Study on baltim field,b.sc graduation project 2015, by atam team

“What we like about petroleum engineering is that it doesn’t just cover math and science, but also
brings in politics and economics. We think it’s exciting you can cover so many interesting subjects
in one career.”
Petroleum engineering is a field of engineering con-
cerned with the activities related to the production of
hydrocarbons, which can be either crude oil or natural
gas. Exploration and Production are deemed to fall
within the upstream sector of the oil and gas industry.
Petroleum engineering requires a good knowledge of
many other related disciplines, such as geophysics,
geology, formation evaluation (well logging), drilling,
economics, reservoir simulation, reservoir
engineering, well engineering, artificial lift systems,
completions and oil and gas facilities engineering.
With advances in technology, petroleum engineers
also need to develop an understanding of how to use
advanced computer systems for simulation and anal-
ysis of reservoir behavior as well as automation or
drilling operations and oil field production activities. It
comes as no surprise that petroleum companies own
a large number of the super computers all across the
world.
Petroleum engineers carry out a myriad of tasks
including testing, designing and implementing
methods for the extraction of petroleum products
from the surface of the earth as well as the ocean
floor. To begin with, petroleum engineers need to
locate a suitable dig site. This is followed by the
setting up of the required machinery. Engineers must
overlook the extraction process which includes the
removal as well as processing of petroleum.
Petroleum engineers must have the expertise and
ability to work closely with geologists and other
professionals to extract and refine petroleum
products in a safe and efficient manner.

125
Section III | Well logging
Study on Baltim East Field BS.C Graduation Project 15
Some of modern logging tools

136
3.11.3.5 Readings from the attached logs and our quantitative interpretation:-
Depth GR ∅ 𝒏 ∆𝝆 𝒃 PEF 𝝆 𝒃 𝝆 𝒃 𝒄𝒐𝒓𝒓 ∅ 𝒅 Ish tertiary stieber claver older Min
ΦN
corr.
ΦD
corr
phi eff F
m
API
unit
% g/cc - g/cc g/cc % % % % % % % % % % -
3764.58 23.67 83.64 0.065 4.94 2.58 2.64 3.81 0.237 0.070 0.094 0.118 0.128 0.070 82.69 1.96 58.49 0.029
3763.98 23.67 83.64 0.025 4.94 2.54 2.56 8.77 0.237 0.070 0.094 0.118 0.128 0.070 82.69 6.91 58.68 0.029
3763.06 23.67 83.68 0.011 6.26 2.50 2.51 11.84 0.237 0.070 0.094 0.118 0.128 0.070 82.74 9.98 58.93 0.029
3762.91 23.67 83.69 0.009 6.39 2.50 2.51 11.96 0.237 0.070 0.094 0.118 0.128 0.070 82.74 10.11 58.94 0.029
3761.99 23.67 83.67 0.013 6.32 2.51 2.52 11.13 0.237 0.070 0.094 0.118 0.128 0.070 82.73 9.28 58.87 0.029
3760.93 23.67 83.64 0.009 6.35 2.50 2.51 11.61 0.237 0.070 0.094 0.118 0.128 0.070 82.69 9.76 58.88 0.029
3759.86 23.67 83.41 0.041 7.88 2.40 2.44 15.60 0.237 0.070 0.094 0.118 0.128 0.070 82.47 13.74 59.12 0.029
3758.95 23.67 83.34 0.004 4.33 2.44 2.45 15.50 0.237 0.070 0.094 0.118 0.128 0.070 82.39 13.64 59.06 0.029
3757.88 23.67 38.52 0.012 4.61 2.43 2.44 15.94 0.237 0.070 0.094 0.118 0.128 0.070 37.58 14.08 28.38 0.124
3756.96 23.67 40.48 0.031 4.84 2.42 2.45 15.00 0.237 0.070 0.094 0.118 0.128 0.070 39.53 13.15 29.46 0.115
3755.90 23.67 41.53 0.045 6.06 2.41 2.45 15.06 0.237 0.070 0.094 0.118 0.128 0.070 40.58 13.21 30.18 0.110
3754.98 23.67 40.75 0.010 4.83 2.44 2.45 15.25 0.237 0.070 0.094 0.118 0.128 0.070 39.81 13.39 29.70 0.113
3753.92 23.67 20.12 0.001 4.33 2.28 2.28 25.26 0.237 0.070 0.094 0.118 0.128 0.070 19.17 23.40 21.39 0.218
3752.85 23.67 20.38 0.001 3.28 2.30 2.30 23.85 0.237 0.070 0.094 0.118 0.128 0.070 19.44 22.00 20.76 0.232
3751.94 23.67 17.79 0.003 3.61 2.33 2.33 22.18 0.237 0.070 0.094 0.118 0.128 0.070 16.84 20.33 18.67 0.287
3750.87 23.67 16.02 -0.006 3.69 2.31 2.30 23.84 0.237 0.070 0.094 0.118 0.128 0.070 15.08 21.99 18.85 0.281
3749.95 23.67 18.10 0.001 3.64 2.26 2.26 26.16 0.237 0.070 0.094 0.118 0.128 0.070 17.16 24.30 21.04 0.226
3748.89 23.67 15.18 0.010 3.24 2.43 2.44 16.08 0.237 0.070 0.094 0.118 0.128 0.070 14.24 14.22 14.23 0.494
3747.97 23.67 19.02 -0.004 3.31 2.33 2.33 22.32 0.237 0.070 0.094 0.118 0.128 0.070 18.08 20.46 19.31 0.268
3746.91 23.67 22.55 -0.006 2.81 2.26 2.25 26.77 0.237 0.070 0.094 0.118 0.128 0.070 21.61 24.91 23.32 0.184
3745.99 23.67 22.21 -0.009 2.70 2.25 2.24 27.43 0.237 0.070 0.094 0.118 0.128 0.070 21.26 25.58 23.52 0.181
3744.93 23.67 19.67 0.003 2.73 2.25 2.25 26.84 0.237 0.070 0.094 0.118 0.128 0.070 18.72 24.99 22.08 0.205
3743.86 23.67 20.22 -0.006 2.66 2.25 2.24 27.27 0.237 0.070 0.094 0.118 0.128 0.070 19.28 25.42 22.56 0.196
3742.94 23.67 19.77 -0.003 2.43 2.25 2.25 27.19 0.237 0.070 0.094 0.118 0.128 0.070 18.83 25.34 22.32 0.201
3741.88 23.61 16.83 -0.005 2.71 2.28 2.28 25.13 0.236 0.069 0.093 0.118 0.128 0.069 15.89 23.28 19.93 0.252
3740.96 22.31 16.94 -0.012 2.51 2.28 2.27 25.82 0.223 0.064 0.087 0.110 0.120 0.064 16.07 24.11 20.49 0.238
3739.90 24.61 18.23 -0.010 2.74 2.27 2.26 26.42 0.246 0.073 0.098 0.124 0.134 0.073 17.23 24.46 21.16 0.223
3738.98 27.70 17.37 -0.007 2.46 2.30 2.29 24.60 0.277 0.086 0.113 0.143 0.154 0.086 16.20 22.31 19.49 0.263
3737.91 29.57 19.06 -0.002 2.64 2.30 2.30 23.83 0.296 0.095 0.123 0.155 0.167 0.095 17.78 21.31 19.62 0.260
3736.85 22.95 16.98 -0.005 2.80 2.30 2.29 24.57 0.229 0.067 0.090 0.114 0.124 0.067 16.08 22.79 19.72 0.257
3735.93 25.71 17.38 -0.006 2.47 2.32 2.31 23.16 0.257 0.078 0.103 0.130 0.141 0.078 16.32 21.09 18.86 0.281
3734.87 23.56 19.53 -0.002 2.54 2.31 2.31 23.56 0.236 0.069 0.093 0.117 0.127 0.069 18.59 21.72 20.22 0.245
3733.95 25.67 18.26 -0.014 2.75 2.33 2.32 22.89 0.257 0.078 0.103 0.130 0.141 0.078 17.21 20.82 19.10 0.274
3732.89 26.74 19.45 -0.002 2.74 2.31 2.31 23.57 0.267 0.082 0.108 0.137 0.148 0.082 18.34 21.38 19.92 0.252
3731.97 22.09 20.12 -0.001 2.61 2.28 2.28 25.24 0.221 0.063 0.086 0.109 0.118 0.063 19.26 23.55 21.51 0.216
3730.90 25.03 19.76 -0.002 2.49 2.27 2.27 26.01 0.250 0.075 0.100 0.126 0.137 0.075 18.74 24.01 21.54 0.216
3729.99 20.64 19.11 -0.004 2.59 2.30 2.30 24.11 0.206 0.058 0.080 0.101 0.109 0.058 18.33 22.56 20.55 0.237
3728.92 30.99 21.62 -0.002 2.92 2.36 2.36 20.53 0.310 0.101 0.130 0.164 0.177 0.101 20.24 17.83 19.08 0.275
3727.86 29.06 19.18 0.001 2.95 2.35 2.36 20.72 0.291 0.092 0.120 0.151 0.164 0.092 17.93 18.26 18.10 0.305

137
ΦN
corr.
ΦD
corr
phi eff F
3726.94 30.98 21.23 -0.004 3.08 2.34 2.33 22.04 0.310 0.101 0.130 0.164 0.177 0.101 19.86 19.34 19.60 0.260
3725.88 26.12 22.08 -0.004 2.77 2.30 2.30 24.15 0.261 0.079 0.105 0.133 0.144 0.079 21.00 22.03 21.52 0.216
3724.96 30.84 23.67 -0.003 2.95 2.31 2.31 23.51 0.308 0.100 0.129 0.163 0.176 0.100 22.30 20.84 21.58 0.215
3723.89 23.36 20.22 0.004 2.88 2.32 2.32 22.78 0.234 0.068 0.092 0.116 0.126 0.068 19.29 20.96 20.14 0.246
3722.98 25.01 23.65 0.008 3.05 2.33 2.33 22.02 0.250 0.075 0.100 0.126 0.137 0.075 22.63 20.02 21.37 0.219
3721.91 28.37 24.09 0.000 3.36 2.25 2.25 26.98 0.284 0.089 0.117 0.147 0.159 0.089 22.88 24.61 23.76 0.177
3721.00 26.52 22.16 0.005 3.10 2.23 2.23 27.95 0.265 0.081 0.107 0.135 0.147 0.081 21.06 25.79 23.54 0.180
3719.93 29.78 22.08 0.002 3.60 2.26 2.26 26.47 0.298 0.096 0.124 0.156 0.169 0.096 20.78 23.92 22.41 0.199
3718.86 40.76 24.77 -0.004 3.12 2.31 2.30 23.79 0.408 0.154 0.187 0.233 0.251 0.154 22.68 19.69 21.24 0.222
3717.95 33.13 22.01 -0.007 3.12 2.34 2.33 22.08 0.331 0.112 0.142 0.178 0.192 0.112 20.50 19.10 19.81 0.255
3716.88 37.06 25.21 -0.003 3.25 2.33 2.33 22.40 0.371 0.132 0.164 0.205 0.222 0.132 23.42 18.88 21.27 0.221
3715.97 50.42 26.64 -0.001 3.57 2.42 2.42 16.89 0.504 0.221 0.253 0.311 0.334 0.221 23.65 11.02 18.45 0.294
3714.90 44.54 25.56 0.005 3.12 2.31 2.32 22.94 0.445 0.178 0.211 0.262 0.282 0.178 23.15 18.20 20.82 0.231
3713.99 38.82 24.26 -0.007 3.20 2.29 2.28 25.21 0.388 0.142 0.175 0.218 0.235 0.142 22.34 21.42 21.88 0.209
3712.92 47.11 26.21 -0.002 3.62 2.36 2.35 20.78 0.471 0.196 0.229 0.283 0.304 0.196 23.56 15.57 19.97 0.251
3711.85 51.18 25.83 0.006 4.69 2.46 2.47 14.19 0.512 0.226 0.259 0.317 0.341 0.226 22.76 8.15 17.10 0.342
3710.94 48.67 23.88 0.003 3.81 2.47 2.47 14.09 0.487 0.207 0.240 0.296 0.318 0.207 21.07 8.57 16.08 0.387
3709.87 47.19 26.00 -0.001 3.46 2.41 2.41 17.53 0.472 0.196 0.230 0.283 0.305 0.196 23.34 12.30 18.65 0.287
3708.96 36.17 27.16 0.032 4.30 2.36 2.40 18.35 0.362 0.127 0.159 0.199 0.215 0.127 25.43 14.96 20.86 0.230
3707.89 44.92 26.07 -0.004 3.49 2.41 2.41 17.61 0.449 0.180 0.214 0.265 0.285 0.180 23.62 12.81 19.00 0.277
3706.98 48.36 24.70 -0.001 4.25 2.43 2.43 16.44 0.484 0.205 0.238 0.293 0.315 0.205 21.92 10.99 17.34 0.333
3705.91 44.89 25.15 0.002 3.57 2.36 2.36 20.37 0.449 0.180 0.214 0.265 0.285 0.180 22.71 15.57 19.47 0.264
3705.00 49.15 25.96 0.003 3.64 2.37 2.37 19.61 0.491 0.211 0.244 0.300 0.322 0.211 23.10 13.99 19.10 0.274
3703.93 44.95 23.76 0.003 3.86 2.46 2.47 14.29 0.450 0.181 0.214 0.265 0.285 0.181 21.31 9.48 16.49 0.368
3702.86 52.40 24.56 -0.003 3.62 2.39 2.39 18.84 0.524 0.236 0.268 0.328 0.352 0.236 21.35 12.54 17.51 0.326
3701.95 46.76 23.88 -0.009 3.89 2.40 2.39 18.65 0.468 0.193 0.226 0.280 0.301 0.193 21.26 13.51 17.81 0.315
3700.88 51.25 25.39 0.009 3.40 2.36 2.37 20.16 0.513 0.227 0.259 0.318 0.342 0.227 22.31 14.11 18.67 0.287
3699.97 41.86 25.84 0.000 3.54 2.34 2.34 21.47 0.419 0.161 0.194 0.241 0.260 0.161 23.66 17.20 20.68 0.234
3698.75 51.47 25.42 -0.001 4.06 2.41 2.41 17.65 0.515 0.229 0.261 0.320 0.344 0.229 22.32 11.56 17.77 0.317
3697.99 47.98 21.81 0.003 3.70 2.43 2.44 16.02 0.480 0.202 0.235 0.290 0.312 0.202 19.07 10.64 15.44 0.419
3696.92 55.53 25.77 -0.009 4.00 2.46 2.45 15.30 0.555 0.263 0.294 0.357 0.383 0.263 22.20 8.30 16.76 0.356
3695.85 77.24 27.66 0.005 3.97 2.50 2.51 11.85 0.772 0.522 0.531 0.599 0.633 0.522 20.58 -2.05 14.62 0.468
3694.94 48.98 23.05 -0.002 3.74 2.49 2.49 12.90 0.490 0.209 0.242 0.298 0.321 0.209 20.21 7.32 15.20 0.433
3693.87 71.31 26.70 0.005 3.85 2.54 2.54 9.70 0.713 0.436 0.453 0.524 0.557 0.436 20.78 -1.93 14.76 0.459
3692.96 63.06 26.77 0.002 4.04 2.48 2.48 13.19 0.631 0.337 0.363 0.431 0.461 0.337 22.19 4.21 15.97 0.392
3691.89 53.51 25.34 -0.005 3.83 2.47 2.46 14.58 0.535 0.246 0.277 0.338 0.363 0.246 22.01 8.04 16.57 0.364
3690.98 50.82 23.72 0.001 4.61 2.54 2.54 10.06 0.508 0.224 0.256 0.314 0.338 0.224 20.69 4.10 14.91 0.450
3689.91 53.99 26.97 -0.004 4.14 2.50 2.49 12.60 0.540 0.250 0.281 0.343 0.367 0.250 23.58 5.95 17.20 0.338
3688.99 63.76 28.10 0.006 4.27 2.58 2.58 7.35 0.638 0.345 0.370 0.439 0.469 0.345 23.42 -1.83 16.61 0.362
3687.93 59.01 23.89 0.003 4.26 2.56 2.56 8.63 0.590 0.296 0.324 0.390 0.418 0.296 19.88 0.76 14.07 0.505
3686.86 55.02 23.89 -0.005 3.87 2.40 2.40 18.30 0.550 0.259 0.290 0.352 0.378 0.259 20.38 11.42 16.52 0.367
3685.95 62.43 28.27 0.000 4.39 2.36 2.36 20.51 0.624 0.330 0.356 0.425 0.454 0.330 23.79 11.71 18.75 0.284

