In the last few years horizontal wells are becoming increasingly important. This paper presents a hydrodynamic method for solving the flow problem of areal water-flooding systems of combinations of vertical and horizontal wells(5-spot well pattern and 7-spot well pattern). The potential function, production rate, breakthrough time, areal sweep efficiency and stream functions are derived respectively. Also, the flow resistance method is used for getting the equations of horizontal well production for all the areal floods. Finally, the equations of oil productions derived by the two methods are compared.
Horizontal wells have become a subject of renewed interest and played an increasing role as alternate production tools to vertical or slanted wells over the last ten years. But most of them are individual and the study on the fluid flow of horizontal wells is under the limitation of individual well unlike vertical multi-well systems. In order to make a proper use of horizontal wells in oil and gas production, how to combine horizontal well with another horizontal well or vertical wells is becoming increasingly important. This paper presents a hydrodynamic method for solving the fluid flow problem of areal waterflooding systems of combination of vertical and horizontal wells(5-spot well pattern and 7-spot well pattern), which is of importance for reservoir engineering study of horizontal well development.