conductivity. A simple model of a two-dimensional, divergence-free velocity field is used to represent the essential features of a hydrothermal convection system. With this velocity field and the physical properties models, the electric-convection current algorithm is used to calculate the electric current sources and the resultant self-potential. In the examples presented, a positive self-potential anomaly is generated over a plume of rising hot water. The magnitude of the anomaly could easily be of the order of hundreds of millivolts.