PNGE 470 CSU DCA using Arps and Doung Models Excel Sheet

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Engineering

PNGE 470

Colorado State University

PNGE

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PNGE 470 HOMEWORK The production data from a horizontal shale well is provided. 1. Use the production data for the first 44 months to perform DCA using b 2. Predict the production rate for the next 44 months using the results of 3. Compare the predicted rates and actual rates to detrmine which meth SUMMER 2020 HOMEWORK 10 provided. months to perform DCA using both Arps and Doung models. 44 months using the results of DCA for both cases. rates to detrmine which method provides more reliable predictions. Time Month Flow Rate Mscf/Month 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 58056 53757 47962 43370 42172 39718 34057 36048 33385 32712 32507 31938 31091 29312 28978 27224 28059 27138 23676 25641 23698 23181 22711 22000 24718 23170 22370 19851 19879 19667 18131 18000 18468 20000 19614 18682 17402 18456 17796 17819 17786 17191 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 17449 14965 15517 15034 15497 15564 15228 14806 14252 14863 15708 13326 15377 15286 16111 13951 13975 12817 12595 12957 12512 12833 12768 11468 12951 13154 13186 12946 13311 12993 12568 12885 12484 12511 11852 10063 12000 11469 11858 11731 11994 11661
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PNGE 470

HOMEWORK
The production data from a horizontal shale well is provided.

1. Use the production data for the first 44 months to perform DCA using b

2. Predict the production rate for the next 44 months using the results of

3. Compare the predicted rates and actual rates to detrmine which meth

SUMMER 2020

HOMEWORK 10
provided.

months to perform DCA using both Arps and Doung models.

44 months using the results of DCA for both cases.

rates to detrmine which method provides more reliable predictions.

Time
Month

Flow Rate
Mscf/Month

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42

58056
53757
47962
43370
42172
39718
34057
36048
33385
32712
32507
31938
31091
29312
28978
27224
28059
27138
23676
25641
23698
23181
22711
22000
24718
23170
22370
19851
19879
19667
18131
18000
18468
20000
19614
18682
17402
18456
17796
17819
17786
17191

43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84

17449
14965
15517
15034
15497
15564
15228
14806
14252
14863
15708
13326
15377
15286
16111
13951
13975
12817
12595
12957
12512
12833
12768
11468
12951
13154
13186
12946
13311
12993
12568
12885
12484
12511
11852
10063
12000
11469
11858
11731
11994
11661

Decline Curve Analysis Duong’s method
𝑞

1.

Plot 𝐺 𝑣𝑠. 𝑡 on a Log-Log plot.

2.

Find a & m.

3.

Plot q vs t(a,m) on Cartesian graph.

4.

Find q1 & q.

5.

Find production/flow rate using:

𝑝

q = q1 t(a,m) + q
Find cumulative production using:

𝐺𝑝 =

𝑎
𝑞1
𝑡 1−𝑚 −1
1−𝑚
𝑒
𝑎

+ q 𝑡

Graph the history match of q and Gp.
Graph predictions same as the history match but with for additions of time it might

ARP Method






Guess a value of b.
Plot q-b vs. time.
If it is not a straight line continue guessing until a straight-line appear. *Both the slope and intercept should be
Find the slope and intercept of the line.
Find qi and Di using:
1

𝑞𝑖 = 𝐼𝑛𝑡.−𝑏
𝑆𝑙𝑜𝑝𝑒
𝐷𝑖 = 𝐼𝑛𝑡.×𝑏
• Find production/flow rate using:
𝑞𝑖
𝑞=
1
1+𝑏𝐷𝑡 𝑏

• Graph the history match of q and Gp vs time for both the field and the models.
• Graph predictions same as the history match but with for additions of time it might deviate.
R2 values for both Arp’s and Duong’s
• Average GP and Average q of the field
• ST-q= (avg q field- qfield)2
• SD-q=(q model – q field)2
• ST-Gp= (avg Gp field- Gp field)2
• SD-Gp=(Gp model – Gpfield)2
• R2= 1- SSD/SST

time it might deviate.

the slope and intercept should be positive.

deviate.