138
ΦN
corr.
ΦD
corr
phi eff F
3684.88 64.41 29.68 -0.001 3.87 2.53 2.53 10.53 0.644 0.352 0.376 0.446 0.476 0.352 24.90 1.15 17.63 0.322
3683.97 58.63 26.50 -0.004 3.79 2.40 2.40 18.42 0.586 0.292 0.321 0.386 0.414 0.292 22.54 10.64 17.62 0.322
3682.90 46.49 22.78 0.004 4.50 2.43 2.43 16.37 0.465 0.191 0.225 0.278 0.299 0.191 20.19 11.27 16.35 0.374
3681.98 60.71 25.85 -0.002 3.95 2.41 2.41 17.51 0.607 0.312 0.340 0.407 0.436 0.312 21.62 9.19 16.61 0.363
3680.92 59.42 26.86 -0.003 4.29 2.55 2.55 9.64 0.594 0.300 0.328 0.394 0.422 0.300 22.80 1.66 16.16 0.383
3679.85 62.24 27.28 0.010 4.05 2.58 2.59 7.19 0.622 0.328 0.355 0.423 0.452 0.328 22.82 -1.55 16.18 0.382
3678.94 59.26 29.06 -0.001 3.77 2.57 2.57 8.19 0.593 0.298 0.327 0.393 0.420 0.298 25.02 0.26 17.69 0.320
3677.87 58.02 24.65 0.006 4.06 2.57 2.57 8.08 0.580 0.286 0.315 0.381 0.408 0.286 20.77 0.46 14.69 0.463
3676.95 60.55 27.09 0.000 3.68 2.54 2.54 10.05 0.605 0.311 0.338 0.406 0.434 0.311 22.87 1.77 16.22 0.380
3675.89 49.48 22.54 -0.003 3.78 2.45 2.45 15.27 0.495 0.213 0.246 0.303 0.325 0.213 19.64 9.59 15.46 0.419
3674.97 43.46 28.28 0.004 3.83 2.45 2.45 15.11 0.435 0.171 0.204 0.253 0.273 0.171 25.96 10.56 19.82 0.255
3673.91 57.48 22.69 0.000 3.86 2.56 2.56 8.64 0.575 0.281 0.311 0.375 0.402 0.281 18.88 1.15 13.37 0.559
3672.99 57.23 31.82 0.005 4.43 2.56 2.56 8.53 0.572 0.279 0.308 0.373 0.400 0.279 28.04 1.11 19.84 0.254
3671.93 57.69 25.69 0.005 4.23 2.57 2.57 8.13 0.577 0.283 0.313 0.377 0.404 0.283 21.85 0.59 15.46 0.418
3670.86 60.95 33.01 0.001 4.27 2.54 2.54 9.81 0.609 0.315 0.342 0.410 0.438 0.315 28.73 1.43 20.34 0.242
3669.94 66.05 22.84 -0.003 4.07 2.52 2.52 11.04 0.661 0.371 0.393 0.463 0.494 0.371 17.81 1.16 12.62 0.628
3668.88 59.42 31.04 0.002 3.79 2.55 2.55 9.42 0.594 0.300 0.328 0.394 0.422 0.300 26.98 1.44 19.10 0.274
3667.96 56.15 27.49 -0.001 4.18 2.56 2.56 8.60 0.561 0.269 0.299 0.363 0.389 0.269 23.85 1.44 16.89 0.350
3666.90 48.40 23.83 0.000 3.93 2.50 2.50 12.44 0.484 0.205 0.238 0.294 0.316 0.205 21.04 6.97 15.67 0.407
3665.98 60.81 26.90 -0.001 3.73 2.54 2.54 9.73 0.608 0.313 0.341 0.408 0.437 0.313 22.65 1.38 16.04 0.389
3664.92 49.68 25.69 -0.007 3.69 2.45 2.44 15.82 0.497 0.215 0.248 0.304 0.327 0.215 22.77 10.10 17.62 0.322
3663.85 45.76 22.06 0.001 3.54 2.38 2.38 19.32 0.458 0.186 0.219 0.272 0.292 0.186 19.53 14.36 17.14 0.340
3662.93 51.47 26.72 -0.006 3.57 2.38 2.37 19.68 0.515 0.229 0.261 0.320 0.344 0.229 23.62 13.58 19.27 0.269
3661.87 61.02 27.89 0.008 3.88 2.53 2.54 9.94 0.610 0.316 0.343 0.410 0.439 0.316 23.60 1.53 16.73 0.357
3660.95 58.26 29.10 -0.003 3.58 2.51 2.51 11.78 0.583 0.288 0.318 0.383 0.410 0.288 25.19 4.10 18.05 0.307
3659.89 49.79 26.05 -0.002 3.38 2.33 2.33 22.43 0.498 0.216 0.248 0.305 0.328 0.216 23.13 16.68 20.16 0.246
3658.97 39.07 26.33 0.000 3.72 2.36 2.36 20.31 0.391 0.144 0.176 0.220 0.237 0.144 24.39 16.48 20.81 0.231
3657.90 34.04 24.49 0.003 3.22 2.33 2.33 22.27 0.340 0.116 0.147 0.184 0.199 0.116 22.92 19.18 21.13 0.224
3656.99 37.63 27.49 -0.003 4.10 2.35 2.34 21.50 0.376 0.135 0.167 0.210 0.226 0.135 25.66 17.89 22.12 0.204
3656.08 68.91 24.68 -0.003 3.99 2.50 2.50 12.30 0.689 0.405 0.425 0.496 0.528 0.405 19.18 1.51 13.61 0.540
3655.92 64.80 21.69 -0.003 4.11 2.53 2.53 10.54 0.648 0.356 0.380 0.450 0.480 0.356 16.86 1.05 11.94 0.701
3654.86 57.10 26.26 0.002 4.17 2.57 2.57 7.91 0.571 0.277 0.307 0.372 0.398 0.277 22.49 0.52 15.91 0.395
3653.94 56.12 29.21 -0.001 4.24 2.55 2.55 9.15 0.561 0.268 0.299 0.362 0.388 0.268 25.57 2.00 18.13 0.304
3652.88 58.12 27.55 0.002 4.10 2.57 2.57 8.21 0.581 0.287 0.316 0.382 0.409 0.287 23.66 0.57 16.73 0.357
3651.96 49.02 19.54 -0.001 3.91 2.57 2.57 7.99 0.490 0.210 0.243 0.299 0.321 0.210 16.69 2.41 11.92 0.703
3650.89 60.97 34.38 0.006 4.22 2.56 2.57 8.38 0.610 0.315 0.342 0.410 0.438 0.315 30.11 -0.01 21.29 0.221
3649.98 63.92 35.95 0.005 4.22 2.54 2.54 9.75 0.639 0.346 0.371 0.440 0.470 0.346 31.25 0.52 22.10 0.205
3648.91 65.44 37.41 -0.001 3.91 2.50 2.50 12.46 0.654 0.364 0.387 0.457 0.487 0.364 32.48 2.78 23.05 0.188
3648.00 62.58 36.03 -0.003 4.34 2.51 2.51 11.85 0.626 0.332 0.358 0.426 0.456 0.332 31.53 3.01 22.39 0.199
3646.93 54.64 30.64 0.000 4.19 2.54 2.54 9.85 0.546 0.255 0.286 0.349 0.374 0.255 27.17 3.05 19.33 0.267
3645.87 51.05 25.53 -0.004 4.20 2.51 2.50 12.19 0.510 0.225 0.258 0.316 0.340 0.225 22.47 6.19 16.48 0.368
3644.95 49.96 20.49 -0.002 3.97 2.56 2.56 8.94 0.500 0.217 0.250 0.307 0.330 0.217 17.55 3.16 12.61 0.629

139
ΦN
corr.
ΦD
corr
phi eff F
3643.88 63.93 35.63 0.003 3.84 2.50 2.50 12.01 0.639 0.347 0.371 0.441 0.471 0.347 30.93 2.78 21.96 0.207
3642.97 61.94 36.65 -0.003 3.97 2.53 2.53 10.44 0.619 0.325 0.352 0.420 0.449 0.325 32.24 1.78 22.83 0.192
3641.90 60.57 36.40 0.001 4.29 2.51 2.51 11.61 0.606 0.311 0.339 0.406 0.434 0.311 32.18 3.32 22.87 0.191
3640.99 59.54 37.00 -0.004 4.39 2.50 2.50 12.56 0.595 0.301 0.329 0.395 0.423 0.301 32.92 4.54 23.50 0.181
3639.92 61.00 33.32 0.000 4.14 2.54 2.54 9.72 0.610 0.315 0.343 0.410 0.439 0.315 29.04 1.32 20.56 0.237
3638.85 54.57 29.74 0.000 4.25 2.54 2.54 9.97 0.546 0.255 0.286 0.348 0.373 0.255 26.28 3.19 18.72 0.285
3637.94 46.21 23.77 0.001 4.26 2.57 2.57 8.34 0.462 0.189 0.223 0.275 0.296 0.189 21.20 3.29 15.17 0.435
3636.87 59.72 31.72 -0.005 4.11 2.55 2.54 9.87 0.597 0.303 0.331 0.397 0.425 0.303 27.61 1.81 19.57 0.261
3635.96 57.75 32.86 -0.007 4.19 2.53 2.53 10.67 0.577 0.283 0.313 0.378 0.405 0.283 29.01 3.12 20.63 0.235
3634.89 47.95 23.04 0.000 4.37 2.56 2.56 8.71 0.479 0.202 0.235 0.290 0.311 0.202 20.31 3.34 14.55 0.472
3633.98 56.44 27.22 0.002 3.99 2.57 2.57 8.30 0.564 0.271 0.302 0.365 0.392 0.271 23.54 1.07 16.66 0.360
3632.91 57.14 25.52 0.001 4.07 2.54 2.54 9.81 0.571 0.278 0.308 0.372 0.399 0.278 21.75 2.41 15.47 0.418
3632.00 46.81 26.21 0.001 3.53 2.38 2.38 19.02 0.468 0.194 0.227 0.280 0.301 0.194 23.58 13.87 19.34 0.267
3630.93 39.70 24.42 0.003 3.45 2.40 2.40 18.14 0.397 0.147 0.180 0.225 0.242 0.147 22.42 14.21 18.77 0.284
3629.86 37.50 26.91 0.003 3.71 2.38 2.38 19.20 0.375 0.135 0.167 0.209 0.225 0.135 25.09 15.62 20.89 0.229
3628.95 39.66 27.16 -0.002 3.37 2.40 2.40 18.26 0.397 0.147 0.180 0.224 0.242 0.147 25.16 14.34 20.48 0.238
3627.88 47.35 26.17 -0.003 3.59 2.40 2.40 18.33 0.474 0.197 0.231 0.285 0.306 0.197 23.49 13.07 19.01 0.277
3626.97 56.42 27.32 0.002 3.95 2.52 2.52 10.96 0.564 0.271 0.301 0.365 0.391 0.271 23.64 3.74 16.93 0.349
3625.90 44.97 21.92 0.000 3.59 2.49 2.49 12.62 0.450 0.181 0.214 0.265 0.286 0.181 19.47 7.80 14.83 0.455
3624.99 49.50 23.59 0.001 3.62 2.54 2.54 9.67 0.495 0.213 0.246 0.303 0.325 0.213 20.69 3.99 14.90 0.450
3623.92 39.25 26.19 0.033 4.47 2.39 2.42 17.04 0.392 0.145 0.177 0.221 0.239 0.145 24.23 13.18 19.50 0.263
3622.85 55.91 26.30 -0.002 3.82 2.49 2.49 12.76 0.559 0.267 0.297 0.360 0.386 0.267 22.68 5.66 16.53 0.366
3621.94 48.07 25.92 -0.009 4.10 2.46 2.45 15.38 0.481 0.203 0.236 0.291 0.313 0.203 23.17 9.98 17.84 0.314
3620.87 57.77 20.72 -0.008 4.04 2.55 2.54 9.66 0.578 0.284 0.313 0.378 0.405 0.284 16.87 2.10 12.02 0.692
3619.96 58.85 31.35 -0.004 4.19 2.53 2.53 10.67 0.589 0.294 0.323 0.389 0.416 0.294 27.37 2.84 19.45 0.264
3618.89 58.99 24.38 0.001 4.07 2.57 2.57 8.05 0.590 0.295 0.324 0.390 0.418 0.295 20.37 0.19 14.41 0.482
3617.98 48.05 24.68 -0.003 4.02 2.50 2.50 12.43 0.481 0.203 0.236 0.291 0.312 0.203 21.94 7.03 16.29 0.377
3616.91 60.26 29.83 -0.005 3.88 2.54 2.53 10.32 0.603 0.308 0.336 0.403 0.431 0.308 25.66 2.12 18.20 0.302
3615.99 53.21 28.39 0.007 3.99 2.56 2.56 8.62 0.532 0.243 0.275 0.335 0.360 0.243 25.09 2.14 17.81 0.315
3614.93 61.93 32.89 -0.003 4.12 2.53 2.53 10.62 0.619 0.325 0.352 0.420 0.449 0.325 28.48 1.96 20.19 0.245
3613.86 59.16 29.69 0.000 4.05 2.55 2.55 9.30 0.592 0.297 0.326 0.392 0.419 0.297 25.67 1.39 18.18 0.303
3612.95 56.09 30.24 -0.002 4.26 2.54 2.53 10.28 0.561 0.268 0.299 0.362 0.388 0.268 26.60 3.14 18.94 0.279
3611.88 53.28 23.43 0.007 3.93 2.58 2.59 7.26 0.533 0.244 0.275 0.336 0.361 0.244 20.13 0.77 14.24 0.493
3610.97 37.85 19.78 0.004 3.38 2.55 2.55 9.42 0.378 0.137 0.169 0.211 0.228 0.137 17.93 5.78 13.32 0.564
3609.90 57.67 32.64 -0.006 4.12 2.53 2.53 10.79 0.577 0.283 0.312 0.377 0.404 0.283 28.81 3.26 20.50 0.238
3608.98 58.80 33.32 0.002 4.09 2.53 2.53 10.71 0.588 0.293 0.322 0.388 0.416 0.293 29.34 2.89 20.85 0.230
3607.92 65.15 35.43 0.001 4.17 2.54 2.54 10.03 0.651 0.360 0.384 0.454 0.484 0.360 30.54 0.43 21.60 0.214
3606.85 57.49 30.78 -0.006 4.17 2.54 2.54 10.01 0.575 0.281 0.311 0.375 0.402 0.281 26.97 2.53 19.15 0.273
3605.94 60.69 33.19 0.002 4.19 2.53 2.54 10.16 0.607 0.312 0.340 0.407 0.435 0.312 28.95 1.84 20.51 0.238
3604.87 59.90 34.98 -0.005 4.32 2.52 2.51 11.44 0.599 0.304 0.332 0.399 0.427 0.304 30.85 3.33 21.94 0.208
3603.80 63.42 36.06 -0.001 4.26 2.50 2.50 12.23 0.634 0.341 0.366 0.435 0.465 0.341 31.44 3.15 22.34 0.200
3602.89 53.91 31.24 0.004 4.15 2.53 2.53 10.36 0.539 0.249 0.280 0.342 0.367 0.249 27.86 3.72 19.87 0.253

