Countercurrent imbibition is an important oil recovery
mechanism
in tight reservoir development. For tight oil reservoirs with hydraulic
fractures and natural fractures, the injected fluid imbibes into a
tight matrix from the fracture surface while crude oil flows reversely
into the fracture during the process of liquid injection and soaking.
Based on the traditional imbibition model, this paper proposes a countercurrent
imbibition extension model for porous medium with micro-/nanopores,
considering the early superdiffusion phenomenon under low water saturation.
The reliability of this proposed model is further verified through
experimental imbibition data and compared with the classical imbibition
model. This model can obtain the dynamic evolution process of the
imbibition saturation profile and quantify the countercurrent imbibition
distance (imbibition range). The sensitivity analysis is then conducted,
including the imbibition time, core length, characteristic parameters
of relative permeability, characteristic parameters of capillary pressure,
oil viscosity, and permeability. The results demonstrate that the
countercurrent imbibition process can be divided into three stages:
the superdiffusion stage (faster than t
0.5), transition stage, and subdiffusion stage (slower than t
0.5). Two key parameters, the critical imbibition
saturation and its corresponding critical imbibition time, can be
obtained through this model, which are significant to establishing
reasonable soaking time for achieving higher oil recovery. This research
improves the understanding of the countercurrent imbibition process,
which explores the efficient development of water injection for tight
oil reservoirs with micro-/nanopores.