FIELD DATA
Well
Month
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31

Q (Mscf/month)

Gp, Mscf

58056,00
53757,00
47962,00
43370,00
42172,00
39718,00
34057,00
36048,00
33385,00
32712,00
32507,00
31938,00
31091,00
29312,00
28978,00
27224,00
28059,00
27138,00
23676,00
25641,00
23698,00
23181,00
22711,00
22000,00
24718,00
23170,00
22370,00
19851,00
19879,00
19667,00
18131,00

58.056
111.813
1.550.673
2.851.773
4.116.933
5.308.473
6.330.183
7.411.623
8.413.173
9.394.533
10.369.743
11.327.883
12.260.613
13.139.973
14.009.313
14.826.033
15.667.803
16.481.943
17.192.223
17.961.453
18.672.393
19.367.823
20.049.153
20.709.153
21.450.693
22.145.793
22.816.893
23.412.423
24.008.793
24.598.803
25.142.733

q (Mscf/day
1935,20
1791,90
1598,73
1445,67
1405,73
1323,93
1135,23
1201,60
1112,83
1090,40
1083,57
1064,60
1036,37
977,07
965,93
907,47
935,30
904,60
789,20
854,70
789,93
772,70
757,03
733,33
823,93
772,33
745,67
661,70
662,63
655,57
604,37

Days
30
60
90
120
150
180
210
240
270
300
330
360
390
420
450
480
510
540
570
600
630
660
690
720
750
780
810
840
870
900
930

32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77

18000,00

25.682.733

18468,00
20000,00
19614,00
18682,00
17402,00
18456,00
17796,00
17819,00
17786,00
17191,00
17449,00
14965,00
15517,00
15034,00
15497,00
15564,00
15228,00
14806,00
14252,00
14863,00
15708,00
13326,00
15377,00
15286,00
16111,00
13951,00
13975,00
12817,00
12595,00
12957,00
12512,00
12833,00
12768,00
11468,00
12951,00
13154,00
13186,00
12946,00
13311,00
12993,00
12568,00
12885,00
12484,00
12511,00
11852,00

26.236.773
26.836.773
27.425.193
27.985.653
28.507.713
29.061.393
29.595.273
30.129.843
30.663.423
31.179.153
31.702.623
32.151.573
32.617.083
33.068.103
33.533.013
33.999.933
34.456.773
34.900.953
35.328.513
35.774.403
36.245.643
36.645.423
37.106.733
37.565.313
38.048.643
38.467.173
38.886.423
39.270.933
39.648.783
40.037.493
40.412.853
40.797.843
41.180.883
41.524.923
41.913.453
42.308.073
42.703.653
43.092.033
43.491.363
43.881.153
44.258.193
44.644.743
45.019.263
45.394.593
45.750.153

600,00
615,60
666,67
653,80
622,73
580,07
615,20
593,20
593,97
592,87
573,03
581,63
498,83
517,23
501,13
516,57
518,80
507,60
493,53
475,07
495,43
523,60
444,20
512,57
509,53
537,03
465,03
465,83
427,23
419,83
431,90
417,07
427,77
425,60
382,27
431,70
438,47
439,53
431,53
443,70
433,10
418,93
429,50
416,13
417,03
395,07

960
990
1020
1050
1080
1110
1140
1170
1200
1230
1260
1290
1320
1350
1380
1410
1440
1470
1500
1530
1560
1590
1620
1650
1680
1710
1740
1770
1800
1830
1860
1890
1920
1950
1980
2010
2040
2070
2100
2130
2160
2190
2220
2250
2280
2310

78
79
80
81
82
83
84

10063,00
12000,00
11469,00
11858,00
11731,00
11994,00
11661,00

46.052.043
46.412.043
46.756.113
47.111.853
47.463.783
47.823.603
48.173.433

335,43
400,00
382,30
395,27
391,03
399,80
388,70

2340
2370
2400
2430
2460
2490
2520

7050
7080
7110
7140
7170
7200
7230
7260
7290
7320
7350
7380
7410
7440
7470
7500
7530
7560
7590
7620
7650
7680
7710
7740
7770
7800
7830
7860
7890

