Mathematical modeling of the oil compression process by water in heterogeneous layers

Improving the efficiency of the oil compression process in reservoirs depends largely on studying the factors affecting it in real conditions. For this purpose, building a model of the process taking into account the real processes occurring during oil compression and studying the process on it has both scientific and practical importance. It is known that the heterogeneity of the layer has a great impact on the oil compression process. It affects the coverage ratio of the compression fluid in the oil compression process. A heterogeneous layer means that its filtration and porosity coefficients are variable and interrupted. It should be noted that the layer can be stratified and zonally heterogeneous. On the other hand, if there is a hydrodynamic connection between the layers, it will have a great impact on the oil compression process. The work in question is dedicated to building a mathematical model of the oil compression process by injected water in a heterogeneous layer. To improve the process of oil compression, a mathematical model of the process is first established and studied, taking into account the main factors affecting this process. Oil with relatively low viscosity can be extracted by compression by relatively low fluid under other same conditions. From the analytical expressions obtained from the mathematical model, the production increases during the oil compression process by water in heterogeneous layers, and the compression time is determined based on the given parameters. Keywords: production; reservoir; pressure; heterogeneous; dynamic viscosity; steady state; compression time.