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The initial nominal decline rate

Table of Contents

LIST OF FIGURES 2

LIST OF TABLES 4

DISCUSSION 43

CONCLUSION 44

LIST OF FIGURES

Figure 3: History match curve for #1 13

Figure 4: Future Prediction curve for #1 14

Figure 9: History Match curve for Well 3 18

Figure 10: Future prediction curve for Well 3 19

Figure 15: History match curve for well 5 23

Figure 16: Future prediction curve for well 5 24

Figure 21: History Match Curves for #7 28

Figure 22: Future Predictions curve for #7 29

Figure 27: History Match for #9 33

Figure 28: Future Predictions for #9 34

Figure 33: Type Curve BRN Oil 38

Figure 34: Type Curve BRN Gas 39

Figure 39: NYMEX NGF 3 46

Figure 40: NYMEX CLF 3 47

LIST OF TABLES

Table 5: Final values obtained after calculations for #2 14

Table 6: EUR and ERR values for #2 14

Table 11: Final values obtained after calculations for well 4 19

Table 12: EUR and ERR values for well 4 19

Table 17: Final averages for #6 24

Table 18: EUR and ERR values for #6 24

Table 23: Values for #8 obtained after calculations 29

Table 24: EUR and ERR values for #8 29

Table 29: Final Values obtained after calculations for #10 34

Table 30: EUR and ERR values for #10 34

EXECUTIVE SUMMARY

INTRODUCTION

The decline curves are among the most common methods for the production forecast. These curves are nothing but plot of rate of production with respect to the time on either a specially scaled graph, or a log – log graph or a semi – log graph. The decline curves are of two types, namely, exponential decline and hyperbolic decline.

The exponential decline curve is represented via the equation shown below:

The initial rate of production

The nominal exponential decline rate

time

The initial rate of production

In the above expressions, the symbols represent the following:

Now the economics for the wells must be taken into consideration. The wells are basically mutually exclusive in nature. That means if one is accepted, the other is rejected and vice versa. The decision could be made by comparison of the cash flows at same or equivalent times. Then the time value of money is embedded. All this is done via the net present value. This value is obtained by discount of the future cash flow for the zero time and them summing up. The mathematical expression for this is as shown below:

METHODOLOGY

We were given the cumulative data for the wells. The value of was calculated using this. The value of b was taken to be 0.31.

Next, the q – model was built. The formula used is shown below:

The next step is to calculated the value of SD for q-model, which can be done using the expression given below:

The value of used in above calculations is done as below:

The value of for q and Np model is calculated as:

The slope values are obtained using the graph.

The example window for the software to be used is shown below which shows the basic elements for our software.

RESULTS

Figure : Initial curve for #1

Using this the slope and intercept are obtained.

b 0.31
slope 0.000054
int 0.085985
qi 2737.449671
Di 0.00202586
EUR 1695.63269
ERR 271.3900654

Figure : History match curve for #1

The future predictions curve is shown below.

Avg-q 1006.0432 Avg-Np 832875.4498
SSD 13301775 SSD 5.86495E+12
SST 357135514 SST 1.78079E+14
R2 96.275426 R2 96.70654016

The initial curve for well 3 is shown below.

Figure : Initial curve for Well 3

b 0.31
slope 0.000044
int 0.094724
qi 2003.280859
Di 0.001498411
EUR 1559.684421
ERR 135.4417964

Figure : History Match curve for Well 3

The below figure shows the future prediction for Well 3.

Avg-q 1214.7333 Avg-Np 919682.7032
SSD 61114072 SSD 3.50253E+12
SST 301042214 SST 2.27828E+14
R2 79.699169 R2 98.46264195

The initial curve for well 5 is shown below.

Figure : Initial curve for well 5

b 0.31
slope 0.000055
int 0.085601
qi 2777.260715
Di 0.002072632
EUR 1689.25671
ERR 265.0140848

Figure : History match curve for well 5

The future prediction curve is shown below.

The table below shows the other critical values that are needed for calculations.

Avg-q 1149.5255 Avg-Np 973048.4272
SSD 26918632 SSD 3.11232E+11
SST 862764221 SST 1.80707E+14
R2 96.879955 R2 99.82776977

The table below presents the results for EUR and ERR values.

Figure 19: Future Predictions #6

The results shown are for well 6. Similarly, the results are obtained for well 7, 8, 9 and 10.

Table 19: Parameters obtained for #7

b 0.31
slope 0.000077
int 0.100519
qi 1654.071674
Di 0.002471046

Table 21: The EUR and ERR values for #7

EUR 830.0591369
ERR 73.45888685

Now, we shall see the results for well 8. First, the plot between q to power negative b and time is shown below.

Figure 23: Initial Curve for #8

Table 23: Values for #8 obtained after calculations

Avg-q 682.3088 Avg-Np 558413.4
SSD 14040964 SSD 3.81E+11
SST 2.82E+08 SST 5.86E+13
R2 95.01294 R2 99.35045

Figure 24: History Match for #8

The future predictions plot for the well 8 is as under.

Table 25: Parameters for #9

b 0.31
slope 0.000068
int 0.09205
qi 2197.14507
Di 0.002382997

Table 27: EUR and ERR values for #9

EUR 1177.752812
ERR 154.3097136

Now, for well 10, the initial plot is shown below.

Figure 29: Initial curve for #10

Table 29: Final Values obtained after calculations for #10

Avg-q 987.8083 Avg-Np 793907.6
SSD 23018057 SSD 6.56E+11
SST 5.96E+08 SST 1.14E+14
R2 96.13709 R2 99.42409

Figure 30: History Match for #10

In all the 5 wells, there exists a value of time for which the value of q model becomes or tends to 100. These values are shown below.

# Time q model Np model
6 2334 100.070315 1611890.582
7 1809 100.0959293 830059.1369
8 1871 100.07 906800
9 2174 100 1177752.81
10 2134 100.0919 1312077

Figure 31: Type Curve BK oil

Figure 34: Type Curve BRN Gas

Figure 36: NPV calculator results BRN

The PVP curves which show trend of the NPV are shown below.

Both the curves show an inverse proportion.

DISCUSSION

The results obtained are now analysed so that predictions can be done.

CONCLUSION

In this project, we have used methods and designed wells for the company. The decline curve analysis method was used for determination of the initial rate of production, the hyperbolic exponent, the initial nominal decline rate. We used this data to forecast the values for next three years. Using this forecast, we determined the values for monthly net cash flow. The net present values were determined using the software. The values obtained were $236,154 and $546,823. The said values represent the present value of three year forecast of production from these well. The other well must be selected if the purchase price is upto a maximum $310,669 more than the first one. However, if the price is more than $310,669 the first, then the first must be taken.

APPENDIX I: WORK DISTRIBUTION

The work distribution is shown in table below.

APPENDIX II: STANDARD CHARTS

Figure 39: NYMEX NGF 3

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