7920
7950
7980
8010
8040
8070
8100
8130
8160
8190
8220
8250
8280
8310
8340
8370
8400
8430
8460
8490
8520
8550
8580
8610
8640
8670
8700
8730
8760
8790
8820
8850
8880
8910
8940
8970
9000
9030
9060
9090
9120
9150
9180
9210
9240
9270
9300

9330
9360
9390
9420
9450
9480
9510
9540
9570
9600
9630
9660
9690
9720
9750
9780
9810
9840
9870
9900
9930
9960
9990
10020
10050
10080
10110
10140
10170
10200
10230
10260
10290
10320
10350
10380
10410
10440
10470
10500
10530
10560
10590
10620
10650
10680
10710

10740
10770
10800
10830
10860
10890
10920
10950
10980
11010
11040
11070
11100
11130
11160
11190
11220
11250
11280
11310
11340
11370
11400
11430
11460
11490
11520
11550
11580
11610
11640
11670
11700
11730
11760
11790
11820
11850
11880
11910
11940
11970
12000
12030
12060
12090
12120

12150
12180
12210
12240
12270
12300
12330
12360
12390
12420
12450
12480
12510
12540
12570
12600
12630
12660
12690
12720
12750
12780
12810
12840
12870
12900
12930
12960
12990
13020
13050
13080
13110
13140
13170
13200
13230
13260
13290
13320
13350
13380
13410
13440
13470
13500
13530

13560
13590
13620
13650
13680
13710
13740
13770
13800
13830
13860
13890
13920
13950
13980
14010
14040
14070
14100
14130
14160
14190
14220
14250
14280
14310
14340
14370
14400
14430
14460
14490
14520
14550
14580
14610
14640
14670
14700
14730
14760
14790
14820
14850
14880
14910
14940

14970
15000
15030
15060
15090
15120
15150
15180
15210
15240
15270
15300
15330
15360
15390
15420
15450
15480
15510
15540
15570
15600
15630
15660
15690
15720
15750
15780
15810
15840
15870
15900
15930
15960
15990
16020
16050
16080
16110
16140
16170
16200
16230
16260
16290
16320
16350

16380
16410
16440
16470
16500
16530
16560
16590
16620
16650
16680
16710
16740
16770
16800
16830
16860
16890
16920
16950
16980
17010
17040
17070
17100
17130
17160
17190
17220
17250
17280
17310
17340
17370
17400
17430
17460
17490
17520
17550
17580
17610
17640
17670
17700
17730
17760

17790
17820
17850
17880
17910
17940
17970
18000
18030
18060
18090
18120
18150
18180
18210
18240
18270
18300
18330
18360
18390
18420
18450
18480
18510
18540
18570
18600
18630
18660
18690
18720
18750
18780
18810
18840
18870
18900
18930
18960
18990
19020
19050
19080
19110
19140
19170

19200
19230
19260
19290
19320
19350
19380
19410
19440
19470
19500
19530
19560
19590
19620
19650
19680
19710
19740
19770
19800
19830
19860
19890
19920
19950
19980
20010
20040
20070
20100
20130
20160
20190
20220
20250
20280
20310
20340
20370
20400
20430
20460
20490
20520
20550
20580

20610
20640
20670
20700
20730
20760
20790
20820
20850
20880
20910
20940
20970
21000
21030
21060
21090
21120
21150
21180
21210
21240
21270
21300
21330
21360
21390
21420
21450
21480
21510
21540
21570
21600
21630
21660
21690
21720
21750
21780
21810
21840
21870
21900
21930
21960
21990

22020
22050
22080
22110
22140
22170
22200
22230
22260
22290
22320
22350
22380
22410
22440
22470
22500
22530
22560
22590
22620
22650
22680
22710
22740
22770
22800
22830
22860
22890
22920
22950
22980
23010
23040
23070
23100
23130
23160
23190
23220
23250
23280
23310
23340
23370
23400

