AQUTAB
Recognised by the OPM Flow parserPROPS
The AQUTAB keyword defines additional Carter-Tracy175 Carter, R. D., and Tracy, G. W. “An Improved Method for Calculating Water Influx.” Transactions of AIME, Vol. 219 (1060), pp 415-417. aquifer functions to be used in the model. Carter-Tracy representation of the aquifer influx is via a qw term in the non-linear aquifer influence function Q(t). It allows the water influx from the aquifer to be represented in the simulator by assuming that there is a constant water influx rate over finite time periods. It is derived from the superposition methods of van Everdingen and Hurst176 Van Everdingen, A. F., and Hurst, W. “The Application of the Laplace Transform to Flow Problems in Reservoirs.” Transactions of AIME, Vol. 186 (1949), pp. 305-324., whose superposition methods are not suitable for implementation in reservoir simulation software, although they are very useful in interpreting aquifer response. The storage requirements and calculation complexity of handling the resulting superposition formulae can be largely eliminated by use of the Carter-Tracy approximate water influx method.
Carter, R. D., and Tracy, G. W. “An Improved Method for Calculating Water Influx.” Transactions of AIME, Vol. 219 (1060), pp 415-417.
Van Everdingen, A. F., and Hurst, W. “The Application of the Laplace Transform to Flow Problems in Reservoirs.” Transactions of AIME, Vol. 186 (1949), pp. 305-324.
Notes:
The keyword is followed by NIFTBL tables as declared on the AQUDIMS keyword in the RUNSPEC section.
Each table must contain at least two complete rows with a maximum of NRIFTB rows as declared on the AQUDIMS keyword in the RUNSPEC section. Note that NRIFTB must not be less than 36 in order to accommodate the default infinite acting Carter-Tracy aquifer influence function.
Each table is terminated by a “/” and there is no “/” terminator for the keyword.
Note
OPM Flow includes the infinite acting Carter-Tracy aquifer influence table as a default for table number one; thus data entered on this keyword starts from table number two.
Table 8.19to Table 8.22outline the standard finite tables derived by van Everdingen and Hurst that are used for the Carter-Tracy analytical aquifers and are taken from Bradely177 Bradley Howard B., et al., Petroleum Engineering Handbook, Society of Petroleum Engineers (June 1989), ISBN:9781555630102. table 38-6 on page 38-12. In the tables rD is defined as the ratio of the aquifer external radius divided by hydrocarbon radius, that is:[r sub {D} ~=~ r sub{e} over {r sub{o }}]..
Bradley Howard B., et al., Petroleum Engineering Handbook, Society of Petroleum Engineers (June 1989), ISBN:9781555630102.
Carter-Tracy Aquifer Influence Functions
No.
rD = 1.5
Dimensionless
rD = 2.0
Dimensionless
rD = 2.5
Dimensionless
rD = 3.0
Dimensionless
tD
pD
tD
pD
tD
pD
tD
pD
1
0.0600
0.2510
0.2200
0.4430
0.4000
0.5650
0.5200
0.6270
2
0.0800
0.2880
0.2400
0.4590
0.4200
0.5760
0.5400
0.6360
3
0.1000
0.3220
0.2600
0.4760
0.4400
0.5870
0.5600
0.6450
4
0.1200
0.3550
0.2800
0.4920
0.4600
0.5980
0.6000
0.6620
5
0.1400
0.3870
0.3000
0.5070
0.4800
0.6080
0.6500
0.6830
6
0.1600
0.4200
0.3200
0.5220
0.5000
0.6180
0.7000
0.7030
7
0.1800
0.4520
0.3400
0.5360
0.5200
0.6280
0.7500
0.7210
8
0.2000
0.4840
0.3600
0.5510
0.5400
0.6380
0.8000
0.7400
9
0.2200
0.5160
0.3800
0.5650
0.5600
0.6470
0.8500
0.7580
10
0.2400
0.5480
0.4000
0.5790
0.5800
0.6570
0.9000
0.7760
11
0.2600
0.5800
0.4200
0.5930
0.6000
0.6660
0.9500
0.7910
12
0.2800
0.6120
0.4400
0.6070
0.6500
0.6880
1.0000
0.8060
13
0.3000
0.6440
0.4600
0.6210
0.7000
0.7100
1.2000
0.8650
14
0.3500
0.7240
0.4800
0.6340
0.7500
0.7310
1.4000
0.9200
15
0.4000
0.8040
0.5000
0.6480
0.8000
0.7520
1.6000
0.9730
16
0.4500
0.8840
0.6000
0.7150
0.8500
0.7720
2.0000
1.0760
17
0.5000
0.9640
0.7000
0.7820
0.9000
0.7920
3.0000
1.3280
18
0.5500
1.0440
0.8000
0.8490
0.9500
0.8120
4.0000
1.5780
19
0.6000
1.1240
0.9000
0.9150
1.0000
0.8320
5.0000
1.8280
20
1.0000
0.9820
2.0000
1.2150
21
2.0000
1.6490
3.0000
1.5960
22
3.0000
2.3160
4.0000
1.9770
23
5.0000
3.6490
5.0000
2.3580
Table 8.19: Carter-Tracy Aquifer Influence Functions (RD =1.5, 2.0, 2.5 and 3.0)
Carter-Tracy Aquifer Influence Functions
No.