140
ΦN
corr.
ΦD
corr
phi eff F
3601.97 62.33 35.67 0.000 4.06 2.53 2.53 10.73 0.623 0.329 0.355 0.424 0.453 0.329 31.20 1.95 22.11 0.205
3600.91 57.89 29.70 0.004 4.47 2.55 2.55 9.28 0.579 0.285 0.314 0.379 0.406 0.285 25.84 1.69 18.31 0.298
3599.99 62.66 34.13 0.003 4.24 2.54 2.55 9.49 0.627 0.333 0.359 0.427 0.457 0.333 29.61 0.62 20.95 0.228
3598.93 62.45 33.44 0.000 4.28 2.54 2.54 10.08 0.625 0.331 0.357 0.425 0.454 0.331 28.95 1.28 20.49 0.238
3597.86 63.41 36.41 -0.002 4.12 2.49 2.48 13.23 0.634 0.341 0.366 0.435 0.465 0.341 31.78 4.15 22.66 0.195
3596.94 63.94 37.44 0.000 4.02 2.51 2.51 11.95 0.639 0.347 0.372 0.441 0.471 0.347 32.74 2.71 23.23 0.185
3595.88 57.06 31.36 -0.007 3.99 2.54 2.53 10.32 0.571 0.277 0.307 0.371 0.398 0.277 27.60 2.94 19.63 0.260
3594.96 59.92 35.64 -0.001 4.05 2.55 2.55 9.59 0.599 0.305 0.333 0.399 0.427 0.305 31.51 1.48 22.31 0.201
3593.90 55.09 31.65 -0.004 3.93 2.52 2.51 11.50 0.551 0.259 0.290 0.353 0.378 0.259 28.13 4.60 20.15 0.246
3592.98 63.77 36.96 -0.002 4.05 2.51 2.51 11.67 0.638 0.345 0.370 0.439 0.469 0.345 32.29 2.48 22.90 0.191
3591.92 58.43 35.01 0.005 4.18 2.51 2.51 11.53 0.584 0.290 0.319 0.384 0.412 0.290 31.07 3.80 22.14 0.204
3590.85 52.81 31.89 0.006 3.99 2.56 2.56 8.65 0.528 0.240 0.272 0.332 0.356 0.240 28.64 2.26 20.31 0.242
3589.93 55.47 34.39 -0.001 4.35 2.53 2.52 10.83 0.555 0.263 0.293 0.356 0.382 0.263 30.83 3.84 21.97 0.207
3588.87 55.89 32.28 0.004 4.11 2.55 2.55 9.27 0.559 0.266 0.297 0.360 0.386 0.266 28.67 2.17 20.33 0.242
3587.95 57.40 27.79 0.010 3.93 2.56 2.57 7.98 0.574 0.280 0.310 0.375 0.401 0.280 23.99 0.51 16.97 0.347
3586.89 58.24 25.55 -0.003 3.97 2.54 2.54 9.95 0.582 0.288 0.317 0.383 0.410 0.288 21.64 2.28 15.39 0.422
3585.97 54.35 27.00 0.001 3.97 2.54 2.54 10.01 0.544 0.253 0.284 0.346 0.371 0.253 23.57 3.28 16.83 0.353
3584.91 54.81 28.60 -0.006 4.17 2.54 2.54 10.12 0.548 0.257 0.288 0.350 0.376 0.257 25.12 3.28 17.91 0.312
3583.99 55.47 31.83 -0.003 4.08 2.53 2.53 10.63 0.555 0.263 0.293 0.356 0.382 0.263 28.27 3.64 20.15 0.246
3582.92 58.48 24.87 0.003 3.96 2.57 2.57 8.05 0.585 0.290 0.319 0.385 0.412 0.290 20.93 0.32 14.80 0.457
3581.86 59.34 27.86 -0.006 3.71 2.55 2.55 9.63 0.593 0.299 0.327 0.393 0.421 0.299 23.81 1.67 16.88 0.351
3580.94 36.87 16.84 0.004 3.73 2.47 2.48 13.56 0.369 0.131 0.163 0.204 0.220 0.131 15.06 10.07 12.81 0.609
3579.88 50.38 23.67 0.003 3.74 2.49 2.49 12.90 0.504 0.220 0.253 0.310 0.333 0.220 20.68 7.04 15.44 0.419
3578.96 55.88 26.68 0.002 4.04 2.55 2.55 9.21 0.559 0.266 0.297 0.360 0.386 0.266 23.07 2.12 16.38 0.373
3577.89 55.45 26.29 0.007 4.04 2.57 2.58 7.88 0.555 0.262 0.293 0.356 0.382 0.262 22.73 0.89 16.09 0.386
3576.98 54.89 29.05 -0.001 4.12 2.55 2.55 9.18 0.549 0.257 0.289 0.351 0.376 0.257 25.56 2.32 18.15 0.304
3575.91 53.65 27.79 -0.010 4.20 2.54 2.53 10.60 0.536 0.247 0.278 0.339 0.364 0.247 24.44 4.02 17.52 0.326
3575.00 58.16 33.37 0.002 4.40 2.54 2.55 9.57 0.582 0.287 0.317 0.382 0.409 0.287 29.48 1.92 20.89 0.229
3573.93 59.42 34.66 0.005 4.22 2.52 2.53 10.64 0.594 0.300 0.328 0.394 0.422 0.300 30.59 2.66 21.71 0.212
3572.87 66.26 36.87 -0.007 4.26 2.50 2.49 12.70 0.663 0.373 0.396 0.466 0.497 0.373 31.80 2.76 22.57 0.196
3571.95 60.66 36.27 -0.001 4.39 2.50 2.50 12.16 0.607 0.312 0.339 0.407 0.435 0.312 32.03 3.85 22.81 0.192
3570.88 61.01 33.81 0.002 4.04 2.54 2.54 10.11 0.610 0.316 0.343 0.410 0.439 0.316 29.53 1.71 20.92 0.229
3569.97 54.91 29.46 0.000 4.08 2.53 2.53 10.46 0.549 0.258 0.289 0.351 0.376 0.258 25.96 3.59 18.53 0.291
3568.90 65.63 37.68 -0.001 4.12 2.51 2.51 11.89 0.656 0.366 0.389 0.459 0.490 0.366 32.72 2.15 23.19 0.186
3567.99 62.13 36.12 -0.004 4.09 2.51 2.50 12.00 0.621 0.327 0.354 0.422 0.451 0.327 31.68 3.29 22.52 0.197
3566.92 59.52 33.31 -0.001 4.11 2.53 2.53 10.64 0.595 0.301 0.329 0.395 0.423 0.301 29.23 2.64 20.75 0.232
3565.86 59.00 31.86 0.008 3.94 2.55 2.56 8.61 0.590 0.295 0.324 0.390 0.418 0.295 27.85 0.74 19.70 0.258
3564.94 58.35 31.14 0.004 4.12 2.55 2.56 8.95 0.584 0.289 0.318 0.384 0.411 0.289 27.21 1.25 19.26 0.269
3563.87 56.96 32.95 -0.012 4.25 2.53 2.52 11.05 0.570 0.276 0.306 0.370 0.397 0.276 29.20 3.69 20.81 0.231
3562.96 59.33 33.88 -0.004 4.03 2.51 2.51 11.85 0.593 0.299 0.327 0.393 0.421 0.299 29.83 3.89 21.27 0.221
3561.89 52.39 28.03 0.006 3.84 2.55 2.55 9.17 0.524 0.236 0.268 0.328 0.352 0.236 24.83 2.87 17.67 0.320
3560.98 59.87 34.41 0.004 4.07 2.52 2.52 10.91 0.599 0.304 0.332 0.399 0.427 0.304 30.28 2.81 21.50 0.216

141
ΦN
corr.
ΦD
corr
phi eff F
3559.91 59.22 37.82 -0.002 3.72 2.50 2.50 12.39 0.592 0.298 0.326 0.392 0.420 0.298 33.78 4.46 24.10 0.172
3559.00 63.54 38.98 -0.006 3.76 2.50 2.49 12.81 0.635 0.342 0.367 0.436 0.466 0.342 34.34 3.69 24.42 0.168
3557.93 60.33 36.50 0.005 4.13 2.52 2.53 10.77 0.603 0.309 0.336 0.403 0.432 0.309 32.31 2.54 22.92 0.190
3556.86 65.78 38.74 0.001 3.82 2.51 2.51 11.89 0.658 0.368 0.391 0.461 0.491 0.368 33.75 2.10 23.91 0.175
3555.95 62.47 38.45 -0.001 3.86 2.51 2.51 11.81 0.625 0.331 0.357 0.425 0.455 0.331 33.96 3.00 24.11 0.172
3554.88 65.47 37.86 -0.006 3.80 2.50 2.50 12.51 0.655 0.364 0.387 0.457 0.488 0.364 32.92 2.81 23.36 0.183
3553.97 61.08 36.32 -0.003 3.91 2.51 2.51 11.80 0.611 0.316 0.343 0.411 0.440 0.316 32.03 3.38 22.77 0.193
3552.90 62.65 35.98 -0.006 3.84 2.50 2.49 12.90 0.626 0.333 0.359 0.427 0.456 0.333 31.47 4.04 22.44 0.199
3551.99 65.66 40.41 -0.005 3.72 2.49 2.49 13.02 0.657 0.366 0.389 0.459 0.490 0.366 35.45 3.27 25.17 0.158
3545.89 66.68 38.60 -0.007 3.93 2.48 2.48 13.65 0.667 0.378 0.400 0.470 0.502 0.378 33.47 3.58 23.80 0.176
3544.82 66.95 37.02 -0.007 3.87 2.50 2.50 12.41 0.669 0.381 0.403 0.473 0.505 0.381 31.85 2.25 22.58 0.196
3543.76 63.01 36.55 -0.006 4.03 2.50 2.49 12.71 0.630 0.337 0.362 0.431 0.460 0.337 31.99 3.74 22.77 0.193
3543.00 56.54 37.99 0.002 3.99 2.50 2.50 12.42 0.565 0.272 0.302 0.366 0.393 0.272 34.29 5.16 24.52 0.166
3541.93 63.56 36.43 -0.001 3.79 2.49 2.48 13.19 0.636 0.343 0.368 0.437 0.467 0.343 31.78 4.06 22.65 0.195
3540.86 63.90 38.36 0.001 4.91 2.45 2.46 14.87 0.639 0.346 0.371 0.440 0.470 0.346 33.67 5.65 24.14 0.172
3539.95 60.64 33.32 0.000 4.04 2.54 2.54 9.70 0.606 0.312 0.339 0.406 0.435 0.312 29.09 1.40 20.59 0.236
3538.88 62.94 35.30 0.004 3.79 2.53 2.54 10.16 0.629 0.336 0.361 0.430 0.460 0.336 30.74 1.21 21.75 0.211
3537.97 59.79 34.61 0.000 3.69 2.50 2.50 12.16 0.598 0.303 0.331 0.398 0.426 0.303 30.49 4.08 21.75 0.211
3536.90 60.33 32.90 -0.005 4.17 2.51 2.50 12.05 0.603 0.309 0.336 0.403 0.432 0.309 28.71 3.83 20.48 0.238
3535.98 60.66 38.87 -0.005 3.64 2.49 2.49 13.12 0.607 0.312 0.340 0.407 0.435 0.312 34.64 4.81 24.73 0.164
3534.92 59.97 35.02 -0.003 4.30 2.52 2.51 11.41 0.600 0.305 0.333 0.400 0.428 0.305 30.89 3.28 21.96 0.207
3533.85 63.65 37.59 -0.002 3.82 2.49 2.49 12.80 0.636 0.343 0.369 0.438 0.467 0.343 32.93 3.65 23.43 0.182
3532.94 59.59 33.42 0.003 4.01 2.52 2.52 11.16 0.596 0.301 0.330 0.396 0.424 0.301 29.34 3.14 20.86 0.230
3531.87 61.93 37.12 0.003 3.93 2.48 2.49 13.15 0.619 0.325 0.352 0.420 0.449 0.325 32.71 4.49 23.34 0.184
3530.96 60.53 36.62 0.002 3.98 2.51 2.51 11.61 0.605 0.311 0.338 0.405 0.434 0.311 32.40 3.34 23.03 0.188
3529.89 61.98 36.70 -0.003 3.85 2.52 2.51 11.47 0.620 0.326 0.352 0.420 0.449 0.326 32.28 2.80 22.91 0.191
3528.97 57.02 34.53 0.007 3.84 2.51 2.52 11.23 0.570 0.277 0.307 0.371 0.397 0.277 30.77 3.86 21.93 0.208
3527.91 63.43 37.74 0.000 4.00 2.50 2.50 12.45 0.634 0.341 0.366 0.435 0.465 0.341 33.11 3.36 23.53 0.181
3526.99 63.11 39.05 0.002 3.95 2.49 2.49 12.82 0.631 0.338 0.363 0.432 0.461 0.338 34.47 3.83 24.53 0.166
3525.93 61.17 36.71 -0.002 4.24 2.49 2.49 12.90 0.612 0.317 0.344 0.412 0.441 0.317 32.41 4.45 23.13 0.187
3524.86 68.13 38.93 -0.015 3.93 2.48 2.46 14.50 0.681 0.396 0.416 0.487 0.519 0.396 33.56 3.96 23.90 0.175
3523.95 64.68 38.34 -0.006 4.10 2.49 2.48 13.44 0.647 0.355 0.379 0.449 0.479 0.355 33.53 3.99 23.87 0.175
3522.88 62.93 33.26 -0.002 4.06 2.53 2.53 10.50 0.629 0.336 0.361 0.430 0.460 0.336 28.70 1.56 20.33 0.242
3521.96 62.45 37.61 -0.007 3.85 2.48 2.47 14.14 0.625 0.331 0.357 0.425 0.454 0.331 33.12 5.33 23.72 0.178
3520.90 61.29 35.12 0.001 4.09 2.53 2.53 10.70 0.613 0.318 0.345 0.413 0.442 0.318 30.80 2.22 21.84 0.210
3519.98 67.87 39.97 -0.004 3.98 2.49 2.49 13.13 0.679 0.392 0.413 0.484 0.516 0.392 34.65 2.68 24.57 0.166
3518.92 58.11 35.50 0.001 4.34 2.51 2.51 11.80 0.581 0.287 0.316 0.381 0.409 0.287 31.61 4.16 22.54 0.197
3517.85 61.28 35.72 0.002 3.96 2.54 2.54 9.76 0.613 0.318 0.345 0.413 0.442 0.318 31.41 1.28 22.23 0.202
3516.93 65.07 40.29 -0.003 3.92 2.48 2.48 13.51 0.651 0.359 0.383 0.453 0.483 0.359 35.41 3.94 25.19 0.158
3515.87 63.40 36.36 -0.003 4.12 2.51 2.50 11.99 0.634 0.341 0.366 0.435 0.465 0.341 31.74 2.92 22.54 0.197
3514.95 63.21 37.44 0.000 3.92 2.50 2.50 12.39 0.632 0.339 0.364 0.433 0.463 0.339 32.84 3.37 23.35 0.183
3513.89 65.38 40.14 -0.002 3.90 2.49 2.48 13.16 0.654 0.363 0.386 0.456 0.487 0.363 35.21 3.50 25.02 0.160