23430
23460
23490
23520
23550
23580
23610
23640
23670
23700
23730
23760
23790
23820
23850
23880
23910
23940
23970
24000
24030
24060
24090
24120
24150
24180
24210
24240
24270
24300
24330
24360
24390
24420
24450
24480
24510
24540
24570
24600
24630
24660
24690
24720
24750
24780
24810

24840
24870
24900
24930
24960
24990
25020
25050
25080
25110
25140
25170
25200
25230
25260
25290
25320
25350
25380
25410
25440
25470
25500
25530
25560
25590
25620
25650
25680
25710
25740
25770
25800
25830
25860
25890
25920
25950
25980
26010
26040
26070
26100
26130
26160
26190
26220

26250
26280
26310
26340
26370
26400
26430
26460
26490
26520
26550
26580
26610
26640
26670
26700
26730
26760
26790
26820
26850
26880
26910
26940
26970
27000
27030
27060
27090
27120
27150
27180
27210
27240
27270
27300
27330
27360
27390
27420
27450
27480
27510
27540
27570
27600
27630

27660
27690
27720
27750
27780
27810
27840
27870
27900
27930
27960
27990
28020
28050
28080
28110
28140
28170
28200
28230
28260
28290
28320
28350
28380
28410
28440
28470
28500
28530
28560
28590
28620
28650
28680
28710
28740
28770
28800
28830
28860
28890
28920
28950
28980
29010
29040

29070
29100
29130
29160
29190
29220
29250
29280
29310
29340
29370
29400
29430
29460
29490
29520
29550
29580
29610
29640
29670
29700
29730
29760
29790
29820
29850
29880
29910
29940
29970
30000
30030
30060
30090
30120
30150
30180
30210
30240
30270
30300
30330
30360
30390
30420
30450

30480
30510
30540
30570
30600
30630
30660
30690
30720
30750
30780
30810
30840
30870
30900
30930
30960
30990
31020
31050
31080
31110
31140
31170
31200
31230
31260
31290
31320
31350
31380
31410
31440
31470
31500
31530
31560
31590
31620
31650
31680
31710
31740
31770
31800
31830
31860

31890
31920
31950
31980
32010
32040
32070
32100
32130
32160
32190
32220
32250
32280
32310
32340
32370
32400
32430
32460
32490
32520
32550
32580
32610
32640
32670
32700
32730
32760
32790
32820
32850
32880
32910
32940
32970
33000
33030
33060
33090
33120
33150
33180
33210
33240
33270

33300
33330
33360
33390
33420
33450
33480
33510
33540
33570
33600
33630
33660
33690
33720
33750
33780
33810
33840
33870
33900
33930
33960
33990
34020
34050
34080
34110
34140
34170
34200
34230
34260
34290
34320
34350
34380
34410
34440
34470
34500
34530
34560
34590
34620
34650
34680

34710
34740
34770
34800
34830
34860
34890
34920
34950
34980
35010
35040
35070
35100
35130
35160
35190
35220
35250
35280
35310
35340
35370
35400
35430
35460
35490
35520
35550
35580
35610
35640
35670
35700
35730
35760
35790
35820
35850
35880
35910
35940
35970
36000
36030
36060
36090

36120
36150
36180
36210
36240
36270
36300
36330
36360
36390
36420
36450
36480
36510
36540
36570
36600
36630
36660
36690
36720
36750
36780
36810
36840
36870
36900
36930
36960
36990
37020
37050
37080
37110
37140
37170
37200
37230
37260
37290
37320
37350
37380
37410
37440
37470
37500

37530
37560
37590
37620
37650
37680
37710
37740
37770
37800
37830
37860
37890
37920
37950
37980
38010
38040
38070
38100
38130
38160
38190
38220
38250
38280
38310
38340
38370
38400
38430
38460
38490
38520
38550
38580
38610
38640
38670
38700
38730
38760
38790
38820
38850
38880
38910

38940
38970
39000
39030
39060
39090
39120
39150
39180
39210
39240
39270
39300
39330
39360
39390
39420
39450
39480
39510
39540
39570
39600
39630
39660
39690
39720
39750
39780
39810
39840
39870
39900
39930
39960
39990
40020
40050
40080
40110
40140
40170
40200
40230
40260
40290
40320