rD = 3.5
Dimensionless
rD = 4.0
Dimensionless
rD = 4.5
Dimensionless
rD = 5.0
Dimensionless
tD
pD
tD
pD
tD
pD
tD
pD
1
1.0000
0.8020
1.5000
0.9270
2.0000
1.0230
3.0000
1.1670
2
1.1000
0.8300
1.6000
0.9480
2.1000
1.0400
3.1000
1.1800
3
1.2000
0.8570
1.7000
0.9680
2.2000
1.0560
3.2000
1.1920
4
1.3000
0.8820
1.8000
0.9880
2.3000
1.0720
3.3000
1.2040
5
1.4000
0.9060
1.9000
1.0070
2.4000
1.0870
3.4000
1.2150
6
1.5000
0.9290
2.0000
1.0250
2.5000
1.1020
3.5000
1.2270
7
1.6000
0.9510
2.2000
1.0590
2.6000
1.1160
3.6000
1.2380
8
1.7000
0.9730
2.4000
1.0920
2.7000
1.1300
3.7000
1.2490
9
1.8000
0.9940
2.6000
1.1230
2.8000
1.1440
3.8000
1.2590
10
1.9000
1.0140
2.8000
1.1540
2.9000
1.1580
3.9000
1.2700
11
2.0000
1.0340
3.0000
1.1840
3.0000
1.1710
4.0000
1.2810
12
2.2500
1.0830
3.5000
1.2550
3.2000
1.1970
4.2000
1.3010
13
2.5000
1.1300
4.0000
1.3240
3.4000
1.2220
4.4000
1.3210
14
2.7500
1.1760
4.5000
1.3920
3.6000
1.2460
4.6000
1.3400
15
3.0000
1.2210
5.0000
1.4600
3.8000
1.2690
4.8000
1.3600
16
4.0000
1.4010
5.5000
1.5270
4.0000
1.2920
5.0000
1.3780
17
5.0000
1.5790
6.0000
1.5940
4.5000
1.3490
5.5000
1.4240
18
6.0000
1.7570
6.5000
1.6600
5.0000
1.4030
6.0000
1.4690
19
7.0000
1.7270
5.5000
1.4570
6.5000
1.5130
20
8.0000
1.8610
6.0000
1.5100
7.0000
1.5560
21
9.0000
1.9940
7.0000
1.6150
7.5000
1.5980
22
10.0000
2.1270
8.0000
1.7190
8.0000
1.6410
23
9.0000
1.8230
9.0000
1.7250
24
10.0000
1.9270
10.0000
1.8080
25
11.0000
2.0310
11.0000
1.8920
26
12.0000
2.1350
12.0000
1.9750
27
13.0000
2.2390
13.0000
2.0590
28
14.0000
2.3430
14.0000
2.1420
29
15.0000
2.4470
15.0000
2.2250
Table 8.20: Carter-Tracy Aquifer Influence Functions (RD =3.5, 4.0, 4.5 and 5.0)
Carter-Tracy Aquifer Influence Functions
No.
