Case Study 1 - Solutions

Case Study 1 Solutions

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Unformatted text preview: 610 8475870 15.8 50 2597 0.762 10594837 16.8 60 2545 0.915 12713805 17.7 Shape 1 - 4:1 rectangle with Shape 2 - Square with well in Shape 3 - 2:1 rectangle with Shape 4 - 2:1 rectangle with well at centre centre of corner sector well off centre in long well off centre in short Pd(MBH) Pd(td) Pw(t) ∆Pw Pd(MBH) Pd(td) Pw(t) ∆Pw Pd(MBH) Pd(td) Pw(t) ∆Pw Pd(MBH) Pd(td) Pw(t) ∆Pw 0.25 0.35 0.35 0.30 0.35 0.45 0.65 0.90 1.20 1.35 1.63 6.5 2919 -1.6 7.4 7.6 8.1 8.5 9.1 9.6 10.7 11.6 12.6 13.5 2868 2857 2832 2813 2779 2751 2695 2644 2590 2541 10.5 11.7 15.8 17.1 15.1 11.3 8.0 6.3 6.8 3.9 0.20 0.25 0.25 0.25 0.25 0.20 0.20 0.25 0.35 0.75 1.00 1.25 1.45 6.5 6.9 7.2 7.5 7.7 8.2 8.5 9.2 9.8 10.7 11.7 12.7 13.6 2917 2895 2879 2866 2855 2829 2809 2773 2743 2691 2638 2588 2536 -0.3 5.2 9.3 13.2 14.4 18.5 21.2 20.5 19.3 12.1 11.6 9.5 8.6 0.20 0.35 0.55 0.65 0.70 0.80 0.85 0.85 0.85 1.00 1.15 1.40 1.50 6.5 6.9 7.1 7.3 7.5 7.9 8.2 8.9 9.5 10.6 11.6 12.6 13.6 2917 -0.3 2897 2.5 2887 1.2 2877 2.4 2867 2.2 2846 2.4 2826 3.7 2790 4.4 2756 5.9 2698 5.3 2642 7.6 2592 5.5 2538 7.2 0.02 0.20 0.20 0.25 0.30 0.40 0.65 1.00 1.25 1.65 1.93 2.25 2.38 6.6 7.0 7.3 7.5 7.7 8.1 8.3 8.8 9.3 10.3 11.2 12.2 13.1 2912 2893 2877 2866 2856 2835 2821 2794 2767 2715 2663 2614 2561 4.7 6.6 10.6 13.2 13.0 13.1 9.0 0.3 -4.9 -12.2 -13.3 -17.4 -16.3 The following is a plot of the measured bottom-hole pressures versus the theoretical pressure of the given configurations over a 60 hr time span (0-60 hrs): MBH Shapes 2950 2900 2850 pw(psia) 2800 2750 2700 2650 2600 2550 2 500 0.000 0.100 0.200 0.300 0.400 0.500 0.600 0.700 0.800 0.900 1.000 TDa 4:1 rectangle with well at centre Square with well in centre of corner sector 2 :1 rectangle with well off centre in long direction 4:1 rectangle with well off centre in short direction Measured As evident in the plot and table, all configurations are fairly close to the measured values. To determine the best choice I will look at the difference in pressures for the spate flow regimes (using time values determined previously in the report): Average difference in pressure Period Shape 1 Shape 2 Shape 3 Shape 4 IAR (1-4hrs) 4.5 6.9 1.5 8.8 Transiton (4-30 hrs) 13.2 17.7 4.0 3.1 SSS (30-60 hrs) 5.6 9.9 6.8 -15.7 Entire duration (1-60 hrs) 7.8 11.5 4.1 9.2 From the data shape 3, 2:1 rectangle with well off centre in long direction, has the lowest overall difference in pressure from the measured values. More importantly, it has the lowest error during the transition and semi-steady state periods. The MBH plots are much easier to read in these regions and are therefore more accurate that the infinitely acting reservoir region (in which equations are suitable). A final plot of the chosen configuration and measured data is shown below, highlighting the excellent overlay: 5 Final Overlay 2950 2900 2850 Pw (psi) 2800 2750 2700 2650 2600 2550 2 500 0.000 0.100 0.200 0.300 0.400 0.500 0.600 0.700 TDa 2:1 rectangle with well off centre in long direction 6 Measured 0.800 0.900 1.000...
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This note was uploaded on 01/26/2014 for the course ENG 9111 taught by Professor Drjohanssen during the Spring '12 term at Memorial University.

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