Despite the information obtained about the types of flow passing through soils and their potential effects on geotechnical problems, so far the subject of discovering the basic factors in preventing seepage by Hydraulic-Electric coupled flows and providing a model (numerical and laboratory) which can relate the electric current to hydraulic flow remains unknown. The phenomenon of coupled flows is a type of flow that is created due to the driving force or gradient of another type In fact, this research project is aimed at developing the theoretical knowledge of hydraulic-electric coupled flows and its results can be used to zero the flow in a porous medium such as seepage in engineering . Also, the simulation of the electrokinetic barrier process was carried out using the finite difference method and the methods of solving the numerical model of this process were investigated.Finally, the progressive difference approximation scheme was proposed for coding in MATLAB program due to its greater accuracy. In the laboratory part of the studies, an innovative physical model was provided. In order to achieve this purpose, several experiments were conducted on kaolinite soil with a dry compared with each other. The , 3 , and 1.33 gr/cm 3 , 1.315 gr/cm 3 1.3 gr/cm specific gravity ) the electrical gradients applied to the 3 =1.33 gr/cm d results showed that in denser samples (γ cell could stop the hydraulic flow at higher hydraulic heads, while in less dense samples ied electrical gradients caused hydraulic heads to ) appl 3 =1.3 gr/cm d and γ 3 =1.315 gr/cm d (γ stop at lower values. It was found that the ability of the electrical gradient to create an electroosmotic flow to overcome the hydraulic flow and create an electrokinetic barrier is influenced by the input voltage, and also the dry specific gravity of the samples in the cell, and this ability increases under the influence their increase..