142
ΦN
corr.
ΦD
corr
phi eff F
3512.97 66.53 39.20 -0.008 3.96 2.49 2.48 13.54 0.665 0.376 0.399 0.469 0.500 0.376 34.09 3.52 24.23 0.170
3511.91 64.38 39.12 -0.003 4.09 2.47 2.47 14.04 0.644 0.352 0.376 0.445 0.476 0.352 34.35 4.67 24.51 0.166
3510.99 63.72 39.90 0.002 3.81 2.49 2.49 13.02 0.637 0.344 0.369 0.438 0.468 0.344 35.23 3.85 25.06 0.159
3509.92 66.46 41.46 0.005 3.52 2.48 2.48 13.38 0.665 0.376 0.398 0.468 0.499 0.376 36.36 3.38 25.82 0.150
3508.86 70.00 45.79 0.003 3.75 2.46 2.46 14.33 0.700 0.419 0.438 0.508 0.541 0.419 40.10 3.17 28.44 0.124
3507.94 63.79 38.69 0.006 4.01 2.50 2.50 12.20 0.638 0.345 0.370 0.439 0.469 0.345 34.01 3.01 24.14 0.172
3506.88 67.78 41.02 -0.001 4.02 2.47 2.47 14.22 0.678 0.391 0.412 0.483 0.515 0.391 35.71 3.79 25.39 0.155
3505.96 70.04 38.79 0.000 3.85 2.48 2.48 13.54 0.700 0.420 0.438 0.509 0.541 0.420 33.09 2.36 23.46 0.182
3504.90 67.63 39.05 0.006 3.73 2.49 2.49 12.58 0.676 0.390 0.411 0.481 0.513 0.390 33.77 2.21 23.93 0.175
3503.98 71.91 39.68 -0.003 3.98 2.47 2.46 14.47 0.719 0.444 0.460 0.531 0.564 0.444 33.65 2.64 23.87 0.176
3502.91 64.37 40.68 0.005 3.70 2.49 2.49 12.58 0.644 0.352 0.376 0.445 0.476 0.352 35.92 3.22 25.50 0.154
3501.85 68.22 44.85 0.007 4.03 2.48 2.49 13.08 0.682 0.397 0.417 0.488 0.520 0.397 39.47 2.52 27.97 0.128
3500.93 18.07 15.37 -0.001 2.69 2.33 2.33 22.49 0.181 0.049 0.068 0.086 0.094 0.049 14.71 21.18 18.23 0.301
3498.95 22.19 23.42 0.011 3.66 2.41 2.42 17.03 0.222 0.064 0.087 0.109 0.119 0.064 22.55 15.33 19.28 0.269
3497.88 56.63 41.24 0.005 3.88 2.48 2.48 13.40 0.566 0.273 0.303 0.367 0.394 0.273 37.54 6.13 26.90 0.138
3496.97 62.83 42.79 -0.007 3.89 2.45 2.44 15.59 0.628 0.335 0.360 0.429 0.458 0.335 38.25 6.68 27.45 0.133
3495.90 43.74 33.43 0.012 4.12 2.49 2.50 12.19 0.437 0.173 0.206 0.256 0.275 0.173 31.09 7.60 22.63 0.195
3494.99 53.09 34.11 0.000 3.09 2.49 2.49 13.10 0.531 0.242 0.274 0.334 0.359 0.242 30.82 6.65 22.30 0.201
3493.92 63.60 40.70 0.004 3.86 2.47 2.47 13.83 0.636 0.343 0.368 0.437 0.467 0.343 36.05 4.70 25.71 0.151
3492.86 64.16 41.65 0.002 3.92 2.47 2.47 14.13 0.642 0.349 0.374 0.443 0.473 0.349 36.92 4.83 26.33 0.144
3491.94 60.85 44.82 -0.004 3.88 2.47 2.46 14.35 0.609 0.314 0.341 0.409 0.437 0.314 40.56 5.99 28.99 0.119
3490.87 67.31 42.18 0.003 3.78 2.47 2.47 13.77 0.673 0.386 0.407 0.477 0.509 0.386 36.95 3.50 26.24 0.145
3489.96 60.10 37.05 0.001 3.61 2.49 2.49 12.96 0.601 0.306 0.334 0.401 0.429 0.306 32.90 4.80 23.51 0.181
3488.89 61.47 41.25 -0.007 3.74 2.45 2.44 15.51 0.615 0.320 0.347 0.415 0.444 0.320 36.90 6.98 26.56 0.142
3487.98 60.74 41.19 0.001 3.70 2.45 2.45 15.05 0.607 0.313 0.340 0.407 0.436 0.313 36.94 6.72 26.55 0.142
3486.91 65.53 41.19 0.000 3.77 2.44 2.44 15.60 0.655 0.365 0.388 0.458 0.489 0.365 36.25 5.88 25.97 0.148
3486.00 64.24 39.00 0.001 3.76 2.46 2.46 14.71 0.642 0.350 0.375 0.444 0.474 0.350 34.25 5.38 24.52 0.166
3484.93 58.56 41.15 0.001 3.88 2.46 2.46 14.61 0.586 0.291 0.320 0.386 0.413 0.291 37.20 6.86 26.75 0.140
3483.86 60.75 39.68 0.005 4.13 2.46 2.47 14.21 0.608 0.313 0.340 0.408 0.436 0.313 35.43 5.88 25.40 0.155
3482.95 60.66 42.24 -0.008 3.86 2.45 2.44 15.74 0.607 0.312 0.339 0.407 0.435 0.312 38.01 7.43 27.39 0.133
3481.88 58.78 42.26 0.008 4.56 2.44 2.45 15.03 0.588 0.293 0.322 0.388 0.415 0.293 38.28 7.22 27.54 0.132
3480.97 56.72 42.52 0.004 4.23 2.46 2.46 14.41 0.567 0.274 0.304 0.368 0.394 0.274 38.81 7.11 27.90 0.128
3479.90 58.48 45.36 0.003 4.15 2.46 2.47 14.32 0.585 0.290 0.319 0.385 0.412 0.290 41.42 6.58 29.65 0.114
3478.99 69.20 40.34 -0.002 3.80 2.45 2.45 15.30 0.692 0.409 0.428 0.499 0.531 0.409 34.79 4.41 24.80 0.163
3477.92 59.49 40.36 0.012 3.82 2.46 2.48 13.64 0.595 0.300 0.329 0.395 0.423 0.300 36.29 5.65 25.97 0.148
3476.85 61.77 38.25 0.006 3.86 2.47 2.47 13.94 0.618 0.323 0.350 0.418 0.447 0.323 33.86 5.32 24.24 0.170
3475.94 61.57 42.35 0.015 4.02 2.46 2.47 13.94 0.616 0.321 0.348 0.416 0.445 0.321 37.99 5.38 27.13 0.136
3474.87 67.23 38.90 0.006 3.75 2.46 2.46 14.42 0.672 0.385 0.406 0.477 0.508 0.385 33.68 4.18 24.00 0.174
3473.96 60.50 40.58 -0.001 4.00 2.46 2.46 14.76 0.605 0.310 0.338 0.405 0.433 0.310 36.36 6.49 26.12 0.147
3472.89 67.81 40.33 0.006 3.82 2.46 2.47 14.06 0.678 0.392 0.413 0.483 0.515 0.392 35.02 3.62 24.90 0.161
3471.98 64.00 40.56 0.004 4.00 2.46 2.47 14.08 0.640 0.347 0.372 0.441 0.471 0.347 35.85 4.83 25.58 0.153
3470.91 62.72 40.88 -0.005 3.94 2.44 2.44 16.06 0.627 0.333 0.359 0.428 0.457 0.333 36.35 7.18 26.20 0.146

143
ΦN
corr.
ΦD
corr
phi eff F
3470.00 64.39 39.55 -0.009 3.97 2.45 2.44 15.58 0.644 0.352 0.376 0.445 0.476 0.352 34.78 6.21 24.98 0.160
3468.93 64.76 40.99 0.002 3.74 2.44 2.45 15.48 0.648 0.356 0.380 0.449 0.480 0.356 36.16 6.00 25.92 0.149
3467.86 64.34 41.46 0.010 3.81 2.46 2.47 13.75 0.643 0.351 0.376 0.445 0.475 0.351 36.70 4.40 26.13 0.146
3466.95 67.21 40.36 0.009 4.10 2.47 2.48 13.33 0.672 0.384 0.406 0.476 0.508 0.384 35.14 3.09 24.95 0.161
3465.88 63.79 41.22 0.011 3.84 2.46 2.47 14.06 0.638 0.345 0.370 0.439 0.469 0.345 36.54 4.87 26.06 0.147
3464.97 65.65 42.84 0.005 4.18 2.44 2.45 15.39 0.657 0.366 0.389 0.459 0.490 0.366 37.87 5.64 27.07 0.136
3463.90 57.84 41.86 0.005 4.53 2.45 2.45 15.13 0.578 0.284 0.314 0.379 0.406 0.284 38.00 7.55 27.40 0.133
3462.99 61.88 37.25 0.024 4.52 2.44 2.47 14.30 0.619 0.325 0.351 0.419 0.448 0.325 32.85 5.65 23.57 0.180
3461.92 65.85 39.74 0.000 4.03 2.48 2.48 13.52 0.658 0.368 0.391 0.461 0.492 0.368 34.74 3.71 24.71 0.164
3460.85 36.33 49.65 0.005 14.21 1.85 1.86 49.88 0.363 0.128 0.160 0.200 0.216 0.128 47.90 46.47 47.19 0.045
3459.94 43.61 50.13 0.050 14.42 2.18 2.23 28.04 0.436 0.172 0.205 0.255 0.274 0.172 47.80 23.47 37.65 0.071
3458.87 46.31 48.74 -0.026 23.60 1.62 1.60 65.13 0.463 0.190 0.223 0.276 0.297 0.190 46.16 60.07 53.57 0.035
3457.96 44.69 46.98 -0.056 17.14 1.62 1.56 67.05 0.447 0.179 0.212 0.263 0.283 0.179 44.56 62.28 54.15 0.034
3456.89 44.96 43.63 -0.012 11.37 1.92 1.90 47.19 0.450 0.181 0.214 0.265 0.285 0.181 41.17 42.37 41.78 0.057
3455.97 46.74 47.64 -0.011 10.46 1.94 1.93 45.49 0.467 0.193 0.226 0.280 0.301 0.193 45.02 40.35 42.75 0.055
3454.91 48.26 45.18 -0.010 7.94 1.99 1.98 42.94 0.483 0.204 0.237 0.292 0.314 0.204 42.42 37.50 40.03 0.062
3453.99 50.39 44.14 -0.004 7.67 2.03 2.03 39.95 0.504 0.220 0.253 0.310 0.334 0.220 41.15 34.08 37.78 0.070
3452.93 51.10 45.39 -0.001 7.02 2.06 2.06 38.16 0.511 0.226 0.258 0.317 0.340 0.226 42.32 32.15 37.58 0.071
3451.86 54.53 42.34 0.012 6.45 2.17 2.18 30.96 0.545 0.254 0.286 0.348 0.373 0.254 38.89 24.18 32.38 0.095
3450.95 49.60 43.84 0.017 6.70 2.18 2.20 29.93 0.496 0.214 0.247 0.304 0.326 0.214 40.93 24.22 33.63 0.088
3449.88 51.18 44.54 0.024 6.42 2.24 2.26 26.23 0.512 0.227 0.259 0.317 0.341 0.227 41.47 20.19 32.61 0.094
3448.96 52.96 40.06 0.003 5.82 2.29 2.30 24.17 0.530 0.241 0.273 0.333 0.358 0.241 36.79 17.75 28.89 0.120
3447.90 36.20 49.73 -0.729 11.55 2.34 1.61 64.16 0.362 0.128 0.159 0.199 0.215 0.128 48.00 60.77 54.76 0.033
3446.98 36.16 51.00 -0.819 18.82 2.10 1.28 83.76 0.362 0.127 0.159 0.199 0.215 0.127 49.28 80.37 66.66 0.023
3445.92 40.94 48.53 -0.908 20.77 2.07 1.16 90.40 0.409 0.155 0.188 0.234 0.252 0.155 46.43 86.27 69.28 0.021
3444.85 35.30 48.31 -0.912 27.80 1.98 1.07 95.81 0.353 0.123 0.154 0.193 0.208 0.123 46.64 92.54 73.28 0.019
3443.94 38.06 44.18 -0.895 18.80 1.95 1.06 96.60 0.381 0.138 0.170 0.213 0.229 0.138 42.31 92.92 72.20 0.019
3442.87 37.36 46.77 -0.892 21.31 1.90 1.01 99.64 0.374 0.134 0.166 0.208 0.224 0.134 44.95 96.08 75.00 0.018
3441.95 36.85 43.51 -0.921 29.89 1.87 0.95 102.78 0.369 0.131 0.163 0.204 0.220 0.131 41.74 99.29 76.16 0.017
3440.89 33.38 46.50 -0.960 25.53 1.90 0.94 103.39 0.334 0.113 0.143 0.180 0.194 0.113 44.97 100.38 77.78 0.017
3439.97 37.00 53.22 -0.966 32.25 1.90 0.94 103.68 0.370 0.132 0.164 0.205 0.221 0.132 51.43 100.17 79.62 0.016
3438.91 39.03 50.99 -0.978 21.58 2.09 1.11 93.51 0.390 0.143 0.176 0.220 0.237 0.143 49.05 89.69 72.29 0.019
3437.99 39.03 50.24 -0.957 34.08 2.15 1.19 88.74 0.390 0.143 0.176 0.220 0.237 0.143 48.29 84.92 69.07 0.021
3436.92 39.03 45.06 -0.854 25.68 2.11 1.25 85.12 0.390 0.143 0.176 0.220 0.237 0.143 43.11 81.30 65.07 0.024
3435.40 39.03 47.09 -0.843 21.64 2.11 1.26 84.63 0.390 0.143 0.176 0.220 0.237 0.143 45.15 80.80 65.45 0.023

144
DEPTH VSH ∅ SWL Ravg GR Sh Potentiality
3749.992 0.057 0.21 0.968 2.675 23.673 0.032
3748.925 0.065 0.161 1 2.68 23.673 0
3747.858 0.128 0.171 0.931 2.706 23.673 0.069
3746.944 0.081 0.221 0.858 2.691 23.673 0.142
3745.877 0.054 0.232 0.861 2.678 23.673 0.139
3744.962 0.034 0.234 0.884 2.665 23.673 0.116
3743.896 0.026 0.238 0.996 2.662 23.673 0.004
3742.981 0 0.245 0.922 2.652 23.673 0.078
3741.914 0.012 0.188 0.843 2.656 23.596 0.157
3740.848 0.019 0.219 0.928 2.658 23.031 0.072
3739.933 0.021 0.219 0.848 2.659 24.65 0.152
3738.866 0.042 0.205 0.929 2.668 26.76 0.071
3737.952 0.033 0.202 0.958 2.669 29.144 0.042
3736.885 0.035 0.185 0.816 2.667 23.079 0.184
3735.971 0.1 0.204 0.949 2.694 25.668 0.051
3735.818 0.11 0.186 1 2.697 24.804 0
3735.666 0.055 0.157 1 2.674 23.682 0
3734.904 0.061 0.204 0.986 2.677 23.765 0.014
3733.99 0.094 0.177 0.988 2.692 25.739 0.012
3732.923 0.138 0.161 1 2.711 26.808 0
3731.856 0.115 0.208 0.926 2.701 23.988 0.074
3730.942 0.08 0.217 0.93 2.687 25.018 0.07
3729.875 0.107 0.202 0.991 2.697 22.135 0.009
3728.96 0.122 0.187 0.91 2.71 30.86 0.09
3727.894 0.195 0.183 0.825 2.733 29.086 0.175
3726.979 0.125 0.156 1 2.712 31.071 0
3725.912 0.149 0.18 0.821 2.719 26.257 0.179
3724.998 0.231 0.167 0.841 2.756 30.536 0.159
3723.931 0.081 0.182 0.926 2.692 23.192 0.074
3722.865 0.065 0.185 0.589 2.698 30.9 0.411 Potential
3721.95 0.12 0.212 0.539 2.716 28.462 0.461 Potential
3720.883 0.003 0.219 0.573 2.669 24.932 0.427 Potential
3719.969 0.104 0.197 0.579 2.711 29.8 0.421 Potential
3718.902 0.21 0.177 0.581 2.75 40.655 0.419 Potential
3717.988 0.243 0.155 0.637 2.757 33.002 0.363 Potential
3716.921 0.288 0.161 0.574 2.779 37.187 0.426 Potential
3715.854 0.223 0.113 0.87 2.758 42.758 0.13
3715.092 0.266 0.151 0.716 2.766 36.503 0.284
3713.873 0.275 0.176 0.581 2.773 39.228 0.419 Potential
3712.958 0.243 0.17 0.592 2.767 47.099 0.408 Potential
3711.892 0.223 0.144 0.928 2.754 51.095 0.072

145
3710.977 0.356 0.102 0.785 2.8 48.603 0.215
3709.91 0.457 0.096 0.718 2.83 47.132 0.282
3708.996 0.268 0.154 0.779 2.774 36.392 0.221
3707.929 0.359 0.129 0.727 2.803 45.199 0.273
3706.862 0.323 0.092 0.901 2.787 47.244 0.099
3705.948 0.242 0.139 0.71 2.76 44.833 0.29
3703.967 0.585 0.028 0.814 2.863 45.066 0.186
3702.9 0.382 0.099 0.729 2.801 52.19 0.271
3701.986 0.417 0.111 0.687 2.821 46.994 0.313
3700.919 0.389 0.143 0.584 2.816 51.232 0.416 Potential
3699.852 0.312 0.151 0.622 2.788 49.88 0.378 Potential
3698.937 0.296 0.144 0.638 2.784 51.513 0.362 Potential
3697.871 0.502 0.061 0.693 2.837 47.458 0.307
3696.956 0.19 0.138 0.776 2.742 55.649 0.224
3695.89 0.264 0.082 0.972 2.77 77.414 0.028
3694.975 0.356 0.097 0.697 2.799 49.14 0.303
3693.908 0.353 0.064 1 2.8 71.136 0
3692.994 0.207 0.057 1 2.749 62.652 0
3691.927 0.18 0.101 0.856 2.741 54.19 0.144
3690.86 0.462 0.04 0.781 2.825 50.454 0.219
3689.946 0.681 0.017 0.775 2.892 54.136 0.225
3688.879 0.874 0 0.85 2.956 61.656 0.15
3687.965 0.7 0 0.942 2.895 58.83 0.058
3686.898 0.075 0.072 1 2.695 54.627 0
3685.984 0.468 0.085 0.752 2.833 61.436 0.248
3684.917 0.939 0 0.693 2.979 64.398 0.307
3683.85 0.43 0.095 0.677 2.824 58.189 0.323
3682.936 0.282 0.075 0.869 2.77 46.465 0.131
3681.869 0.254 0.12 0.842 2.766 60.754 0.158
3680.954 0.856 0 0.916 2.949 59.197 0.084
3679.888 0.45 0.009 1 2.826 62.215 0
3678.973 0.7 0 0.801 2.897 58.927 0.199
3677.906 0.825 0 0.827 2.939 58.132 0.173
3676.992 0.226 0.064 1 2.757 60.264 0
3675.925 0.494 0.035 0.827 2.829 49.557 0.173
3674.858 0.303 0.107 1 2.786 41.231 0
3673.944 0.166 0.081 1 2.731 57.778 0
3672.877 0.799 0 1 2.932 59.824 0
3671.963 0.735 0 0.787 2.908 57.515 0.213
3670.896 0.45 0.044 0.942 2.834 60.998 0.058
3669.982 0.663 0.006 0.987 2.883 65.116 0.013

