Quasi-stationary model of fracture development during the change the well mode to the injection after production

Introduction. Field experience in the field’s development with wells with hydraulic fracture shows that after oil production, these wells are often transferred to water injection. The accompanying increase in bottom-hole pressure can lead to fracture growth, which reduce the sweep efficiency. Classical models for predicting fracture
growth do not consider the difference in the characteristic scale of the processes.

The aim of the article is to calculate the dynamics of the fracture growth near injector using a quasi-stationary
model.

Materials and methods. A quasi-stationary concept of the fracture near injector growth is proposed. Based on
this approach, a new model of such fracture growth has been formulated, which makes it possible to predict
the change in the flow rate of wells depending on the volume of water injected. It describes the establishment of
pressure in the fracture based on the model of deep-bed suspension migration. The suspension flow through the
fracture is calculated based on the laws of conservation of mass and momentum. Exceeding the flow rate of the
injected suspension above its outflow causes the fracture growth.

Results. The dynamics of fractures growth and the corresponding relative increase in flow rate for 2 wells of one
of the Russian fields are calculated. The correlation dependence of the damage factor on the permeability of the
reservoir is determined.

Conclusion. The calculated forecasts based on the proposed model make it possible to determine the dynamics
of fractures growth, depending on the filtration and capacitance properties of the rock.

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