40350
40380
40410
40440
40470
40500
40530
40560
40590
40620
40650
40680
40710
40740
40770
40800
40830
40860
40890
40920
40950
40980
41010
41040
41070
41100
41130
41160
41190
41220
41250
41280
41310
41340
41370
41400
41430
41460
41490
41520
41550
41580
41610
41640
41670
41700
41730

41760
41790
41820
41850
41880
41910
41940
41970
42000
42030
42060
42090
42120
42150
42180
42210
42240
42270
42300
42330
42360
42390
42420
42450
42480
42510
42540
42570
42600
42630
42660
42690
42720
42750
42780
42810
42840
42870
42900
42930
42960
42990
43020
43050
43080
43110
43140

43170
43200
43230
43260
43290
43320
43350
43380
43410
43440
43470
43500
43530
43560
43590
43620
43650
43680
43710
43740
43770
43800
43830
43860
43890
43920
43950
43980
44010
44040
44070
44100
44130
44160
44190
44220
44250
44280
44310
44340
44370
44400
44430
44460
44490
44520
44550

44580
44610
44640
44670
44700
44730
44760
44790
44820
44850
44880
44910
44940
44970
45000
45030
45060
45090
45120
45150
45180
45210
45240
45270
45300
45330
45360
45390
45420
45450
45480
45510
45540
45570
45600
45630
45660
45690
45720
45750
45780
45810
45840
45870
45900
45930
45960

45990
46020
46050
46080
46110
46140
46170
46200
46230
46260
46290
46320
46350
46380
46410
46440
46470
46500
46530
46560
46590
46620
46650
46680
46710
46740
46770
46800
46830
46860
46890
46920
46950
46980
47010
47040
47070
47100
47130
47160
47190
47220
47250
47280
47310
47340
47370

47400
47430
47460
47490
47520
47550
47580
47610
47640
47670
47700
47730
47760
47790
47820
47850
47880
47910
47940
47970
48000
48030
48060
48090
48120
48150
48180
48210
48240
48270
48300
48330
48360
48390
48420
48450
48480
48510
48540
48570
48600
48630
48660
48690
48720
48750
48780

48810
48840
48870
48900
48930
48960
48990
49020
49050
49080
49110
49140
49170
49200
49230
49260
49290
49320
49350
49380
49410
49440
49470
49500
49530
49560
49590
49620
49650
49680
49710
49740
49770
49800
49830
49860
49890
49920
49950
49980
50010
50040
50070
50100
50130
50160
50190

50220
50250
50280
50310
50340
50370
50400
50430
50460
50490
50520
50550
50580
50610
50640
50670
50700
50730
50760
50790
50820
50850
50880
50910
50940
50970
51000
51030
51060
51090
51120
51150
51180
51210
51240
51270
51300
51330
51360
51390
51420
51450
51480
51510
51540
51570
51600

51630
51660
51690
51720
51750
51780
51810
51840
51870
51900
51930
51960
51990
52020
52050
52080
52110
52140
52170
52200
52230
52260
52290
52320
52350
52380
52410
52440
52470
52500
52530
52560
52590
52620
52650
52680
52710
52740
52770
52800
52830
52860
52890
52920
52950
52980
53010

53040
53070
53100
53130
53160
53190
53220
53250
53280
53310
53340
53370
53400
53430
53460
53490
53520
53550
53580
53610
53640
53670
53700
53730
53760
53790
53820
53850
53880
53910
53940
53970
54000
54030
54060
54090
54120
54150
54180
54210
54240
54270
54300
54330
54360
54390
54420

54450
54480
54510
54540
54570
54600
54630
54660
54690
54720
54750
54780
54810
54840
54870
54900
54930
54960
54990
55020
55050
55080
55110
55140
55170
55200
55230
55260
55290
55320
55350
55380
55410
55440
55470
55500
55530
55560
55590
55620
55650
55680
55710
55740
55770
55800
55830

