Analytical Solution And Streamline Simulation For Areal Well Patterns

Due to its solving speed, good stability, streamline simulation has been widely used in oil recovery, such as water flooding, gas flooding el at. The main research of this paper is about the analytical solution and streamline simulation for the areal well patterns, and the application of this method in the low-salinity water flooding.The analytical solution of the areal well patterns for the steady state problem is solved by the pressure superposition principle, and then the streamline fields are constructed in the base of the analytical solution. The time of flight(TOF) is used which can transform the 2D material migration equation into 1D equation, then Combined with the method of characteristics(MOC), the 1D equation was solved and the displacement characteristics of the two-phases flooding are analyzed.Because of the unsymmetry of inverted nine spot flooding pattern, the difference between the production wells must be considered. The value of corner-edge well flow rate ratio can influence the water flooding process, including its breakthrough time and sweep efficiency.Based on the research of analytical solution and streamline simulation in this paper, the low-salinity water flooding(LSWF) models is introduced. Firstly, The mechanism of LSWF is presented in detail, and the mathematical model for LSWF is built. Secondly, comparing the numerical solution and analytical solution of one-dimension LSWF model, it can be found that the mathematical model is valid. Finally, the two-dimension model was solved with the streamline method, and the effect of LSWF is shown.A simple evaluation method for LSWF is introduced in the end of the paper with the data of the core experiment data from Yousef(2011). Combined with five-spot well pattern, the increased oil recovery from LSWF is analyzed.