(2) The data below is given as input values for a water-flood in a horizontal, linear reservoir. Relative permeability data in this reservoir are given as: kr = krw.max kyo = Kyo,max Fluid and Formation Parameters Porosity, Absolute permeability, k Cross-section area, A Length of formation, L Injection rate, qt Injection time, t Viscosity of water, Uw Viscosity of oil, . Residual water saturation, Swe Residual oil saturation, Sor W Sw-Swe 1-Se-Sor no 1-S-Sor 1-Swe-Sor/ Maximum relative permeability of water, krw,max Maximum relative permeability of oil, Kro,max Power index of water relative permeability, nw Power index of oil relative permeability, no Density of water, pw Density of oil, po Value 0.25 9.869x10-12 1.0 100.0 1.0x104 0.1, 0.4, 0.7, 1.0 1.010- 5.010- 0.1 0.1 0.8 0.8 2.0 2.0 1000 800 Unit m m m m/s days Pa-s Pa-s kg/m kg/m Note that the units in this problem are NOT field units. Carefully perform the calculation when you are using these parameters. a. Compute and plot the relative permeability curves: b. Compute and plot the fractional flow curve f, and its derivative dsw c. Using Welge method, determine the frontal water saturation Sf, the average water saturation at water breakthrough Sw w.bt d. Compute and plot graphs of water saturation profile at t=0.1, 0.4, 0.7, 1.0 days. e. Compute breakthrough time. f. Compute oil recovery factor at breakthrough; df g. Compute and plot oil recovery factor versus injection time before and after water breakthrough. h. Compute and plot water-cut in producing end of the reservoir versus oil recovery factor. (3) Buckley-Leverett solution accounts for the mechanism of secondary recovery. Mobility ratio has a significant impact on water-flooding. Based on the calculation in (2), assume that, in the second case, the oil in the reservoir is heavy and has a viscosity of 5010 Pa-s, in the third case, the oil in the reservoir is light and has a viscosity of 0.510 Pa-s. Plot and compare the fractional flow curve (fw vs. Sw), water saturation profile at t=0.4 day (Sw vs. distance) and oil recovery factor curve (RF vs. time), explain how mobility affects waterflooding and which case of the above three is favorable in secondary recovery.