rD = 6.0
Dimensionless
rD = 7.0
Dimensionless
rD = 8.0
Dimensionless
rD = 9.0
Dimensionless
tD
pD
tD
pD
tD
pD
tD
pD
1
4.0000
1.2750
6.0000
1.4360
8.0000
1.5560
10.0000
1.6510
2
4.5000
1.3220
6.5000
1.4700
8.5000
1.5820
10.5000
1.6730
3
5.0000
1.3640
7.0000
1.5010
9.0000
1.6070
11.0000
1.6930
4
5.5000
1.4040
7.5000
1.5310
9.5000
1.6310
11.5000
1.7130
5
6.0000
1.4410
8.0000
1.5590
10.0000
1.6530
12.0000
1.7320
6
6.5000
1.4770
8.5000
1.5860
10.5000
1.6750
12.5000
1.7500
7
7.0000
1.5110
9.0000
1.6130
11.0000
1.6970
13.0000
1.7680
8
7.5000
1.5440
9.5000
1.6380
11.5000
1.7170
13.5000
1.7860
9
8.0000
1.5760
10.0000
1.6630
12.0000
1.7370
14.0000
1.8030
10
8.5000
1.6070
11.0000
1.7110
12.5000
1.7570
14.5000
1.8190
11
9.0000
1.6380
12.0000
1.7570
13.0000
1.7760
15.0000
1.8350
12
9.5000
1.6680
13.0000
1.8010
13.5000
1.7950
15.5000
1.8510
13
10.0000
1.6980
14.0000
1.8450
14.0000
1.8130
16.0000
1.8670
14
11.0000
1.7570
15.0000
1.8880
14.5000
1.8310
17.0000
1.8970
15
12.0000
1.8150
16.0000
1.9310
15.0000
1.8490
18.0000
1.9260
16
13.0000
1.8730
17.0000
1.9740
17.0000
1.9190
19.0000
1.9550
17
14.0000
1.9310
18.0000
2.0160
19.0000
1.9860
20.0000
1.9830
18
15.0000
1.9880
19.0000
2.0580
21.0000
2.0510
22.0000
2.0370
19
16.0000
2.0450
20.0000
2.1000
23.0000
2.1160
24.0000
2.0900
20
17.0000
2.1030
22.0000
2.1840
25.0000
2.1800
26.0000
2.1420
21
18.0000
2.1600
24.0000
2.2670
30.0000
2.3400
28.0000
2.1930
22
19.0000
2.2170
26.0000
2.3510
35.0000
2.4990
30.0000
2.2440
23
20.0000
2.2740
28.0000
2.4340
40.0000
2.6580
34.0000
2.3450
24
25.0000
2.5600
30.0000
2.5170
45.0000
2.8170
38.0000
2.4460
25
30.0000
2.8460
40.0000
2.4960
26
45.0000
2.6210
27
50.0000
2.7460
Table 8.21: Carter-Tracy Aquifer Influence Functions (RD =6.0, 7.0, 8.0 and 9.0)
Carter-Tracy Aquifer Influence Functions
No.
rD = 10.0
Dimensionless
Finite Linear
Dimensionless
tD
pD
tD
pD
1
12.0000
1.7320
0.0050
0.0798
2
12.5000
1.7500
0.0100
0.1130
3
13.0000
1.7680
0.0200
0.1596
4
13.5000
1.7840
0.0600
0.2764
5
14.0000
1.8010
0.0800
0.3192
6
14.5000
1.8170
0.1000
0.3568
7
15.0000
1.8320
0.1200
0.3909
8
15.5000
1.8470
0.1600
0.4515
9
16.0000
1.8620
0.2000
0.5052
10
17.0000
1.8900
0.2400
0.5544
11
18.0000
1.9170
0.3000
0.6228
12
19.0000
1.9430
0.4000
0.7294
13
20.0000
1.9680
0.6000
0.9328
14
22.0000
2.0170
0.8000
1.1333
15
24.0000
2.0630
1.0000
1.3333
16
26.0000
2.1080
17
28.0000
2.1510
18
30.0000
2.1940
19
32.0000
2.2360
20
34.0000
2.2780
21
36.0000
2.3190
22
38.0000
2.3600
23
40.0000
2.4010
24
50.0000
2.6040
25
60.0000
2.8060
26
70.0000
3.0080
Table 8.22: Carter-Tracy Aquifer Influence Functions (RD =10 and Finite Linear)
For the finite linear Carter-Tracy influence function in Table 8.22set the inner radius of the aquifer to the length of linear aquifer and the angle of influence to[`=`360 times Width over{(2 times %pi times Length)}]on the on the AQUCT keyword in the grid section.
For reference, Table 8.23outlines the content terminal rate case for an infinite aquifer derived by van Everdingen and Hurst, that is the default table number one used for the Carter-Tracy analytical aquifers, as implemented in OPM Flow.