146
3668.915 0.24 0.083 0.999 2.766 59.341 0.001
3668 0.802 0 0.857 2.931 56.144 0.143
3667.848 0.693 0 0.893 2.895 56.133 0.107
3666.934 0.399 0.054 0.973 2.806 48.422 0.027
3665.867 0.256 0.062 1 2.759 59.45 0
3664.952 0.269 0.079 0.9 2.766 50.061 0.1
3663.885 0.422 0.112 0.783 2.816 45.892 0.217
3662.971 0.609 0.048 0.805 2.874 51.428 0.195
3661.904 0.394 0.078 1 2.81 61.026 0
3660.99 0.238 0.089 1 2.759 58.396 0
3659.923 0.336 0.163 0.881 2.792 49.68 0.119
3658.856 0.296 0.147 0.855 2.78 44.179 0.145
3657.942 0.392 0.149 0.807 2.811 34.008 0.193
3656.875 0.341 0.041 0.964 2.78 46.189 0.036
3655.961 0.6 0.05 0.878 2.871 64.717 0.122
3654.894 0.673 0 0.814 2.888 57.002 0.186
3653.979 0.534 0.022 1 2.853 56.173 0
3652.913 0.643 0.015 0.809 2.883 58.039 0.191
3651.998 0.579 0 0.949 2.854 48.761 0.051
3650.932 0.783 0 0.907 2.924 61.085 0.093
3649.865 0.934 0 0.911 2.977 60.999 0.089
3648.95 0.975 0 0.994 2.991 65.398 0.006
3647.884 0.964 0 0.795 2.987 65.257 0.205
3646.969 0.908 0 0.739 2.968 54.499 0.261
3645.902 0.71 0.004 0.737 2.9 50.943 0.263
3644.988 0.36 0.032 1 2.789 49.905 0
3643.921 0.877 0 0.727 2.957 63.923 0.273
3642.854 0.824 0.001 0.995 2.943 67.469 0.005
3641.94 0.854 0.004 0.81 2.955 60.669 0.19
3640.873 0.922 0.009 0.993 2.976 61.726 0.007
3639.959 0.847 0 0.787 2.947 60.994 0.213
3638.892 0.911 0 0.798 2.969 54.516 0.202
3637.978 0.755 0 0.802 2.914 46.159 0.198
3636.911 0.567 0.016 1 2.865 59.67 0
3635.996 0.843 0 0.785 2.945 57.74 0.215
3634.93 0.531 0.008 1 2.842 48.251 0
3633.863 0.565 0.004 1 2.86 56.382 0
3632.948 0.426 0.043 1 2.817 57.108 0
3631.882 0.388 0.123 0.788 2.81 44.818 0.212
3630.967 0.429 0.118 0.71 2.822 39.639 0.29
3629.9 0.452 0.116 0.779 2.83 37.639 0.221

147
3628.986 0.446 0.105 0.769 2.828 40.138 0.231
3627.919 0.387 0.126 0.632 2.811 47.722 0.368 Potential
3626.852 0.737 0.009 0.774 2.91 56.93 0.226
3625.938 0.452 0.053 0.862 2.823 44.825 0.138
3624.871 0.522 0.011 1 2.843 51.094 0
3623.957 0.171 0.151 1 2.739 39.248 0
3622.89 0.529 0.057 0.795 2.852 55.756 0.205
3621.976 0.272 0.111 0.867 2.772 48.576 0.133
3620.909 0.256 0.045 1 2.757 57.903 0
3619.994 0.873 0 0.821 2.956 58.776 0.179
3618.927 0.161 0.082 1 2.735 58.888 0
3617.861 0.522 0.033 0.735 2.847 54.125 0.265
3616.946 0.901 0 0.609 2.965 60.179 0.391 Potential
3615.88 0.573 0.013 0.846 2.861 47.592 0.154
3614.965 0.526 0.04 1 2.859 61.945 0
3613.898 0.626 0 0.966 2.877 59.084 0.034
3612.984 0.61 0.019 1 2.879 56.32 0
3611.917 0.533 0 1 2.844 53.223 0
3610.85 0.26 0.02 1 2.752 38.253 0
3609.936 0.582 0.022 1 2.872 57.73 0
3608.869 0.752 0.009 1 2.923 68.182 0
3607.955 0.624 0.03 1 2.891 65.155 0
3606.888 0.551 0.027 1 2.859 57.557 0
3605.974 0.545 0.047 0.965 2.867 60.498 0.035
3604.907 0.75 0.025 1 2.931 59.999 0
3603.992 0.63 0.05 1 2.897 60.712 0
3602.926 0.648 0.024 1 2.891 53.926 0
3601.859 0.566 0.042 1 2.875 65.364 0
3600.944 0.556 0.014 1 2.863 57.794 0
3599.878 0.58 0.02 1 2.871 62.971 0
3598.963 0.633 0 1 2.89 62.483 0
3597.896 0.749 0.027 1 2.928 63.287 0
3596.982 0.727 0.03 0.945 2.925 63.956 0.055
3595.915 0.832 0 1 2.941 57.129 0
3594.848 0.929 0 0.966 2.975 58.038 0.034
3593.934 0.903 0 1 2.966 55.398 0
3592.867 0.978 0.002 0.927 2.993 61.454 0.073
3591.953 0.96 0 0.899 2.986 58.625 0.101
3590.886 0.823 0 0.98 2.938 52.879 0.02
3589.972 0.914 0 1 2.97 55.428 0
3588.905 0.797 0 0.964 2.929 55.848 0.036

148
3587.99 0.657 0.008 1 2.886 57.305 0
3586.924 0.298 0.065 1 2.782 58.194 0
3585.857 0.541 0.033 0.928 2.858 59.216 0.072
3584.942 0.603 0.021 0.996 2.878 54.737 0.004
3583.875 0.659 0 1 2.887 53.983 0
3582.961 0.35 0.04 1 2.795 58.246 0
3581.894 0.415 0.046 1 2.822 59.213 0
3581.742 0.491 0.023 0.981 2.836 56.245 0.019
3581.59 0.341 0.043 1 2.79 55.156 0
3581.437 0.279 0.056 0.989 2.774 53.008 0.011
3581.285 0.391 0.029 1 2.806 45.699 0
3581.132 0.143 0.07 1 2.717 36.674 0
3580.98 0.034 0.103 1 2.675 36.823 0
3580.828 0.034 0.149 0.795 2.679 36.028 0.205
3580.675 0.146 0.122 0.867 2.732 43.209 0.133
3580.523 0.456 0.066 0.799 2.839 60.542 0.201
3580.37 0.582 0.035 0.915 2.878 66.069 0.085
3580.218 0.459 0.054 1 2.837 62.866 0
3580.066 0.252 0.088 1 2.764 61.737 0
3579.913 0.117 0.106 1 2.719 50.391 0
3579.761 0.249 0.085 0.979 2.762 50.8 0.021
3579.608 0.31 0.074 0.996 2.784 53.974 0.004
3579.456 0.36 0.045 1 2.801 54.698 0
3579.304 0.424 0.034 1 2.82 55.521 0
3578.389 0.62 0.033 0.9 2.885 63.83 0.1
3578.237 0.588 0.04 1 2.884 63.389 0
3578.084 0.606 0.017 1 2.876 58.127 0
3577.932 0.521 0.013 1 2.845 55.347 0
3576.865 0.532 0.023 1 2.854 59.846 0
3575.951 0.387 0.059 1 2.807 53.848 0
3575.036 0.561 0.033 1 2.869 58.147 0

209
Section VI | Production Engineering
5.1 Introduction
Gas reservoir deliverability is evaluated using well inflow performance
relationship (IPR). Gas well IPR determines gas production rate as a nonlinear function
of pressure drawdown (reservoir pressure minus bottom hole pressure). Gas well IPR
also depends on flow conditions, that is, transient, steady state, or pseudo steady state
flow, which are determined by reservoir boundary conditions. Both analytical methods
and empirical methods are discussed.
5.2 Constructing IPR
5.2.1 Analytical Methods
A general solution to pseudo steady state flow in a radial-flow gas reservoir is
expressed as (Economides 1994):
Where
 q:- is the gas production rate in Mscf/d
 k:- the effective permeability (md)
 h :- pay zone thickness in (ft)
 m(p) :- the real gas pseudo pressure in psi2/cp(pr)
 m(pwf):- the real gas pseudo pressure in psi2/cp at(pwf)
 T :- the reservoir temperature in R
 re :- the radius of drainage area in ft
 rw :- wellbore radius in ft
 s :- is skin factor
 D:- is the non-Darcy coefficient in d/Mscf.

210
Where pb is the base pressure, µis the average gas viscosity, and z is the Average gas
compressibility factor. Can then be simplified using a pressure-squared approach such
as:
At pressures higher than 3,000 Pisa, highly compressed gases behave like liquids.
Where: Bg is the average formation volume factor of gas in rb/scf.
5.2.2 Empirical Methods
Empirical models are therefore more attractive and widely employed in field
applications. Two commonly used empirical models are the Forchheimer model and
backpressure model. They take the following forms, respectively:

211
Where A, B, C, and n are empirical constants that can be determined based on test
points. The value of n is usually between 0.5 and 1. It is obvious that a multirate test is
required to estimate values of these constants. If two test points are (q1, pwf1) and (q2,
Pwf2)
The previous equation can be simplified using the pressure-squared approach as
follows:

212
5.3 Constructing TPR
Constructing tubing performance relationship (TPR):
5.3.1 Single-Phase Gas Well
Tubing Performance Relationship is defined as a relation between tubing size, fluid
properties, fluid flow rate, wellhead pressure, and bottom hole pressure. With no shaft
work device installed along the tubing string, the first law of thermodynamics yields the
following mechanical balance equation:
5.3.2 The Average Temperature and Compressibility Factor Method
If single, average values of temperature and compressibility factor over the entire
tubing length can be assumed.
Take the following forms when U.S. Field units (qsc in MSc/d), are used (Katz et al.
1959):

213
Guo (2001) used the following Nikuradse friction factor correlation for fully
turbulent flow in rough pipes:
5.3.3 The Cullender and Smith Method
Equation can be solved for bottomhole pressure using a fast numerical algorithm
originally developed by Cullender and Smith (Katz et al.1959). Equation can be
rearranged as:

214
The followung expressions are obtained:

215
Mist Flow in Gas Wells
In addition to gas, almost all gas wells produce a certain amount of liquids & solids
(water-gas condensate-sand-coal particles).These wells are called multiphase-gas wells.
It is warned that the four-phase flow model is valid only for gas wells producing
multiphase fluid with gas being the main component. To the governing equation and
applied the solution to aerated fluid hydraulics. The exact solution is summarized as
follows. According to Guo, Sun, and Ghalambor (2004) the following equation can be
used for calculating pressure P (in lb. /ft2) at depth L:

216
5.1 FUTURE PRIDICTIONFOR Gas
WELL IPR
We use here the procedure of Fetkovich & Vogel Combination for predicting the
Future IPR.Eckmier noted that if we take the equations of Fetkovich for Static Pressure
at time 1 and divide by the inflow equation for Static Pressure at time 2 we arrive at an
equation for determining qmaxat time 2 – by assuming n = 3 – after which we can use
Vogel’s equation directly for preparation of the IPR Curve. The future IPR Curves can be
used to determine the best size for the tubing to be used with a certain well. This can be
achieved by constructing the VLP Curves over the Predicted IPR Curves. The results are
shown on the next page.

217
Calculation of the Current IPR for BE-1
From given data of c & n and by using previous equations, we can
obtain the this table for IPR
0
1000
2000
3000
4000
5000
6000
0 50 100 150 200 250 300
initial IPR@PR=5425 psia
initial IPR@PR=5425 psia
0
1000
2000
3000
4000
5000
6000
0 50 100 150 200 250 300
pr qmax
5200 24771.649
q
(MMscf/day)
pwf (psia)
0 5200
38.83389554 5000
62.93368207 4800
82.9563568 4600
100.4639207 4400
116.1284954 4200
130.321165 4000
143.2754592 3800
155.1508758 3600
166.0626269 3400
176.0973753 3200
185.3223174 3000
193.7907792 2800
201.5458447 2600
208.6228059 2400
215.0508734 2200
220.8544033 2000
226.053797 1800
230.6661737 1600
234.7058793 1400
238.1848768 1200
241.1130466 1000
243.4984178 800
245.3473462 600
246.6646479 400
247.4536972 200
247.7164929 0

218
Predictive IPR for be-1 well
PREDICTIVE
PR 5200 Pr 4800 Pr 4600
Qmax 247.7164929 Qmax 220.8544033 Qmax 207.7786
IPR
Pwf Q Pwf Q Pwf Q
0 5200 0 4800 0 4600
38.83389554 5000 36.62497239 4600 35.50067 4400
62.93368207 4800 59.28147679 4400 57.42185 4200
82.9563568 4600 78.04273016 4200 75.53982 4000
100.4639207 4400 94.3877698 4000 91.29141 3800
116.1284954 4200 108.9535832 3800 105.2957 3600
130.321165 4000 122.0920342 3600 117.8948 3400
143.2754592 3800 134.0245821 3400 129.3039 3200
155.1508758 3600 144.9024326 3200 139.6701 3000
166.0626269 3400 154.8347169 3000 149.0993 2800
176.0973753 3200 163.9034068 2800 157.6711 2600
185.3223174 3000 172.1719242 2600 165.4468 2400
193.7907792 2800 179.6904467 2400 172.4751 2200
201.5458447 2600 186.499346 2200 178.7949 2000
208.6228059 2400 192.6315091 2000 184.4376 1800
215.0508734 2200 198.1139557 1800 189.4292 1600
220.8544033 2000 202.9689962 1600 193.7908 1400
226.053797 1800 207.2150777 1400 197.5397 1200
230.6661737 1600 210.8674119 1200 200.69 1000
234.7058793 1400 213.9384467 1000 203.2532 800
238.1848768 1200 216.4382218 800 205.2379 600
241.1130466 1000 218.3746365 600 206.6509 400
243.4984178 800 219.7536486 400 207.4969 200
245.3473462 600 220.579418 200 207.7786 0
246.6646479 400 220.8544033 0
247.4536972 200
247.7164929 0

219
TPR for well be-1
Outflow Performance At different tubing sizes
ID=3in ID=4in ID=5in
q(MMscf/d) pwf(psia) q(MMscf/d) pwf(psia) q(MMscf/d) pwf(psia)
32.33 6111.588 32.33 4935.132 32.33 4663.801
20.74 5227.568 20.74 4702.356 20.74 4590.859
26 5605.552 26 4799.267 26 4619.803
31.52 6030.545 31.52 4913.696 31.52 4660.416
26.52 5646.369 26.52 4811.409 26.52 4624.283
Optimum tubing size is 5"
Operating flow rate=95MMscf/d
Operating bottom hole pressure=4800 psia
0
1000
2000
3000
4000
5000
6000
7000
0 50 100 150 200 250 300
pwf(psia)
q(MMscf/d)
IPR TPR@ID=3in TPR@ID=4in
TPR@5in Expon. (TPR@ID=3in) Expon. (TPR@ID=4in)
Expon. (TPR@5in)

220
Calculation of the Current IPR for Well B2-lower
0
1000
2000
3000
4000
5000
6000
0 10 20 30 40 50 60
pwf(psia)
q(MMscf/d)
initial IPR@5360 psia
0
1000
2000
3000
4000
5000
6000
0 10 20 30 40 50
predective IPR
well BE2 lower
c n
0.00001 0.9
pr qmax(MMscf/d)
5390 psia 0.521026
q(MMscf/d) pwf
0 5390
4.7128607 5200
8.8493656 5000
12.621866 4800
16.12402 4600
19.398855 4400
22.471342 4200
25.357846 4000
28.069933 3800
30.616212 3600
33.00333 3400
35.236564 3200
37.320193 3000
39.25774 2800
41.052148 2600
42.70589 2400
44.221067 2200
45.599462 2000
46.842601 1800
47.951782 1600
48.928106 1400
49.772504 1200
50.485753 1000
51.068488 800
51.521216 600
51.844322 400
52.038078 200
52.102646 0

