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The effects of the dynamic capillary coefficient, the infiltrating flux rate and the initial and boundary values are systematically studied using a traveling wave ansatz and efficient numerical methods.
Hassanizadeh et al. (2002) suggested that dynamic capillary coefficient, τs, depends on saturation τs = τs (S), and found that the value of τs varies for different water saturation intervals.
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The coefficient of dynamic capillary pressure (kg m−1 s−1).
The calculated large coefficients τs of dynamic capillary pressure demonstrate the obvious dynamic effect of capillary pressure in ultra-low permeability reservoir.
After treatment, a decrease in the water capillary coefficient and an increase in the contact angle were observed.
Pseudo-static capillary pressure curve is also estimated (by using an invasion percolation model) and is compared with the dynamic capillary pressure obtained from the model.
Based on the analysis of infiltration velocities under different external pressures, dynamic capillary pressures can be determined experimentally.
The dynamic capillary pressure (MPa).
The dynamic capillary pressure is larger than quasi-static capillary pressure.
Therefore, the dynamic capillary pressure and capillary end effects should be taken into account.
Through this method, the capillary end effect is avoided and the dynamic capillary pressure is considered.
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