Carter-Tracy Infinite Radial Aquifer Influence Function (Default)
No.
Infinite
Dimensionless
No.
Infinite
Dimensionless
tD
pD
t
pD
1
1.0 x 10-2
0,1120
27
20,00
1.9600
2
5.0 x 10-2
0,2290
28
25,00
2.0670
3
1.0 x 10-1
0,3150
29
30,00
2.1470
4
1.5 x 10-1
0,3760
30
40,00
2.2820
5
2.0 x 10-1
0,4240
31
50,00
2.3880
6
2.5 x 10-1
0,4690
32
60,00
2.4760
7
3.0 x 10-1
0,5030
33
70,00
2.5500
8
4.0 x 10-1
0,5640
34
80,00
2.6150
9
5.0 x 10-1
0,6160
35
90,00
2.6720
10
6.0 x 10-1
0,6590
36
100,00
2.7230
11
7.0 x 10-1
0,7020
37
150,00
2.9210
12
8.0 x 10-1
0,7350
38
200,00
3.0640
13
9.0 x 10-1
0,7720
39
250,00
3.1730
14
1.0
0,8020
40
300,00
3.2630
15
1.5
0,9270
41
400,00
3.4060
16
2.0
1,0200
42
500,00
3.5160
17
2.5
1,1010
43
600,00
3.6080
18
3.0
1,1690
44
700,00
3.6840
19
4.0
1,2750
45
800,00
3.7500
20
5.0
1,3620
46
900,00
3.8090
21
6.0
1,4360
47
1000,00
3.8600
22
7.0
1,5000
48
2000,00
4.1801
23
8.0
1,5560
49
5000,00
4.6350
24
9.0
1,6040
50
8000,00
4.8732
25
10.0
1,6510
51
10000,00
4.9815
26
15.0
1,8290
Table 8.23: Carter-Tracy Infinite Radial Aquifer Influence Function (Default)
For an overview of analytical aquifers see Dake178 Dake, L.P. Fundamentals of Reservoir Engineering, Amsterdam, The Netherlands, Elsevier Science BV (1978) Chapter 9..
Dake, L.P. Fundamentals of Reservoir Engineering, Amsterdam, The Netherlands, Elsevier Science BV (1978) Chapter 9.
- Records
- Fixed number of records
- Variadic
- The record accepts a variable number of items
Parameters
| No. | Name | Description | Type | Dimension | Field | Metric | Lab | Default |
|---|---|---|---|---|---|---|---|---|
| 1 | DATAmanual: TD | Dimensionless Time | DOUBLE | 1, 1 | dimensionless | dimensionless | dimensionless | None |
| 2 | PD | Dimensionless Pressure | dimensionless | dimensionless | dimensionless | None |
Example
--
-- CARTER-TRACY AQUIFER INFLUENCE TABLES
-- (STARTS FROM TABLE NO. 2, AS DEFAULT IS TABLE NO. 1)
--
AQUTAB
--
-- TD PD
-- ------- ---------
0.06 0.251
0.08 0.288
0.10 0.322
0.12 0.355
0.14 0.387
0.16 0.420
0.18 0.452
0.20 0.484
0.22 0.516
0.24 0.548
0.26 0.580
0.28 0.612
0.30 0.644
0.35 0.724
0.40 0.804
0.45 0.884
0.50 0.964
0.55 1.044
0.60 1.124 / RD=1.5 TABLE NO. 02
--
-- TD PD
-- ------- ---------
0.22 0.443
0.24 0.459
0.26 0.476
0.28 0.492
0.30 0.507
0.32 0.522
0.34 0.536
0.36 0.551
0.38 0.565
0.40 0.579
0.42 0.593
0.44 0.607
0.46 0.621
0.48 0.634
0.50 0.648
0.6 0.715
0.7 0.782
0.8 0.849
0.9 0.915
1.0 0.982
2.0 1.649
3.0 2.316
5.0 3.649 / RD=2.0 TABLE NO. 03
The above example defines tables two and three Carter-Tracy aquifer influence tables.