221
Predictive IPR for be-2 lower well
PREDICTIVE
pr qmax(MMscf/d) pr qmax(Mscf/d) pr qmax(Mscf/d)
5000 psia 0.455141 4800 psia 0.422897 4600 psia 0.391709
q(MMscf/d) pwf q(MMscf/d) pwf q(MMscf/d) pwf
0 5000 0 4800 0 4600
4.602889 4800 4.433453 4600 4.263294 4400
8.431369 4600 8.114524 4400 7.796297 4200
11.91657 4400 11.4592 4200 10.9998 4000
15.14224 4200 14.54841 4000 13.95187 3800
18.14756 4000 17.42002 3800 16.68908 3600
20.95548 3800 20.09622 3600 19.23287 3400
23.58109 3600 22.59164 3400 21.59735 3200
26.03511 3400 24.91661 3200 23.79251 3000
28.32551 3200 27.07886 3000 25.8258 2800
30.45846 3000 29.08434 2800 27.70296 2600
32.43886 2800 30.93777 2600 29.42854 2400
34.27065 2600 32.64295 2400 31.00617 2200
35.95709 2400 34.203 2200 32.43886 2000
37.50088 2200 35.62052 2000 33.72906 1800
38.90428 2000 36.89765 1800 34.87881 1600
40.16918 1800 38.03619 1600 35.88981 1400
41.2972 1600 39.03764 1400 36.76345 1200
42.28966 1400 39.90326 1200 37.50088 1000
43.14771 1200 40.63408 1000 38.10304 800
43.87227 1000 41.23094 800 38.57065 600
44.46411 800 41.6945 600 38.90428 400
44.92382 600 42.02526 400 39.1043 200
45.25186 400 42.22358 200 39.17095 0
45.44856 200 42.28966 0
45.51411 0

222
TPR FOR Well BE-2 lower
32.33 6111.588 32.33 4935.132 32.33 4663.801
20.74 5227.568 20.74 4702.356 20.74 4590.859
26 5605.552 26 4799.267 26 4619.803
31.52 6030.545 31.52 4913.696 31.52 4660.416
26.52 5646.369 26.52 4811.409 26.52 4624.283
Optimum tubing size is ID=5in
Operating flow rate is=16MMscf/d
Operating flow rates equal=4600psia
0
1000
2000
3000
4000
5000
6000
7000
0 10 20 30 40 50 60
IPR TPR@ ID=3in
TPR@ID=4in TPR@ ID=5in
Expon. (TPR@ ID=3in) Expon. (TPR@ID=4in)
Expon. (TPR@ ID=5in)

223
Calculation of the Current IPR for Well B2-upper
0
1000
2000
3000
4000
5000
6000
0 20 40 60 80 100 120
pwf
q(MMscf/d)
IPR@ pr=5000 IPR@ Pr=4800 IPR@ Pr=4600
Well BE-2upper
c n
0.000351 0.738
Pr q(max)
5354 111.9016
q(MMscf/d) pwf
0 5354
24.525696 5000
33.644614 4800
41.622621 4600
48.778752 4400
55.283013 4200
61.240362 4000
66.721656 3800
71.777705 3600
76.446546 3400
80.757589 3200
84.734135 3000
88.395003 2800
91.755618 2600
94.828765 2400
97.625137 2200
100.15372 2000
102.4221 1800
104.43669 1600
106.20287 1400
107.72516 1200
109.00731 1000
110.05237 800
110.86277 600
111.44033 400
111.78636 200
111.90162 0
0
1000
2000
3000
4000
5000
6000
0 20 40 60 80 100 120
IPR

224
Predictive IPR for be-2 upper well
predective
Pr q(max) Pr q(max) Pr q(max)
5000 101.1549 4800 95.23996 4600 89.44121
q
(MMscf/d)
pwf
q
(MMscf/d)
pwf
q
(MMscf/d)
pwf
0 5000 0 4800 0 4600
15.45226 4800 14.98427 4600 14.51103 4400
25.38304 4600 24.59817 4400 23.80431 4200
33.70941 4400 32.64478 4200 31.56767 4000
41.02636 4200 39.70231 4000 38.36239 3800
47.59245 4000 46.02216 3800 44.4326 3600
53.55143 3800 51.74412 3600 49.9141 3400
58.99422 3600 56.95662 3400 54.8928 3200
63.98317 3400 61.72031 3200 59.42759 3000
68.56348 3200 66.07909 3000 63.56108 2800
72.76921 3000 70.06606 2800 67.32535 2600
76.62683 2800 73.70689 2600 70.74527 2400
80.15737 2600 77.02193 2400 73.84049 2200
83.3778 2400 80.0276 2200 76.62683 2000
86.30205 2200 82.7373 2000 79.11714 1800
88.9416 2000 85.16203 1800 81.32193 1600
91.30601 1800 87.31093 1600 83.24984 1400
93.40325 1600 89.19153 1400 84.90796 1200
95.23996 1400 90.81006 1200 86.30205 1000
96.82165 1200 92.17163 1000 87.43675 800
98.15287 1000 93.28035 800 88.31569 600
99.2373 800 94.13946 600 88.9416 400
100.0778 600 94.75141 400 89.3164 200
100.6767 400 95.1179 200 89.44121 0
101.0354 200 95.23996 0
101.1549 0

225
TPR for well be-2 upper
Optimum tubing size is Id=5"
Operating flow rate=60MMscf/d
Operating bottom hole pressure=4000 psia
0
1000
2000
3000
4000
5000
6000
-20 0 20 40 60 80 100 120
IPR TPR@ID=3in
TPR@ ID=4in TPR@ID=5in
Expon. (TPR@ID=3in) Linear (TPR@ ID=4in)
Linear (TPR@ID=5in)
12.58 4043.255 12.58 3787.873 12.58 3734.1
19.16 4441.009 19.16 3883.159 19.16 3765.139
29.59 5280.676 29.59 4108.433 29.59 3838.917

226
Calculation of the Current IPR for Well BN-1 upper
0
1000
2000
3000
4000
5000
6000
0 10 20 30 40 50
IPR
0
1000
2000
3000
4000
5000
6000
0 10 20 30 40 50
pwf
q(MMscf/d)
IPR @ pr=5000 IPR@ pr=4400 IPR@ pr=4000
Well BN-1 upper
C n
0.00348 0.5496
Pr q(max)
5585 45.74115
q(MMscf/d) pwf
0 5585
10.19625 5400
15.10033 5200
18.80954 5000
21.87845 4800
24.52151 4600
26.84952 4400
28.92892 4200
30.80338 4000
32.50345 3800
34.05154 3600
35.46462 3400
36.75592 3200
37.93597 3000
39.01328 2800
39.99482 2600
40.88636 2400
41.69274 2200
42.41799 2000
43.06552 1800
43.6382 1600
44.13843 1400
44.56825 1200
44.92929 1000
45.22294 800
45.45025 600
45.61205 400
45.70891 200
45.74115 0

227
Predictive IPR for bn-1 upper well
predictive
Pr q(max) Pr q(max) Pr q(max)
5000 40.50299 4400 38.72573 4000 36.9558
0 5000 0 4400 0 4000
9.995469 4800 17.44628 4200 19.6744 3800
14.46531 4600 20.1839 4000 21.94883 3600
17.86826 4400 22.53095 3800 23.93511 3400
20.68308 4200 24.58562 3600 25.69132 3200
23.10101 4000 26.40726 3400 27.25579 3000
25.22231 3800 28.03508 3200 28.65542 2800
27.10763 3600 29.49662 3000 29.90992 2600
28.79702 3400 30.81204 2800 31.03421 2400
30.3186 3200 31.99665 2600 32.03983 2200
31.69302 3000 33.06232 2400 32.93593 2000
32.93593 2800 34.01845 2200 33.7298 1800
34.05952 2600 34.87259 2000 34.42735 1600
35.07344 2400 35.63087 1800 35.03334 1400
35.98547 2200 36.29829 1600 35.55168 1200
36.80196 2000 36.87895 1400 35.98547 1000
37.5281 1800 37.37619 1200 36.33724 800
38.16818 1600 37.79274 1000 36.60891 600
38.72573 1400 38.13077 800 36.80196 400
39.20368 1200 38.39199 600 36.91739 200
39.60439 1000 38.57769 400 36.9558 0
39.92979 800 38.68876 200
40.18139 600 38.72573 0
40.36032 400
40.46736 200
40.50299 0

228
Calculation of the Current IPR for Well BN-1 IV upper
0
1000
2000
3000
4000
5000
6000
0 10 20 30 40 50
IPR
0
1000
2000
3000
4000
5000
6000
0 5 10 15 20 25 30 35 40
pwf
q(mmscf/d)
IPR @ pr=5000 IPR@ Pr=4400 IPR@ Pr=4000
well BN-1 IV
c n
0.07133 0.3677
pr qmax
5561 40.50025
q(MMscf/d) pwf
0 5561
14.13107 5400
18.88773 5200
22.05882 5000
24.50307 4800
26.50758 4600
28.20896 4400
29.68444 4200
30.98258 4000
32.1361 3800
33.16826 3600
34.09622 3400
34.93306 3200
35.68894 3000
36.37196 2800
36.98862 2600
37.54425 2400
38.04323 2200
38.48919 2000
38.88516 1800
39.23367 1600
39.53681 1400
39.79633 1200
40.01368 1000
40.19001 800
40.32624 600
40.42307 400
40.48098 200
40.50025 0

229
Predictive IPR for BN-01 upper well
predictive
pr qmax pr qmax pr qmax
5000 37.4537 4400 34.09317 4000 31.78536
0 5000 0 4400 0 4000
14.68706 4800 13.99832 4200 13.50468 3800
18.80749 4600 17.90635 4000 17.25937 3600
21.66295 4400 20.60192 3800 19.83878 3400
23.89039 4200 22.69366 3600 21.8313 3200
25.72451 4000 24.40593 3400 23.45388 3000
27.28183 3800 25.85011 3200 24.81422 2800
28.62982 3600 27.09069 3000 25.97466 2600
29.81156 3400 28.1688 2800 26.97488 2400
30.8564 3200 29.11243 2600 27.84187 2200
31.78536 3000 29.94156 2400 28.59481 2000
32.61401 2800 30.67096 2200 29.24782 1800
33.35424 2600 31.31182 2000 29.81156 1600
34.01531 2400 31.87281 1800 30.29417 1400
34.60456 2200 32.36074 1600 30.702 1200
35.12791 2000 32.781 1400 31.03995 1000
35.59012 1800 33.13787 1200 31.31182 800
35.9951 1600 33.43476 1000 31.5205 600
36.34603 1400 33.67434 800 31.66811 400
36.64554 1200 33.85867 600 31.75612 200
36.89571 1000 33.98929 400 31.78536 0
37.09825 800 34.06725 200
37.25448 600 34.09317 0
37.36539 400
37.43166 200
37.4537 0

230
5.4 Well test
Flow after flow test

231
P=5364 BE#2
Flow after flow test
pwf
(psia)
Qo (bbl/day) P^2-Pwf^2 y=log(P^2-Pwf^2) x=logQo
5211.7 234.0 1610366.4071 6.206925 2.369216
5105.2 343.0 2709428.9600 6.432878 2.535294
4891.0 410.0 4850615.0000 6.685797 2.612784
y = 0.5046x - 0.7449
R² = 0.9437
2.35
2.4
2.45
2.5
2.55
2.6
2.65
6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8
Series1 Linear (Series1)

232
5.5 Isochronal test

233
y = 0.6124x - 0.986
R² = 0.9939
2.6
2.62
2.64
2.66
2.68
2.7
2.72
2.74
2.76
2.78
2.8
2.82
5.85 5.9 5.95 6 6.05 6.1 6.15 6.2
Series1 Linear (Series1)
BE#1 Isochronal test
Flow
Period
pwf qo Pr^2-Pwf^2
log (Pr^2-
Pwf^2)
Log(qo)
1 8h 5352 427.5 797572 5.901769899 2.630936
2 8h 5311 545.6 1234755 6.091580793 2.736874
3 8h 5284 638.8 1520820 6.182077815 2.805365

267
component
mole
%(Z)
Mwi Yi*Mwi Xi(L) Yi(G) Tci R Pci (psi) Tbi
N2 0.0009 28.01 0.025209 0 0.09 227.49 493.1 780.451
CO2 0.0202 44.1 0.89082 0.41 2.05 547.91 1071 350.743
H2S 0 34.08 0 0 0 584 1300 383.503
CH4 0.8899 16.04 14.273996 8.01 90.24 343.33 666.4 202
C2H6 0.0464 30.07 1.395248 2.21 4.68 549.92 706.5 332.51
C3H8 0.0105 44.1 0.46305 2.17 1.49 666.06 816 416.25
i-C4H10 0.0034 58.1 0.19754 0.97 0.33 743.46 527.9 470.78
n-C4H10 0.0039 58.1 0.22659 1.49 0.37 765.62 550.8 491.08
i-C5H12 0.0019 72.15 0.137085 1.41 0.17 829.8 490.4 542.12
n-C5H12 0.0014 72.2 0.10108 1.31 0.12 845.6 488.5 556.92
pseudo C6H14 0.0024 86.18 0.206832 4.42 0.17 913.7 436.9 615.72
pseudo C7H16 0.0032 96 0.3072 10.51 0.16 985 396.8 669.16
pseudo C8H18 0.0033 107 0.3531 16.31 0.08 1036 360.7 718.21
pseudo C9H20 0.0022 121 0.2662 12.38 0.03 1085 331.8 767.47
pseudo
C10H22
0.0014 134 0.1876 8.65 0.01 1128 305.2 805.48
pseudo
C11H24
0.0008 147 0.1176 5.23 0 1166 325 829
C12+ 0.0038 243.9 0.92682 24.61 0 1250 400
total 0.9956 0.2007597
First assuming T=60
Pressure = 100 Psi
p= 100 psi
component
mole
%
Mwi Pci Tbi
zi(k-1)/nv(ki-
1)+1
Ki Xi bi Fi
N2 0.09 28.01 493.1 780.451 -5.335 2.6434E-05 0 -2377.216113 1.525618
CO2 2.02 44.1 1071 350.743 -120.401 1.3434E-05 0.0041 2006.94514 1.862472
H2S 0 34.08 1300 383.503 0 1.1344E-05 0 2844.012668 1.946626
CH4 88.98 16.04 666.4 202 -5288.406 2.0324E-05 0.0801 547.1387118 1.656418
C2H6 4.64 30.07 706.5 332.51 -275.888 1.9314E-05 0.0221 1550.968434 1.681795
C3H8 1.5 44.1 816 416.25 -89.272 1.7032E-05 0.0217 3639.224075 1.744373
i-C4H10 0.34 58.1 527.9 470.78 -20.168 2.4907E-05 0.0097 7735.271691 1.555234
n-C4H10 0.39 58.1 550.8 491.08 -23.143 2.4001E-05 0.0149 13895.45552 1.573677
i-C5H12 0.19 72.15 490.4 542.12 -11.263 2.6561E-05 0.0141 -19412.4355 1.523233
n-C5H12 0.14 72.2 488.5 556.92 -8.298 2.6651E-05 0.0131 -11934.9307 1.521547
pseudo
C6H14
0.24 86.18 436.9 615.72 -14.210 2.9378E-05 0.0442 -4927.26295 1.473065

268
pseudo
C7H16
0.32 96 396.8 669.16 -18.92651212 3.1953E-05 0.1051 -3338.85650 1.431254
pseudo
C8H18
0.33 107 360.7 718.21 -19.495311 3.4726E-05 0.1631 -2618.72888 1.389829
pseudo
C9H20
0.22 121 331.8 767.47 -12.98259093 3.7352E-05 0.1238 -2182.82741 1.353559
pseudo
C10H22
0.14 134 305.2 805.48 -8.251876086 4.0177E-05 0.0865 -1932.66376 1.317267
pseudo
C11H24
0.08 147 325 829 -4.719595522 3.8033E-05 0.0523 -1875.77839 1.344566
C12+ 0.38 243.9 400 842 -22.47733331 3.1730E-05 0.2461 -1950.89355 1.434743
TOTAL 100 -5943.241885 1.0009
n 7.473 nl 0.016733408
b C12+ 3196.573 nv 0.983266592
Tb C12+ 694.0328
a 1.23696
c 0.876176
Pressure 15 Psi
p= 15 psi
bi Fi Xi(L) Mwi Xi*Mwi Ki zi(k-1)/nv(ki-
1)+1
-2377.22 1.525618 0 28.01 0 0.000183327 -5.33551916
2006.945 1.862472 0.002444 44.1 0.107783 9.21062E-05 -120.4040788
2844.013 1.946626 0 34.08 0 7.75545E-05 0
547.1387 1.656418 0.047614 16.04 0.763732 0.00014033 -5288.535049
1550.968 1.681795 0.013142 30.07 0.395193 0.000133238 -275.8951733
3639.224 1.744373 0.012917 44.1 0.569625 0.000117245 -89.27516824
7735.272 1.555234 0.005755 58.1 0.334375 0.000172562 -20.16928297
13895.46 1.573677 0.008844 58.1 0.51382 0.00016618 -23.14411909
-19412.4 1.523233 0.00836 72.15 0.60318 0.000184223 -11.26327564
-11934.9 1.521547 0.007767 72.2 0.560768 0.000184859 -8.298942858
-4927.26 1.473065 0.026176 86.18 2.255883 0.00020411 -14.21053566
-3338.86 1.431254 0.062177 96 5.969001 0.000222315 -18.92697032
-2618.73 1.389829 0.09638 107 10.31263 0.000241954 -19.49578242
-2182.83 1.353559 0.073077 121 8.842364 0.000260567 -12.98290452
-1932.66 1.317267 0.051 134 6.834047 0.000280625 -8.252075171
-1875.78 1.344566 0.030863 147 4.536904 0.0002654 -4.71970949
-1950.89 1.434743 0.145606 243.9 35.5133 0.000220736 -22.47787752
0.592123 78.1126 -5943.386465