55860
55890
55920
55950
55980
56010
56040
56070
56100
56130
56160
56190
56220
56250
56280
56310
56340
56370
56400
56430
56460
56490
56520
56550
56580
56610
56640
56670
56700
56730
56760
56790
56820
56850
56880
56910
56940
56970
57000
57030
57060
57090
57120
57150
57180
57210
57240

57270
57300
57330
57360
57390
57420
57450
57480
57510
57540
57570
57600
57630
57660
57690
57720
57750
57780
57810
57840
57870
57900
57930
57960
57990
58020
58050
58080
58110
58140
58170
58200
58230
58260
58290
58320
58350
58380
58410
58440
58470
58500
58530
58560
58590
58620
58650

58680
58710
58740
58770
58800
58830
58860
58890
58920
58950
58980
59010
59040
59070
59100
59130
59160
59190
59220
59250
59280
59310
59340
59370
59400
59430
59460
59490
59520
59550
59580
59610
59640
59670
59700
59730
59760
59790
59820
59850
59880
59910
59940
59970
60000
60030
60060

60090
60120
60150
60180
60210
60240
60270
60300
60330
60360
60390
60420
60450
60480
60510
60540
60570
60600
60630
60660
60690
60720
60750
60780
60810
60840
60870
60900
60930
60960
60990
61020
61050
61080
61110
61140
61170
61200
61230
61260
61290
61320
61350
61380
61410
61440
61470

61500
61530
61560
61590
61620
61650
61680
61710
61740
61770
61800
61830
61860
61890
61920
61950
61980
62010
62040
62070
62100
62130
62160
62190
62220
62250
62280
62310
62340
62370
62400
62430
62460
62490
62520
62550
62580
62610
62640
62670
62700
62730
62760
62790

Duong's Model

(q/Gp) (1/day)
0,033333333
0,016025865
0,001030993
0,000506936
0,000341452
0,0002494
0,000179337
0,000162124
0,000132273
0,000116068
0,000104493
9,39805E-05
8,45281E-05
7,43583E-05
6,89494E-05
6,12077E-05
5,96957E-05
5,48843E-05
4,59045E-05
4,75852E-05
4,23049E-05
3,98961E-05
3,77589E-05
3,54111E-05
3,84106E-05
3,48749E-05
3,26805E-05
2,82628E-05
2,75996E-05
2,66503E-05
2,40374E-05

a
m
q1
q∞

4,201
1,77
3,95E+03

t(a,m)

q-Duong

0,382164283
0,132083286
0,068599872
0,042648839
0,029359698
0,021584948
0,016615725
0,013232586
0,01081743
0,009028419
0,007663406
0,006596325
0,005745085
0,005054272
0,004485334
0,004010739
0,003610385
0,003269302
0,002976144
0,002722185
0,002500614
0,002306054
0,00213421
0,001981615
0,001845448
0,001723391
0,001613523
0,001514245
0,001424214
0,001342295
0,001267524

821,64

2,33E+03
1,34E+03
1,09E+03
9,90E+02
9,38E+02
9,07E+02
8,87E+02
8,74E+02
8,64E+02
8,57E+02
8,52E+02
8,48E+02
8,44E+02
8,42E+02
8,39E+02
8,37E+02
8,36E+02
8,35E+02
8,33E+02
8,32E+02
8,32E+02
8,31E+02
8,30E+02
8,29E+02
8,29E+02
8,28E+02
8,28E+02
8,28E+02
8,27E+02
8,27E+02
8,27E+02

Avg-q
SSD
SST
R2

893,79
8,35E+06
13148631,74
0,36

Avg-Gp
SSD
SST
R2

SD-q
1,57E+05
2,01E+05
2,56E+05
2,08E+05
2,19E+05
1,74E+05
6,15E+04
1,07E+05
6,17E+04
5,43E+04
5,37E+04
4,70E+04
3,69E+04
1,84E+04
1,60E+04
4,90E+03
9,88E+03
4,91E+03
1,95E+03
4,98E+02
1,73E+03
3,37E+03
5,33E+03
9,24E+03
2,50E+01
3,15E+03
6,78E+03
2,75E+04
2,71E+04
2,94E+04
4,94E+04