| Note OPM Flow includes the infinite acting Carter-Tracy aquifer influence table as a default for table number one; thus data entered on this keyword starts from table number two. |
|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| Carter-Tracy Aquifer Influence Functions | | | | | | | | |
|------------------------------------------|------------------------|------------------------|------------------------|------------------------|--------|--------|--------|--------|
| No. | rD = 1.5 Dimensionless | rD = 2.0 Dimensionless | rD = 2.5 Dimensionless | rD = 3.0 Dimensionless | | | | |
| tD | pD | tD | pD | tD | pD | tD | pD | |
| 1 | 0.0600 | 0.2510 | 0.2200 | 0.4430 | 0.4000 | 0.5650 | 0.5200 | 0.6270 |
| 2 | 0.0800 | 0.2880 | 0.2400 | 0.4590 | 0.4200 | 0.5760 | 0.5400 | 0.6360 |
| 3 | 0.1000 | 0.3220 | 0.2600 | 0.4760 | 0.4400 | 0.5870 | 0.5600 | 0.6450 |
| 4 | 0.1200 | 0.3550 | 0.2800 | 0.4920 | 0.4600 | 0.5980 | 0.6000 | 0.6620 |
| 5 | 0.1400 | 0.3870 | 0.3000 | 0.5070 | 0.4800 | 0.6080 | 0.6500 | 0.6830 |
| 6 | 0.1600 | 0.4200 | 0.3200 | 0.5220 | 0.5000 | 0.6180 | 0.7000 | 0.7030 |
| 7 | 0.1800 | 0.4520 | 0.3400 | 0.5360 | 0.5200 | 0.6280 | 0.7500 | 0.7210 |
| 8 | 0.2000 | 0.4840 | 0.3600 | 0.5510 | 0.5400 | 0.6380 | 0.8000 | 0.7400 |
| 9 | 0.2200 | 0.5160 | 0.3800 | 0.5650 | 0.5600 | 0.6470 | 0.8500 | 0.7580 |
| 10 | 0.2400 | 0.5480 | 0.4000 | 0.5790 | 0.5800 | 0.6570 | 0.9000 | 0.7760 |
| 11 | 0.2600 | 0.5800 | 0.4200 | 0.5930 | 0.6000 | 0.6660 | 0.9500 | 0.7910 |
| 12 | 0.2800 | 0.6120 | 0.4400 | 0.6070 | 0.6500 | 0.6880 | 1.0000 | 0.8060 |
| 13 | 0.3000 | 0.6440 | 0.4600 | 0.6210 | 0.7000 | 0.7100 | 1.2000 | 0.8650 |
| 14 | 0.3500 | 0.7240 | 0.4800 | 0.6340 | 0.7500 | 0.7310 | 1.4000 | 0.9200 |
| 15 | 0.4000 | 0.8040 | 0.5000 | 0.6480 | 0.8000 | 0.7520 | 1.6000 | 0.9730 |
| 16 | 0.4500 | 0.8840 | 0.6000 | 0.7150 | 0.8500 | 0.7720 | 2.0000 | 1.0760 |
| 17 | 0.5000 | 0.9640 | 0.7000 | 0.7820 | 0.9000 | 0.7920 | 3.0000 | 1.3280 |
| 18 | 0.5500 | 1.0440 | 0.8000 | 0.8490 | 0.9500 | 0.8120 | 4.0000 | 1.5780 |
| 19 | 0.6000 | 1.1240 | 0.9000 | 0.9150 | 1.0000 | 0.8320 | 5.0000 | 1.8280 |
| 20 | | | 1.0000 | 0.9820 | 2.0000 | 1.2150 | | |
| 21 | | | 2.0000 | 1.6490 | 3.0000 | 1.5960 | | |
| 22 | | | 3.0000 | 2.3160 | 4.0000 | 1.9770 | | |
| 23 | | | 5.0000 | 3.6490 | 5.0000 | 2.3580 | | |
| Carter-Tracy Aquifer Influence Functions | | | | | | | | |
|------------------------------------------|------------------------|------------------------|------------------------|------------------------|---------|--------|---------|--------|
