In petroleum drilling, carbonate formations characterized
by natural
fractures can result in troublesome gas–liquid gravity displacement,
which refers to the phenomenon that the drilling mud leakage and gas
kick are simultaneously triggered. This work focuses on clarifying
the mechanism of gas–liquid displacement in vertical fractures
during the drilling of carbonate formations and investigating the
characteristics of gas–liquid displacement under various conditions.
First, the bottom hole pressure allowing for gas–liquid gravity
displacement is analyzed, which determines the coexistence condition
of leakage and kick in vertical fractures. Then, a theoretical model
of gas–liquid displacement flow in a vertical fracture is established.
To verify the reliability and accuracy of the model, the results of
numerical simulation are compared with those of a visualization experiment.
The development process and flow characteristics of gas–liquid
displacement in the fracture under different conditions are numerically
simulated. The effects of pressure difference, drilling mud property,
and fracture geometry on the gas–liquid displacement rate are
analyzed. It is found that the drilling mud leakage rate increases
with the increase of fracture width, fracture height, and drilling
mud density, while it decreases with the increase of pressure difference
and fracture length. The gas invasion rate increases with the increase
of fracture width, fracture height, and pressure difference, while
it decreases with the increase of drilling mud density and fracture
length. The equations for leakage rate and gas invasion rate are derived
by the response surface method, and the methods for mitigating gas–liquid
gravity displacement are discussed. It is expected that the present
work provides a better understanding of the gas–liquid gravity
displacement in carbonate formations.