ST-q

Gp-Duong (Numerical)

1084531,32
806598,58
496942,75
304566,02
262084,27
185021,85
58294,08
94745,97
47979,25
38654,84
36014,55
29175,49
20327,63
6934,73
5204,42
187,01
1722,94
116,82
10939,42
1528,16
10786,55
14663,19
18702,84
25746,88
4880,19
14752,13
21941,02
53866,54
53434,18
56751,15
83766,83

6,99E+04
1,51E+05
2,49E+05
3,68E+05
5,08E+05
6,72E+05
8,58E+05
1,07E+06
1,30E+06
1,56E+06
1,84E+06
2,14E+06
2,47E+06
2,83E+06
3,20E+06
3,61E+06
4,03E+06
4,48E+06
4,96E+06
5,46E+06
5,98E+06
6,53E+06
7,10E+06
7,70E+06
8,32E+06
8,97E+06
9,64E+06
1,03E+07
1,11E+07
1,18E+07
1,26E+07

2,3362E-05
2,34633E-05
2,48415E-05
2,38394E-05
2,22519E-05
2,03477E-05
2,1169E-05
2,00437E-05
1,97136E-05
1,93347E-05
1,83787E-05
1,83465E-05
1,55151E-05
1,58577E-05
1,51546E-05
1,54047E-05
1,52589E-05
1,47315E-05
1,4141E-05
1,34471E-05
1,38488E-05
1,44459E-05
1,21216E-05
1,38133E-05
1,35639E-05
1,41144E-05
1,20891E-05
1,19793E-05
1,08791E-05
1,05888E-05
1,07874E-05
1,03201E-05
1,0485E-05
1,03349E-05
9,20572E-06
1,02998E-05
1,03637E-05
1,02926E-05
1,00142E-05
1,0202E-05
9,86984E-06
9,46567E-06
9,62039E-06
9,24345E-06
9,18685E-06
8,63531E-06

0,001199078
0,001136249
0,001078428
0,001025087
0,000975766
0,000930063
0,000887626
0,000848146
0,000811348
0,000776991
0,000744859
0,00071476
0,000686524
0,000659996
0,00063504
0,00061153
0,000589355
0,000568415
0,000548616
0,000529877
0,000512121
0,000495279
0,000479289
0,000464092
0,000449637
0,000435875
0,000422761
0,000410255
0,000398318
0,000386917
0,000376018
0,000365592
0,000355613
0,000346053
0,000336889
0,0003281
0,000319665
0,000311565
0,000303781
0,000296297
0,000289099
0,00028217
0,000275498
0,00026907
0,000262873
0,000256897

8,26E+02
8,26E+02
8,26E+02
8,26E+02
8,25E+02
8,25E+02
8,25E+02
8,25E+02
8,25E+02
8,25E+02
8,25E+02
8,24E+02
8,24E+02
8,24E+02
8,24E+02
8,24E+02
8,24E+02
8,24E+02
8,24E+02
8,24E+02
8,24E+02
8,24E+02
8,24E+02
8,23E+02
8,23E+02
8,23E+02
8,23E+02
8,23E+02
8,23E+02
8,23E+02
8,23E+02
8,23E+02
8,23E+02
8,23E+02
8,23E+02
8,23E+02
8,23E+02
8,23E+02
8,23E+02
8,23E+02
8,23E+02
8,23E+02
8,23E+02
8,23E+02
8,23E+02
8,23E+02

5,12E+04
4,43E+04
2,54E+04
2,95E+04
4,11E+04
6,01E+04
4,41E+04
5,37E+04
5,33E+04
5,38E+04
6,33E+04
5,90E+04
1,06E+05
9,43E+04
1,04E+05
9,45E+04
9,31E+04
1,00E+05
1,09E+05
1,22E+05
1,08E+05
9,00E+04
1,44E+05
9,67E+04
9,85E+04
8,20E+04
1,28E+05
1,28E+05
1,57E+05
1,63E+05
1,53E+05
1,65E+05
1,56E+05
1,58E+05
1,94E+05
1,53E+05
1,48E+05
1,47E+05
1,53E+05
1,44E+05
1,52E+05
1,63E+05
1,55E+05
1,65E+05
1,65E+05
1,83E+05