| No. | rD = 3.5 Dimensionless | rD = 4.0 Dimensionless | rD = 4.5 Dimensionless | rD = 5.0 Dimensionless | | | | |
| tD | pD | tD | pD | tD | pD | tD | pD | |
| 1 | 1.0000 | 0.8020 | 1.5000 | 0.9270 | 2.0000 | 1.0230 | 3.0000 | 1.1670 |
| 2 | 1.1000 | 0.8300 | 1.6000 | 0.9480 | 2.1000 | 1.0400 | 3.1000 | 1.1800 |
| 3 | 1.2000 | 0.8570 | 1.7000 | 0.9680 | 2.2000 | 1.0560 | 3.2000 | 1.1920 |
| 4 | 1.3000 | 0.8820 | 1.8000 | 0.9880 | 2.3000 | 1.0720 | 3.3000 | 1.2040 |
| 5 | 1.4000 | 0.9060 | 1.9000 | 1.0070 | 2.4000 | 1.0870 | 3.4000 | 1.2150 |
| 6 | 1.5000 | 0.9290 | 2.0000 | 1.0250 | 2.5000 | 1.1020 | 3.5000 | 1.2270 |
| 7 | 1.6000 | 0.9510 | 2.2000 | 1.0590 | 2.6000 | 1.1160 | 3.6000 | 1.2380 |
| 8 | 1.7000 | 0.9730 | 2.4000 | 1.0920 | 2.7000 | 1.1300 | 3.7000 | 1.2490 |
| 9 | 1.8000 | 0.9940 | 2.6000 | 1.1230 | 2.8000 | 1.1440 | 3.8000 | 1.2590 |
| 10 | 1.9000 | 1.0140 | 2.8000 | 1.1540 | 2.9000 | 1.1580 | 3.9000 | 1.2700 |
| 11 | 2.0000 | 1.0340 | 3.0000 | 1.1840 | 3.0000 | 1.1710 | 4.0000 | 1.2810 |
| 12 | 2.2500 | 1.0830 | 3.5000 | 1.2550 | 3.2000 | 1.1970 | 4.2000 | 1.3010 |
| 13 | 2.5000 | 1.1300 | 4.0000 | 1.3240 | 3.4000 | 1.2220 | 4.4000 | 1.3210 |
| 14 | 2.7500 | 1.1760 | 4.5000 | 1.3920 | 3.6000 | 1.2460 | 4.6000 | 1.3400 |
| 15 | 3.0000 | 1.2210 | 5.0000 | 1.4600 | 3.8000 | 1.2690 | 4.8000 | 1.3600 |
| 16 | 4.0000 | 1.4010 | 5.5000 | 1.5270 | 4.0000 | 1.2920 | 5.0000 | 1.3780 |
| 17 | 5.0000 | 1.5790 | 6.0000 | 1.5940 | 4.5000 | 1.3490 | 5.5000 | 1.4240 |
| 18 | 6.0000 | 1.7570 | 6.5000 | 1.6600 | 5.0000 | 1.4030 | 6.0000 | 1.4690 |
| 19 | | | 7.0000 | 1.7270 | 5.5000 | 1.4570 | 6.5000 | 1.5130 |
| 20 | | | 8.0000 | 1.8610 | 6.0000 | 1.5100 | 7.0000 | 1.5560 |
| 21 | | | 9.0000 | 1.9940 | 7.0000 | 1.6150 | 7.5000 | 1.5980 |
| 22 | | | 10.0000 | 2.1270 | 8.0000 | 1.7190 | 8.0000 | 1.6410 |
| 23 | | | | | 9.0000 | 1.8230 | 9.0000 | 1.7250 |
| 24 | | | | | 10.0000 | 1.9270 | 10.0000 | 1.8080 |
| 25 | | | | | 11.0000 | 2.0310 | 11.0000 | 1.8920 |
| 26 | | | | | 12.0000 | 2.1350 | 12.0000 | 1.9750 |
| 27 | | | | | 13.0000 | 2.2390 | 13.0000 | 2.0590 |
| 28 | | | | | 14.0000 | 2.3430 | 14.0000 | 2.1420 |
| 29 | | | | | 15.0000 | 2.4470 | 15.0000 | 2.2250 |
| Carter-Tracy Aquifer Influence Functions | | | | | | | | |
|------------------------------------------|------------------------|------------------------|------------------------|------------------------|---------|--------|---------|--------|