269
n 7.369 nl 0.016684726 final liquid
b C12+ 3169.446 nv 0.983315274
Tb C12+ 689.3073 API 72.41770523
a 1.206784 GO 0.693907377
c 0.887442 GOR 1180.897124
Pressure = 80 Psi
p= 80 psi
component mole % Mwi Pci Tbi
zi(k-
1)/nv(ki-
1)+1
Ki Xi bi Fi
N2 0.09 28.01 493.1 780.451 5.320 3.3361E-05 0 -2377.216 1.525618
CO2 2.02 44.1 1071 350.743 120.056 1.6908E-05 0.0041 2006.945 1.862472
H2S 0 34.08 1300 383.503 0.000 1.4268E-05 0 2844.013 1.946626
CH4 88.98 16.04 666.4 202 5273.277 2.5623E-05 0.0801 547.139 1.656418
C2H6 4.64 30.07 706.5 332.51 275.099 2.4344E-05 0.0221 1550.968 1.681795
C3H8 1.5 44.1 816 416.25 89.017 2.1457E-05 0.0217 3639.224 1.744373
i-C4H10 0.34 58.1 527.9 470.78 20.111 3.1426E-05 0.0097 7735.272 1.555234
n-C4H10 0.39 58.1 550.8 491.08 23.077 3.0278E-05 0.0149 13895.456 1.573677
i-C5H12 0.19 72.15 490.4 542.12 11.231 3.352E-05 0.0141 -19412.436 1.523233
n-C5H12 0.14 72.2 488.5 556.92 8.275 3.3636E-05 0.0131 -11934.931 1.521547
pseudo C6H14 0.24 86.18 436.9 615.72 14.170 3.7095E-05 0.0442 -4927.263 1.473065
pseudo C7H16 0.32 96 396.8 669.16 18.873 4.0357E-05 0.1051 -3338.857 1.431254
pseudo C8H18 0.33 107 360.7 718.21 19.440 4.3874E-05 0.1631 -2618.729 1.389829
pseudo C9H20 0.22 121 331.8 767.47 12.946 4.7205E-05 0.1238 -2182.827 1.353559
pseudo C10H22 0.14 134 305.2 805.48 8.228 5.0791E-05 0.0865 -1932.664 1.317267
pseudo C11H24 0.08 147 325 829 4.706 4.8069E-05 0.0523 -1875.778 1.344566
C12+ 0.38 243.9 400 842 22.413 4.0074E-05 0.2461 -1950.894 1.434743
TOTAL 100 5926.2
n 7.473 nl 0.016733408
b C12+ 3196.573 nv 0.983266592
Tb C12+ 694.0328
a 1.23696
c 0.876176

270
Pressure = 15Psi
p= 15 psi
Fi bi Fi Xi(L) Mwi Xi*Mwi Ki zi(k-1)/nv(ki-
1)+1
1.52561 -2377.22 1.52561 0 28.01 0 0.00018332 5.320182291
1.86247 2006.94 1.86247 0.00243 44.1 0.10747 9.2106E-05 120.0561021
1.94662 2844.01 1.94662 0 34.08 0 7.7554E-05 0
1.65641 547.138 1.65641 0.04747 16.04 0.76151 0.00014033 5273.294486
1.68179 1550.96 1.68179 0.01315 30.07 0.39405 0.00013323 275.0997609
1.74437 3639.24 1.74437 0.01287 44.1 0.56791 0.00011724 89.01754144
1.55523 7735.27 1.55524 0.00573 58.1 0.33341 0.00017256 20.11126974
1.57367 13895.4
6
1.57367 0.00881 58.1 0.51231 0.00016618 23.07752414
1.52323 -19412.4 1.52323 0.00836 72.15 0.60146 0.00018422 11.23090124
1.52157 -11934.9 1.52154 0.00775 72.2 0.55915 0.00018485 8.275089832
1.47306 -4927.26 1.47305 0.02610 86.18 2.24940 0.00020411 14.16973783
1.43125 -3338.86 1.43124 0.06199 96 5.95188 0.00022231 18.87269018
1.38982 -2618.73 1.38982 0.09610 107 10.2839 0.00024194 19.43993572
1.35355 -2182.83 1.35355 0.07288 121 8.81702 0.00026056 12.94575505
1.31727 -1932.66 1.3177 0.05085 134 6.81451 0.00028062 8.228490418
1.34456 -1875.78 1.34456 0.03077 147 4.52396 0.0002654 4.706208287
1.43474
3
-1950.89 1.43474
3
0.14518
8
243.9 35.4114
4
0.00022073
6
22.41340782
77.8887
2
5926.259083
n 7.369 nl 0.016733352 final liquid 0.000280006
b C12+ 3169.446 nv 0.983266648
Tb C12+ 689.3073 API 72.6112078
a 1.206784 GO 0.693249536
c 0.887442 GOR 1183.168802

271
60 Pressure = 60Psi
psi
Mwi Pci Tbi
zi(k-1)/nv(ki-
1)+1
Ki Xi bi Fi
28.01 493.1 780.451 5.320141688 3.36763E-05 0 -2377.216113 1.525618
44.1 1071 350.743 120.0551809 1.70217E-05 0.0041 2006.94514 1.862472
34.08 1300 383.503 0 1.4354E-05 0 2844.012668 1.946626
16.04 666.4 202 5273.254138 2.58382E-05 0.0801 547.1387118 1.656418
30.07 706.5 332.51 275.0976552 2.45436E-05 0.0221 1550.968434 1.681795
44.1 816 416.25 89.01685942 2.16217E-05 0.0217 3639.224075 1.744373
58.1 527.9 470.78 20.11111616 3.17154E-05 0.0097 7735.271691 1.555234
58.1 550.8 491.08 23.07734784 3.05526E-05 0.0149 13895.45552 1.573677
72.15 490.4 542.12 11.23081553 3.38393E-05 0.0141 -19412.43554 1.523233
72.2 488.5 556.92 8.275026684 3.39551E-05 0.0131 -11934.93078 1.521547
86.18 436.9 615.72 14.16962982 3.74588E-05 0.0442 -4927.262951 1.473065
96 396.8 669.16 18.87254648 4.07693E-05 0.1051 -3338.856505 1.431254
107 360.7 718.21 19.43978787 4.43378E-05 0.1631 -2618.728888 1.389829
121 331.8 767.47 12.9456567 4.77177E-05 0.1238 -2182.827414 1.353559
134 305.2 805.48 8.228427979 5.13576E-05 0.0865 -1932.663716 1.317267
147 325 829 4.706172544 4.85948E-05 0.0523 -1875.77839 1.344566
243.9 400 842 22.41323715 4.04822E-05 0.2461 -1950.893555 1.434743
1.22754 5926.21374
nl 0.016733482
nv 0.983266518
Pressure = 15Psi
p= 15 psi
1)+1
-2377.22 1.525618 0 28.01 0 0.000183327 5.320153543
2006.945 1.862472 0.002437 44.1 0.107471 9.21062E-05 120.0554499
2844.013 1.946626 0 34.08 0 7.75545E-05 0
547.1387 1.656418 0.047477 16.04 0.761527 0.00014033 5273.265919
1550.968 1.681795 0.013104 30.07 0.394052 0.000133238 275.09827
3639.224 1.744373 0.012879 44.1 0.567978 0.000117245 89.01705856
7735.272 1.555234 0.005739 58.1 0.333412 0.000172562 20.111161
13895.46 1.573677 0.008818 58.1 0.512338 0.00016618 23.07739931
-19412.4 1.523233 0.008336 72.15 0.601443 0.000184223 11.23084055
-11934.9 1.521547 0.007745 72.2 0.559154 0.000184859 8.275045122
-4927.26 1.473065 0.026101 86.18 2.249395 0.00020411 14.16966136
-3338.86 1.431254 0.061998 96 5.95185 0.000222315 18.87258843

272
-2618.73 1.389829 0.096103 107 10.28304 0.000241954 19.43983104
-2182.83 1.353559 0.072868 121 8.817015 0.000260567 12.94568542
-1932.66 1.317267 0.050854 134 6.814478 0.000280625 8.22844621
-1875.78 1.344566 0.030775 147 4.523901 0.0002654 4.70618298
-1950.89 1.434743 0.145188 243.9 35.41125 0.000220736 22.41328698
77.8883 5926.22698
a 1.206784
c 0.887442
n 7.369 nl 0.016733444 final liquid 0.000280009
b C12+ 3169.446 nv 0.983266556
Tb C12+ 689.3073 API 72.61157147
GO 0.6932483
15 GOR 1183.173068
Pressure = 20Psi
psi
Mwi Pci Tbi
zi(k-1)/nv(ki-
1)+1
Ki Xi bi Fi
28.01 493.1 780.451 5.32015367 3.48306E05 0 2377.216113 1.525618
44.1 1071 350.743 120.0554528 1.76529E05 0.0041 2006.94514 1.862472
34.08 1300 383.503 0 1.48965E-05 0 2844.012668 1.946626
16.04 666.4 202 5273.266045 2.6752E-05 0.0801 547.1387118 1.656418
30.07 706.5 332.51 275.0982766 2.54169E-05 0.0221 1550.968434 1.681795
44.1 816 416.25 89.01706069 2.24023E-05 0.0217 3639.224075 1.744373
58.1 527.9 470.78 20.11116148 3.28104E-05 0.0097 7735.271691 1.555234
58.1 550.8 491.08 23.07739987 3.1612E-05 0.0149 13895.45552 1.573677
72.15 490.4 542.12 11.23084082 3.49985E-05 0.0141 -19412.43554 1.523233
72.2 488.5 556.92 8.275045319 3.51178E-05 0.0131 -11934.93078 1.521547
86.18 436.9 615.72 14.1696617 3.87263E-05 0.0442 -4927.262951 1.473065
96 396.8 669.16 18.87258888 4.21346E-05 0.1051 -3338.856505 1.431254
107 360.7 718.21 19.4398315 4.58074E-05 0.1631 -2618.728888 1.389829
121 331.8 767.47 12.94568572 4.92849E-05 0.1238 -2182.827414 1.353559
134 305.2 805.48 8.228446405 5.30288E-05 0.0865 -1932.663716 1.317267
147 325 829 4.706183092 5.01873E-05 0.0523 -1875.77839 1.344566
243.9 400 842 22.41328751 4.18392E-05 0.2461 -1950.893555 1.434743
5926.227121
7.409 nl 0.016733443
3179.89 nv 0.983266557
691.1273
1.21824

273
0.876176
Pressure = 15Psi
p= 15 psi
1)+1
-2377.22 1.525618 0 28.01 0 0.000183327 5.320151357
2006.945 1.862472 0.002437 44.1 0.107471 9.21062E-05 120.0554003
2844.013 1.946626 0 34.08 0 7.75545E-05 0
547.1387 1.656418 0.047477 16.04 0.761526 0.00014033 5273.263747
1550.968 1.681795 0.013104 30.07 0.394052 0.000133238 275.0981566
3639.224 1.744373 0.012879 44.1 0.567977 0.000117245 89.01702184
7735.272 1.555234 0.005739 58.1 0.333412 0.000172562 20.11115273
13895.46 1.573677 0.008818 58.1 0.512338 0.00016618 23.07738982
-19412.4 1.523233 0.008336 72.15 0.601442 0.000184223 11.23083594
-11934.9 1.521547 0.007745 72.2 0.559153 0.000184859 8.275041722
-4927.26 1.473065 0.026101 86.18 2.249394 0.00020411 14.16965554
-3338.86 1.431254 0.061998 96 5.951848 0.000222315 18.8725807
-2618.73 1.389829 0.096103 107 10.28303 0.000241954 19.43982308
-2182.83 1.353559 0.072868 121 8.817011 0.000260567 12.94568012
-1932.66 1.317267 0.050854 134 6.814475 0.000280625 8.228442849
-1875.78 1.344566 0.030775 147 4.523899 0.0002654 4.706181056
-1950.89 1.434743 0.145188 243.9 35.41123 0.000220736 22.41327779
1.0009 77.88827 5926.224538
n 7.369 nl 0.016733451 final liquid 0.000280008
b C12+ 3169.446 nv 0.983266549
Tb C12+ 689.3073 API 72.61159913
a 1.206784 GO 0.693248206
c 0.887442 GOR 1183.173393

274
Second assuming T=80
Pressure = 100Psi
p= 100 psi
component
mole
%
Mwi Pci Tbi
zi(k-
1)/nv(ki-
1)+1
Ki Xi bi Fi
N2 0.09 28.01 493.1 780.451 5.320 2.64344E-05 0 -2673.982 1.525618
CO2 2.02 44.1 1071 350.743 120.055 1.34343E-05 0.0041 1863.891 1.862472
H2S 0 34.08 1300 383.503 0.000 1.13443E-05 0 2575.960 1.946626
CH4 88.98 16.04 666.4 202 5273.266 2.03248E-05 0.0801 534.562 1.656418
C2H6 4.64 30.07 706.5 332.51 275.098 1.93144E-05 0.0221 1455.373 1.681795
C3H8 1.5 44.1 816 416.25 89.017 1.70323E-05 0.0217 3168.415 1.744373
i-C4H10 0.34 58.1 527.9 470.78 20.111 2.49072E-05 0.0097 5711.840 1.555234
n-C4H10 0.39 58.1 550.8 491.08 23.077 2.40011E-05 0.0149 8530.511 1.573677
i-C5H12 0.19 72.15 490.4 542.12 11.231 2.65614E-05 0.0141 -210338.951 1.523233
n-C5H12 0.14 72.2 488.5 556.92 8.275 2.66515E-05 0.0131 -27044.045 1.521547
pseudo C6H14 0.24 86.18 436.9 615.72 14.170 2.93785E-05 0.0442 -6468.271 1.473065
pseudo C7H16 0.32 96 396.8 669.16 18.873 3.19533E-05 0.1051 -4004.170 1.431254
pseudo C8H18 0.33 107 360.7 718.21 19.440 3.47269E-05 0.1631 -3024.645 1.389829
pseudo C9H20 0.22 121 331.8 767.47 12.946 3.73522E-05 0.1238 -2466.086 1.353559
pseudo
C10H22
0.14 134 305.2 805.48 8.228 4.01779E-05 0.0865 -2158.195 1.317267
pseudo
C11H24
0.08 147 325 829 4.706 3.80333E-05 0.0523 -2082.728 1.344566
C12+ 0.38 243.9 400 842 22.413 3.17301E-05 0.2461 -2160.095 1.434743
TOTAL 100 5926.227
n 7.52 nl 0.016733443
b C12+ 3208.801 nv 0.983266557
Tb C12+ 696.1616
a 1.2465
c 0.87265
Pressure 15 psi
p= 15 psi
bi Fi Xi(L) Mwi Xi*Mwi Ki
zi(k-1)/nv(ki-
1)+1
-
2673.982269
1.525618 0 28.01 0 0.000183327 5.320148608
1863.891401 1.862472 0.002437 44.1 0.107471 9.21062E-05 120.0553379
2575.95951 1.946626 0 34.08 0 7.75545E-05 0
534.5622416 1.656418 0.047477 16.04 0.761526 0.00014033 5273.261015

