Abstract
Heterogeneity of permeability is an important factor affecting the production of a carbonate reservoir. How to correctly characterize the heterogeneity of permeability has become a key issue for carbonate reservoir development. In this study, the reservoirs were categorized into four superimposed modes based on the actual logging data from a super-giant heterogeneous carbonate reservoir in the Middle East. A modified permeability formula in terms of the variogram method was presented to reflect the heterogeneity of the reservoirs. Furthermore, the models of oil production and water cut were established and the analytical solutions were obtained. The calculation results show that the present model can predict the productivity of wells with different heterogeneous layers more accurately and rapidly. The larger the varigoram value, the stronger the heterogeneity of the reservoirs, and the faster the decline of production owing to a quicker reduction of formation pressure. With the increase in variogram value, the relative permeability of the oil phase is smaller and the water phase larger, and the water cut becomes larger. This study has provided a quick and reasonable prediction model for heterogeneous reservoir.
Highlights
There are two factors to influence oil recovery, which are geological conditions and development plans [1]
The result shows that the present model can reflect the law of real production decline and predict the productivity of heterogeneous reservoirs and accurately
The production declines of superimposed modes B and C are larger than the more heterogeneity, the production declines of superimposed modes B and C are larger than the superimposed modes A and D under the same thickness
Summary
There are two factors to influence oil recovery, which are geological conditions and development plans [1]. The variogram is a method of moment estimation proposed by Motheron (1965), and it is a specific the regional variables, or characterize the randomness of the regional variables, and reflects the research tool in geological statistics [11], which can express the spatial structure with the change variables, degree of or thecharacterize regional variables in a certain distance range and direction [12]. The analysis of variogram values was carried out to determine the relationship with model can predict the productivity of wells with different heterogeneous layers more accurately and oil production, relative permeability and water in a out heterogeneous reservoir. The analysis of variogram values wascut carried to determinecarbonate the relationship withThe oil results could provide new insights and theoretical bases for the development of heterogeneous production, relative permeability and water cut in a heterogeneous carbonate reservoir.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