| No. | rD = 6.0 Dimensionless | rD = 7.0 Dimensionless | rD = 8.0 Dimensionless | rD = 9.0 Dimensionless | | | | |
| tD | pD | tD | pD | tD | pD | tD | pD | |
| 1 | 4.0000 | 1.2750 | 6.0000 | 1.4360 | 8.0000 | 1.5560 | 10.0000 | 1.6510 |
| 2 | 4.5000 | 1.3220 | 6.5000 | 1.4700 | 8.5000 | 1.5820 | 10.5000 | 1.6730 |
| 3 | 5.0000 | 1.3640 | 7.0000 | 1.5010 | 9.0000 | 1.6070 | 11.0000 | 1.6930 |
| 4 | 5.5000 | 1.4040 | 7.5000 | 1.5310 | 9.5000 | 1.6310 | 11.5000 | 1.7130 |
| 5 | 6.0000 | 1.4410 | 8.0000 | 1.5590 | 10.0000 | 1.6530 | 12.0000 | 1.7320 |
| 6 | 6.5000 | 1.4770 | 8.5000 | 1.5860 | 10.5000 | 1.6750 | 12.5000 | 1.7500 |
| 7 | 7.0000 | 1.5110 | 9.0000 | 1.6130 | 11.0000 | 1.6970 | 13.0000 | 1.7680 |
| 8 | 7.5000 | 1.5440 | 9.5000 | 1.6380 | 11.5000 | 1.7170 | 13.5000 | 1.7860 |
| 9 | 8.0000 | 1.5760 | 10.0000 | 1.6630 | 12.0000 | 1.7370 | 14.0000 | 1.8030 |
| 10 | 8.5000 | 1.6070 | 11.0000 | 1.7110 | 12.5000 | 1.7570 | 14.5000 | 1.8190 |
| 11 | 9.0000 | 1.6380 | 12.0000 | 1.7570 | 13.0000 | 1.7760 | 15.0000 | 1.8350 |
| 12 | 9.5000 | 1.6680 | 13.0000 | 1.8010 | 13.5000 | 1.7950 | 15.5000 | 1.8510 |
| 13 | 10.0000 | 1.6980 | 14.0000 | 1.8450 | 14.0000 | 1.8130 | 16.0000 | 1.8670 |
| 14 | 11.0000 | 1.7570 | 15.0000 | 1.8880 | 14.5000 | 1.8310 | 17.0000 | 1.8970 |
| 15 | 12.0000 | 1.8150 | 16.0000 | 1.9310 | 15.0000 | 1.8490 | 18.0000 | 1.9260 |
| 16 | 13.0000 | 1.8730 | 17.0000 | 1.9740 | 17.0000 | 1.9190 | 19.0000 | 1.9550 |
| 17 | 14.0000 | 1.9310 | 18.0000 | 2.0160 | 19.0000 | 1.9860 | 20.0000 | 1.9830 |
| 18 | 15.0000 | 1.9880 | 19.0000 | 2.0580 | 21.0000 | 2.0510 | 22.0000 | 2.0370 |
| 19 | 16.0000 | 2.0450 | 20.0000 | 2.1000 | 23.0000 | 2.1160 | 24.0000 | 2.0900 |
| 20 | 17.0000 | 2.1030 | 22.0000 | 2.1840 | 25.0000 | 2.1800 | 26.0000 | 2.1420 |
| 21 | 18.0000 | 2.1600 | 24.0000 | 2.2670 | 30.0000 | 2.3400 | 28.0000 | 2.1930 |
| 22 | 19.0000 | 2.2170 | 26.0000 | 2.3510 | 35.0000 | 2.4990 | 30.0000 | 2.2440 |
| 23 | 20.0000 | 2.2740 | 28.0000 | 2.4340 | 40.0000 | 2.6580 | 34.0000 | 2.3450 |
| 24 | 25.0000 | 2.5600 | 30.0000 | 2.5170 | 45.0000 | 2.8170 | 38.0000 | 2.4460 |
| 25 | 30.0000 | 2.8460 | | | | | 40.0000 | 2.4960 |
| 26 | | | | | | | 45.0000 | 2.6210 |
| 27 | | | | | | | 50.0000 | 2.7460 |
| Carter-Tracy Aquifer Influence Functions | | | | |
|------------------------------------------|-------------------------|-----------------------------|--------|--------|
| No. | rD = 10.0 Dimensionless | Finite Linear Dimensionless | | |
| tD | pD | tD | pD | |
| 1 | 12.0000 | 1.7320 | 0.0050 | 0.0798 |
