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Finite element model has been carried out to simulate the vertical flow and horizontal flow of water and crude oil on several types of soil. Eight models were constructed with a cross-section length of 1000 mm and a height of 350 mm for different types of soil on one layer like (sand, clay, silt, silty sand, and silty clay), and two layers of soil like sand (50%) and clay (50%), sand (50%) and silt (50%), and clay (50%) and silt (50%). Steady-state analysis was applied, and the simulation results obtained that the water discharge quantity (m3/sec) is less than the crude oil discharge quantity on all the scenarios on the steady start analysis, like for the vertical flow simulation, found the highest value is 1.1% for the silty sand soil and the lowest is 0.2% for the clay soil model. And in the horizontal flow simulation, found the highest value is 1.71% for the sandy soil model and the lowest is 0.1% for the clay soil, while there is no change in the flux quantity for the sand-clay and sand-silt soil models. [ABSTRACT FROM AUTHOR]