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Solutions for streamlines and flood advancement obtained with the new model are validated using an independent but more intricate numerical streamline simulation method.
First, we set (kappa=10^{4}), (lambda=1.0), (nu=1.0). Figure 2 gives the numerical temperature at (t=0.05, 0.1, 0.15,mbox{and }1.0). Figure 3 gives the numerical pressure at (t=0.05, 0.1, 0.15, mbox{and }1.0). Figure 4 gives the numerical streamline at (t=0.05, 0.1, 0.15, mbox{and }1.0). Figure 2 Numerical temperatures of Bénard convection problem with (pmb{kappa=1times10^{4}}) at different times.
Such an approach can model waterflooding in marginal fields like the Quitman oil field more accurately than previous potential flow methods and can visualize the sweep pattern and compute time-of-flight contours in a simpler and faster fashion than numerical streamline simulators.
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Figure 4 Numerical streamlines of Bénard convection problem with (pmb{kappa=1times10^{4}}) at different times.
Open image in new window Fig. 9 Numerical streamlines along the pipe wall for increasing degrees of blockage in the vertical yz plane.
Figure 9 Numerical results of thermal driven cavity flow with (pmb{kappa=1times10^{5}}) at different time, left panels the numerical streamlines, middle panels the numerical pressures, and right panels the numerical temperatures.
Figure 10 Numerical results of thermal driven cavity flow with (pmb{kappa=1times10^{6}}) at different times, left panels the numerical streamlines, middle panels the numerical pressures, and right panels the numerical temperatures.
Then the ratio of injection production control area for a synthetic reservoir model is also calculated by streamline numerical simulator.
Besides, considering the available parameters and expense, not all waterflooding reservoirs have the ability to conduct the streamline numerical simulation.
There are three typical approaches to determine the ratio of injection production control area: (1) streamline numerical simulation, (2) empirical method and (3) dynamical split method.
In order to apply streamline numerical simulation to determine the ratio of injection production control area, geology model, fluid property and well schedule are needed to build the streamline model.
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