| 2 | 12.5000 | 1.7500 | 0.0100 | 0.1130 |
| 3 | 13.0000 | 1.7680 | 0.0200 | 0.1596 |
| 4 | 13.5000 | 1.7840 | 0.0600 | 0.2764 |
| 5 | 14.0000 | 1.8010 | 0.0800 | 0.3192 |
| 6 | 14.5000 | 1.8170 | 0.1000 | 0.3568 |
| 7 | 15.0000 | 1.8320 | 0.1200 | 0.3909 |
| 8 | 15.5000 | 1.8470 | 0.1600 | 0.4515 |
| 9 | 16.0000 | 1.8620 | 0.2000 | 0.5052 |
| 10 | 17.0000 | 1.8900 | 0.2400 | 0.5544 |
| 11 | 18.0000 | 1.9170 | 0.3000 | 0.6228 |
| 12 | 19.0000 | 1.9430 | 0.4000 | 0.7294 |
| 13 | 20.0000 | 1.9680 | 0.6000 | 0.9328 |
| 14 | 22.0000 | 2.0170 | 0.8000 | 1.1333 |
| 15 | 24.0000 | 2.0630 | 1.0000 | 1.3333 |
| 16 | 26.0000 | 2.1080 | | |
| 17 | 28.0000 | 2.1510 | | |
| 18 | 30.0000 | 2.1940 | | |
| 19 | 32.0000 | 2.2360 | | |
| 20 | 34.0000 | 2.2780 | | |
| 21 | 36.0000 | 2.3190 | | |
| 22 | 38.0000 | 2.3600 | | |
| 23 | 40.0000 | 2.4010 | | |
| 24 | 50.0000 | 2.6040 | | |
| 25 | 60.0000 | 2.8060 | | |
| 26 | 70.0000 | 3.0080 | | |
| Carter-Tracy Infinite Radial Aquifer Influence Function (Default) | | | | | |
|-------------------------------------------------------------------|------------------------|--------|------------------------|----------|--------|
| No. | Infinite Dimensionless | No. | Infinite Dimensionless | | |
| tD | pD | t | pD | | |
| 1 | 1.0 x 10-2 | 0,1120 | 27 | 20,00 | 1.9600 |
| 2 | 5.0 x 10-2 | 0,2290 | 28 | 25,00 | 2.0670 |
| 3 | 1.0 x 10-1 | 0,3150 | 29 | 30,00 | 2.1470 |
| 4 | 1.5 x 10-1 | 0,3760 | 30 | 40,00 | 2.2820 |
| 5 | 2.0 x 10-1 | 0,4240 | 31 | 50,00 | 2.3880 |
| 6 | 2.5 x 10-1 | 0,4690 | 32 | 60,00 | 2.4760 |
| 7 | 3.0 x 10-1 | 0,5030 | 33 | 70,00 | 2.5500 |
| 8 | 4.0 x 10-1 | 0,5640 | 34 | 80,00 | 2.6150 |
| 9 | 5.0 x 10-1 | 0,6160 | 35 | 90,00 | 2.6720 |
| 10 | 6.0 x 10-1 | 0,6590 | 36 | 100,00 | 2.7230 |
| 11 | 7.0 x 10-1 | 0,7020 | 37 | 150,00 | 2.9210 |
| 12 | 8.0 x 10-1 | 0,7350 | 38 | 200,00 | 3.0640 |
| 13 | 9.0 x 10-1 | 0,7720 | 39 | 250,00 | 3.1730 |
| 14 | 1.0 | 0,8020 | 40 | 300,00 | 3.2630 |
| 15 | 1.5 | 0,9270 | 41 | 400,00 | 3.4060 |
| 16 | 2.0 | 1,0200 | 42 | 500,00 | 3.5160 |
| 17 | 2.5 | 1,1010 | 43 | 600,00 | 3.6080 |
| 18 | 3.0 | 1,1690 | 44 | 700,00 | 3.6840 |
| 19 | 4.0 | 1,2750 | 45 | 800,00 | 3.7500 |
| 20 | 5.0 | 1,3620 | 46 | 900,00 | 3.8090 |
| 21 | 6.0 | 1,4360 | 47 | 1000,00 | 3.8600 |
| 22 | 7.0 | 1,5000 | 48 | 2000,00 | 4.1801 |
| 23 | 8.0 | 1,5560 | 49 | 5000,00 | 4.6350 |
| 24 | 9.0 | 1,6040 | 50 | 8000,00 | 4.8732 |
| 25 | 10.0 | 1,6510 | 51 | 10000,00 | 4.9815 |
| 26 | 15.0 | 1,8290 | | | |Manual source: parts/chapters/subsections/8.3/AQUTAB.fodt