k_{text{rw}} = {kern 1pt} k_{text{rws}} S_{text{e}}^{3}, (3) k_{text{ro}} = (1 - S_{text{e}} )^{3} (4 where S e is the effective (normalized) saturation, given by Open image in new window Fig. 7 Relative permeability curves of oil and water and fractional flow curve S_{text{e}} = frac{{S_{text{w}} - S_{text{wi}} }}{{1 - S_{text{wi}} - S_{text{or}} }} (5).
For the other 4 studies, the difference between the fractional polynomial curves and Weibull curves was not as great.
In this model the salt does not adsorb nor modifies the water fractional flow curve, but changes the adsorption isotherm.
Applying this theoretical approach, the eutectic points and the equilibrium liquidus temperatures were easily determined from the fractional transformation curve.
In this paper, based on the anomalous diffusion phenomena that also have the long-tail behavior, we developed a new fractional decline curve (FDC) model with three fitting parameters using the general solution of the fractional diffusion equations, which is a special case of so-called Mittag-Leffler function.
If significant coronal deformity was present at the fractional lumbosacral curve, then correction of this deformity with the screws and rods was first achieved before fixation of the L5-S1 segment using this technique.
Models with 2 or 3 knots were considered and the final positioning and number of knots was selected as that which optimally fulfilled the criteria of a high model log likelihood, a close fit to the fractional polynomial curve, and good fit of the model predicted values to observed values over the whole course of pregnancy.
The rate of advancement of the water front can be calculated by Buckley Leverett frontal displacement theory using fractional flow curves that are evaluated from the relative permeability curves (Nazari et al. 2015).
The dynamic model was rigorously validated by comparing the predicted local saturation profiles, fractional flow curves, relative permeabilities, and residual oil saturations against their experimental counterparts.
During a change in total injection velocity by 8.15 times, the shape of fractional flow curves changed significantly, which in turn affected sweep efficiency and pressure profile markedly.