86313,54
77390,60
51585,77
57596,00
73472,62
98423,38
77613,32
90355,35
89895,03
90555,86
102885,91
97442,83
155992,09
141796,18
154180,57
142298,70
140618,75
149144,00
160206,73
175330,63
158689,36
137041,87
202132,67
145332,50
147654,47
127276,51
183833,71
183148,34
217676,68
224636,50
213343,91
227266,73
217179,30
219203,44
261657,83
213528,71
207320,86
206350,63
213682,77
202582,51
212236,81
225490,44
215566,75
228157,48
227298,51
248726,63

1,34E+07
1,42E+07
1,50E+07
1,59E+07
1,68E+07
1,77E+07
1,86E+07
1,96E+07
2,06E+07
2,16E+07
2,26E+07
2,37E+07
2,48E+07
2,59E+07
2,70E+07
2,82E+07
2,94E+07
3,06E+07
3,18E+07
3,31E+07
3,44E+07
3,57E+07
3,70E+07
3,84E+07
3,98E+07
4,12E+07
4,26E+07
4,41E+07
4,56E+07
4,71E+07
4,86E+07
5,01E+07
5,17E+07
5,33E+07
5,50E+07
5,66E+07
5,83E+07
6,00E+07
6,17E+07
6,35E+07
6,53E+07
6,71E+07
6,89E+07
7,07E+07
7,26E+07
7,45E+07

7,28379E-06
8,61845E-06
8,17647E-06
8,38996E-06
8,23856E-06
8,35989E-06
8,06876E-06

0,000251131
0,000245565
0,00024019
0,000234997
0,000229977
0,000225124
0,000220429

8,23E+02
8,23E+02
8,23E+02
8,23E+02
8,23E+02
8,23E+02
8,23E+02

2,37E+05
1,79E+05
1,94E+05
1,83E+05
1,86E+05
1,79E+05
1,88E+05

311764,03
243830,21
261623,73
248527,18
252765,94
244027,77
255117,59

7,64E+07
7,84E+07
8,04E+07
8,24E+07
8,44E+07
8,64E+07
8,85E+07

3,56708E-05
3,54055E-05
3,51433E-05
3,48841E-05
3,46279E-05
3,43747E-05
3,41243E-05
3,38767E-05
3,3632E-05
3,339E-05
3,31507E-05
3,29141E-05
3,26802E-05
3,24488E-05
3,222E-05
3,19937E-05
3,17698E-05
3,15485E-05
3,13295E-05
3,11129E-05
3,08986E-05
3,06866E-05
3,04769E-05
3,02694E-05
3,00642E-05
2,98611E-05
2,96601E-05
2,94613E-05
2,92645E-05

821,7808926
821,7798448
821,7788091
821,7777853
821,7767734
821,775773
821,774784
821,7738063
821,7728396
821,7718838
821,7709387
821,7700042
821,7690801
821,7681662
821,7672624
821,7663686
821,7654845
821,7646101
821,7637451
821,7628896
821,7620432
821,761206
821,7603777
821,7595582
821,7587475
821,7579453
821,7571515
821,7563661
821,7555889

24653,42678
49306,82212
73960,18639
98613,51995
123266,8232
147920,0963
172573,3399
197226,5541
221879,7392
246532,8958
271186,0239
295839,124
320492,1964
345145,2414
369798,2593
394451,2504
419104,2149
443757,1532
468410,0656
493062,9522
517715,8135
542368,6497
567021,461
591674,2478
616327,0102
640979,7486
665632,4631
690285,1541
714937,8218

2,90698E-05
2,88771E-05
2,86864E-05
2,84976E-05
2,83108E-05
2,81259E-05
2,79429E-05
2,77617E-05
2,75824E-05
2,74049E-05
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821,6675834
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821,6641759

8849725,363
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9958974,22
9983624,145

6,10392E-06
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6,03715E-06
6,02064E-06
6,0042E-06
5,98783E-06
5,97153E-06
5,...


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