Due to the small pore throat characteristics of tight
oil reservoirs,
their strong capillary pressure makes imbibition replacement an effective
development method. Field data has indicated that only a little fracture
fluid can flow back and that there is an enhancement in oil recovery
with shut-in periods after volume fracturing. A large number of scholars
have carried out core-scale experiments on imbibition characteristics,
but there has been limited research on the quantitative characterization
of the differential pressure and imbibition replacement during counter-current
imbibition. At the same time, there was also controversy on the calculation
method of the optimal soaking time. In this paper, a mathematical
model of oil–water two-phase flow is first established. Then,
a mathematical model representing differential pressure and imbibition
replacement in tight reservoirs is derived with a diversion function.
Based on the saturation equation, Corey relative–permeability
curve, and
J
function, the model is simplified to
a mathematical model of spontaneous imbibition in the shut-in periods
after volume fracturing. Second, based on the finite difference method,
a dynamic solution method for the flow field considering the dynamic
capillary force was established, and the variation law of the pressure
field and the water saturation field during the soaking time was revealed.
The simulation results show that imbibition characteristics are the
core of flow field reconstruction, and the differential pressure action
can ensure the advancing distance of the fracturing fluid; both of
them are not a linear superposition on tight oil development but complement
each other and promote each other. Third, according to the growth
rate of the imbibition replacement between fractures and the matrix
during the soaking time, the calculation method of optimal soaking
time was established. Taking the development parameters of the volume
fracturing development case in the Ordos Basin into account, a reasonable
soaking time was optimized. Finally, we analyzed the optimal soaking
time under different conditions, and a chart of optimal soaking time
for different initializations was plotted. Such a chart has profound
reference significance for engineers, and they can make quick and
accurate decisions regarding development and adjustment.