275
1455.373 1.681795 0.013104 30.07 0.394052 0.000133238 275.0980141
3168.415366 1.744373 0.012879 44.1 0.567977 0.000117245 89.01697566
5711.839598 1.555234 0.005739 58.1 0.333412 0.000172562 20.11114233
8530.510951 1.573677 0.008818 58.1 0.512338 0.00016618 23.07737789
-
210338.9514
1.523233 0.008336 72.15 0.601442 0.000184223 11.23083014
-
27044.04527
1.521547 0.007745 72.2 0.559153 0.000184859 8.275037447
-
6468.271497
1.473065 0.026101 86.18 2.249392 0.00020411 14.16964823
-
4004.170015
1.431254 0.061998 96 5.951845 0.000222315 18.87257097
-3024.64526 1.389829 0.096103 107 10.28303 0.000241954 19.43981307
-
2466.086162
1.353559 0.072868 121 8.817006 0.000260567 12.94567346
-
2158.194535
1.317267 0.050854 134 6.814472 0.000280625 8.228438621
-
2082.728122
1.344566 0.030775 147 4.523897 0.0002654 4.706178636
-
2160.095335
1.434743 0.145187 243.9 35.41122 0.000220736 22.41326624
0.590422 77.88823 5926.221469
n 7.384 nl 0.01673346 final liquid 0.000280008
b C12+ 1202.813 nv 0.98326654
Tb C12+ 335.9982 API 72.6116339
a 1.206784 GO 0.693248088
c 0.887442 GOR 1183.173801
Pressure 80 psi
psi
Mwi Pci Tbi
zi(k-1)/nv(ki-
1)+1
Ki Xi bi Fi
28.01 493.1 780.451 5.320153543 3.33611E-05 0 -2673.982269 1.525618
44.1 1071 350.743 120.0554499 1.69082E-05 0.0041 1863.891401 1.862472
34.08 1300 383.503 0 1.4268E-05 0 2575.95951 1.946626
16.04 666.4 202 5273.265919 2.56234E-05 0.0801 534.5622416 1.656418
30.07 706.5 332.51 275.09827 2.43445E-05 0.0221 1455.373 1.681795
44.1 816 416.25 89.01705856 2.14572E-05 0.0217 3168.415366 1.744373
58.1 527.9 470.78 20.111161 3.14261E-05 0.0097 5711.839598 1.555234
58.1 550.8 491.08 23.07739931 3.02784E-05 0.0149 8530.510951 1.573677
72.15 490.4 542.12 11.23084055 3.3522E-05 0.0141 -210338.9514 1.523233
72.2 488.5 556.92 8.275045122 3.36362E-05 0.0131 -27044.04527 1.521547
86.18 436.9 615.72 14.16966136 3.70925E-05 0.0442 -6468.271497 1.473065

276
96 396.8 669.16 18.87258843 4.0357E-05 0.1051 -4004.170015 1.431254
107 360.7 718.21 19.43983104 4.38748E-05 0.1631 -3024.64526 1.389829
121 331.8 767.47 12.94568542 4.72057E-05 0.1238 -2466.086162 1.353559
134 305.2 805.48 8.22844621 5.07916E-05 0.0865 -2158.194535 1.317267
147 325 829 4.70618298 4.80699E-05 0.0523 -2082.728122 1.344566
243.9 400 842 22.41328698 4.0074E-05 0.2461 -2160.095335 1.434743
5926.22698
nl 0.016733444
nv 0.983266556
Pressure 15 psi
p= 15 psi
1)+1
-
2673.982269
1.525618 0 28.01 0 0.000183327 5.320157734
1863.891401 1.862472 0.002437 44.1 0.107471 9.21062E-05 120.055545
2575.95951 1.946626 0 34.08 0 7.75545E-05 0
534.5622416 1.656418 0.047477 16.04 0.761527 0.00014033 5273.270084
1455.373 1.681795 0.013104 30.07 0.394052 0.000133238 275.0984874
3168.415366 1.744373 0.012879 44.1 0.567978 0.000117245 89.01712895
5711.839598 1.555234 0.005739 58.1 0.333412 0.000172562 20.11117685
8530.510951 1.573677 0.008818 58.1 0.512339 0.00016618 23.07741751
-
210338.9514
1.523233 0.008336 72.15 0.601443 0.000184223 11.2308494
-
27044.04527
1.521547 0.007745 72.2 0.559154 0.000184859 8.27505164
-
6468.271497
1.473065 0.026101 86.18 2.249396 0.00020411 14.16967251
-
4004.170015
1.431254 0.061998 96 5.951855 0.000222315 18.87260327
-3024.64526 1.389829 0.096103 107 10.28304 0.000241954 19.4398463
-
2466.086162
1.353559 0.072868 121 8.817022 0.000260567 12.94569557
-
2158.194535
1.317267 0.050854 134 6.814483 0.000280625 8.228452655
-
2082.728122
1.344566 0.030775 147 4.523905 0.0002654 4.70618667
-
2160.095335
1.434743 0.145188 243.9 35.41128 0.000220736 22.4133046
77.88836 5926.231659

277
n 7.384 nl 0.016733431 final liquid 0.000280008
b C12+ 3173.364 nv 0.983266569
Tb C12+ 689.9901 API 72.61151845
a 1.206784 GO 0.69324848
c 0.887442 GOR 1183.172446
Pressure 40 psi
psi
Mwi Pci Tbi
zi(k-1)/nv(ki-
1)+1
Ki Xi bi Fi
28.01 493.1 780.451 5.320155335 4.54568E-05 0 -2673.982269 1.525618
44.1 1071 350.743 120.0554905 2.30386E-05 0.0041 1863.891401 1.862472
34.08 1300 383.503 0 1.94411E-05 0 2575.95951 1.946626
16.04 666.4 202 5273.2677 3.49137E-05 0.0801 534.5622416 1.656418
30.07 706.5 332.51 275.0983629 3.31711E-05 0.0221 1455.373 1.681795
44.1 816 416.25 89.01708866 2.92369E-05 0.0217 3168.415366 1.744373
58.1 527.9 470.78 20.11116778 4.28203E-05 0.0097 5711.839598 1.555234
58.1 550.8 491.08 23.07740709 4.12564E-05 0.0149 8530.510951 1.573677
72.15 490.4 542.12 11.23084434 4.5676E-05 0.0141 -210338.9514 1.523233
72.2 488.5 556.92 8.275047909 4.58317E-05 0.0131 -27044.04527 1.521547
86.18 436.9 615.72 14.16966612 5.05411E-05 0.0442 -6468.271497 1.473065
96 396.8 669.16 18.87259478 5.49893E-05 0.1051 -4004.170015 1.431254
107 360.7 718.21 19.43983756 5.97825E-05 0.1631 -3024.64526 1.389829
121 331.8 767.47 12.94568976 6.4321E-05 0.1238 -2466.086162 1.353559
134 305.2 805.48 8.228448966 6.92071E-05 0.0865 -2158.194535 1.317267
147 325 829 4.706184558 6.54986E-05 0.0523 -2082.728122 1.344566
243.9 400 842 22.41329451 5.46036E-05 0.2461 -2160.095335 1.434743
1.22754 5926.22898
0.876176
7.456
3192.145
693.2618
nl 0.016733438
nv 0.983266562

278
Pressure 15 psi
p= 15 psi
1)+1
-
2377.216113
1.525618 0 28.01 0 0.000183327 5.32013188
2006.94514 1.862472 0.002437 44.1 0.107471 9.21062E-05 120.0549584
2844.012668 1.946626 0 34.08 0 7.75545E-05 0
547.1387118 1.656418 0.047477 16.04 0.761524 0.00014033 5273.244392
1550.968434 1.681795 0.013104 30.07 0.39405 0.000133238 275.0971465
3639.224075 1.744373 0.012879 44.1 0.567975 0.000117245 89.01669467
7735.271691 1.555234 0.005739 58.1 0.33341 0.000172562 20.11107906
13895.45552 1.573677 0.008818 58.1 0.512336 0.00016618 23.07730525
-
19412.43554
1.523233 0.008336 72.15 0.60144 0.000184223 11.23079483
-
11934.93078
1.521547 0.007744 72.2 0.559151 0.000184859 8.27501143
-
4927.262951
1.473065 0.026101 86.18 2.249385 0.00020411 14.16960373
-
3338.856505
1.431254 0.061998 96 5.951826 0.000222315 18.87251176
-
2618.728888
1.389829 0.096103 107 10.28299 0.000241954 19.43975215
-
2182.827414
1.353559 0.072868 121 8.816979 0.000260567 12.94563294
-
1932.663716
1.317267 0.050854 134 6.81445 0.000280625 8.228412897
-1875.77839 1.344566 0.030775 147 4.523883 0.0002654 4.70616391
-
1950.893555
1.434743 0.145187 243.9 35.41111 0.000220736 22.41319592
77.88798 5926.202788
a 1.206784
c 0.887442
n 7.384 nl 0.016733513 final liquid 0.000280009
b C12+ 3173.364 nv 0.983266487
Tb C12+ 689.9901 API 72.61184553
GO 0.69324737
GOR 1183.176284

279
Pressure 20 psi
psi
Mwi Pci Tbi
zi(k-1)/nv(ki-
1)+1
Ki Xi bi Fi
28.01 493.1 780.451 5.320154453 6.96611E-05 0 -2673.982269 1.525618
44.1 1071 350.743 120.0554705 3.53058E-05 0.0041 1863.891401 1.862472
34.08 1300 383.503 0 2.97929E-05 0 2575.95951 1.946626
16.04 666.4 202 5273.266823 5.3504E-05 0.0801 534.5622416 1.656418
30.07 706.5 332.51 275.0983172 5.08337E-05 0.0221 1455.373 1.681795
44.1 816 416.25 89.01707384 4.48046E-05 0.0217 3168.415366 1.744373
58.1 527.9 470.78 20.11116444 6.56207E-05 0.0097 5711.839598 1.555234
58.1 550.8 491.08 23.07740327 6.32241E-05 0.0149 8530.510951 1.573677
72.15 490.4 542.12 11.23084248 6.9997E-05 0.0141 -210338.9514 1.523233
72.2 488.5 556.92 8.275046537 7.02355E-05 0.0131 -27044.04527 1.521547
86.18 436.9 615.72 14.16966378 7.74526E-05 0.0442 -6468.271497 1.473065
96 396.8 669.16 18.87259166 8.42693E-05 0.1051 -4004.170015 1.431254
107 360.7 718.21 19.43983435 9.16147E-05 0.1631 -3024.64526 1.389829
121 331.8 767.47 12.94568762 9.85698E-05 0.1238 -2466.086162 1.353559
134 305.2 805.48 8.22844761 0.000106058 0.0865 -2158.194535 1.317267
147 325 829 4.706183781 0.000100375 0.0523 -2082.728122 1.344566
243.9 400 842 22.41329081 8.36783E-05 0.2461 -2160.095335 1.434743
5926.227996
nl 0.016733441
nv 0.983266559
Pressure 15 psi
p= 15 psi GOR 1183.176284
zi(k-1)/nv(ki-
1)+1
-
2377.216113
1.525618 0 28.01 0 0.000183327 5.32015367
2006.94514 1.862472 0.002437 44.1 0.107471 9.21062E-05 120.0554528
2844.012668 1.946626 0 34.08 0 7.75545E-05 0
547.1387118 1.656418 0.047477 16.04 0.761527 0.00014033 5273.266045
1550.968434 1.681795 0.013104 30.07 0.394052 0.000133238 275.0982766
3639.224075 1.744373 0.012879 44.1 0.567978 0.000117245 89.01706069
7735.271691 1.555234 0.005739 58.1 0.333412 0.000172562 20.11116148
13895.45552 1.573677 0.008818 58.1 0.512338 0.00016618 23.07739987

280
-
19412.43554
1.523233 0.008336 72.15 0.601443 0.000184223 11.23084082
-
11934.93078
1.521547 0.007745 72.2 0.559154 0.000184859 8.275045319
-
4927.262951
1.473065 0.026101 86.18 2.249395 0.00020411 14.1696617
-
3338.856505
1.431254 0.061998 96 5.95185 0.000222315 18.87258888
-
2618.728888
1.389829 0.096103 107 10.28304 0.000241954 19.4398315
-
2182.827414
1.353559 0.072868 121 8.817015 0.000260567 12.94568572
-
1932.663716
1.317267 0.050854 134 6.814478 0.000280625 8.228446405
-1875.77839 1.344566 0.030775 147 4.523901 0.0002654 4.706183092
-
1950.893555
1.434743 0.145188 243.9 35.41125 0.000220736 22.41328751
77.8883 5926.227121
n 7.384 nl 0.016733443 final liquid 0.000280008
b C12+ 3173.364 nv 0.983266557
Tb C12+ 689.9901 API 72.61156987
a 1.206784 GO 0.693248306
c 0.887442 GOR 1183.17305
Third assuming T=90
Pressure = 100 psi
Pci Tbi zi(k-
1)/nv(ki-
1)+1
Ki Xi bi Fi
493.1 780.451 5.32013188 2.64344E-05 0 -2841.681785 1.525617668
1071 350.743 120.0549584 1.34343E-05 0.0041 1803.133568 1.862472136
1300 383.503 0 1.13443E-05 0 2466.0823 1.946626018
666.4 202 5273.244392 2.03248E-05 0.0801 528.8160957 1.656417654
706.5 332.51 275.0971465 1.93144E-05 0.0221 1414.168374 1.681794831
816 416.25 89.01669467 1.70323E-05 0.0217 2985.811988 1.744372824
527.9 470.78 20.11107906 2.49072E-05 0.0097 5083.252577 1.555234327
550.8 491.08 23.07730525 2.40011E-05 0.0149 7213.859585 1.573676597
490.4 542.12 11.23079483 2.65614E-05 0.0141 57636.58991 1.523233127
488.5 556.92 8.27501143 2.66515E-05 0.0131 -67349.57324 1.521547233
436.9 615.72 14.16960373 2.93785E-05 0.0442 -7590.497136 1.47306471
396.8 669.16 18.87251176 3.19533E-05 0.1051 -4420.577212 1.431254329

281
360.7 718.21 19.43975215 3.47269E-05 0.1631 -3263.800733 1.389828808
331.8 767.47 12.94563294 3.73522E-05 0.1238 -2627.253318 1.353559047
305.2 805.48 8.228412897 4.01779E-05 0.0865 -2284.201538 1.317267195
325 829 4.70616391 3.80333E-05 0.0523 -2197.329318 1.344566026
400 842 22.41319592 3.17301E-05 0.2461 -2275.442891 1.434742657
5926.202788
nl 0.016733513
nv 0.983266487
Pressure 15 psi
p= 15 psi
1)+1
-
2841.681785
1.525617668 0 28.01 0 0.000183327 5.320145065
1803.133568 1.862472136 0.002437 44.1 0.107471 9.21062E-05 120.0552575
2466.0823 1.946626018 0 34.08 0 7.75545E-05 0
528.8160957 1.656417654 0.047477 16.04 0.761525 0.00014033 5273.257494
1414.168374 1.681794831 0.013104 30.07 0.394051 0.000133238 275.0978303
2985.811988 1.744372824 0.012879 44.1 0.567977 0.000117245 89.01691613
5083.252577 1.555234327 0.005739 58.1 0.333411 0.000172562 20.11112893
7213.859585 1.573676597 0.008818 58.1 0.512337 0.00016618 23.0773625
57636.58991 1.523233127 0.008336 72.15 0.601442 0.000184223 11.23082266
-
67349.57324
1.521547233 0.007744 72.2 0.559153 0.000184859 8.275031935
-
7590.497136
1.47306471 0.026101 86.18 2.249391 0.00020411 14.1696388
-
4420.577212
1.431254329 0.061998 96 5.951841 0.000222315 18.87255843
-
3263.800733
1.389828808 0.096103 107 10.28302 0.000241954 19.43980016
-
2627.253318
1.353559047 0.072868 121 8.817001 0.000260567 12.94566488
-
2284.201538
1.317267195 0.050854 134 6.814467 0.000280625 8.228433172
-
2197.329318
1.344566026 0.030775 147 4.523894 0.0002654 4.706175516
-
2275.442891
1.434742657 0.145187 243.9 35.41119 0.000220736 22.41325134
0.590421 77.88817 5926.217511

282
n 7.3915 nl 0.016733471 final liquid 0.00028001
b C12+ 3175.323 nv 0.983266529
Tb C12+ 690.3314 API 72.61167873
a 1.206784 GO 0.693247936
c 0.887442 GOR 1183.174327
Pressure 80 psi
Pci Tbi zi(k-1)/nv(ki-
1)+1
Ki Xi bi Fi
493.1 780.451 5.320141688 4.49017E-05 0 -2377.216113 1.525617668
1071 350.743 120.0551809 2.26955E-05 0.0041 2006.94514 1.862472136
1300 383.503 0 1.91387E-05 0 2844.012668 1.946626018
666.4 202 5273.254138 3.4451E-05 0.0801 547.1387118 1.656417654
706.5 332.51 275.0976552 3.27248E-05 0.0221 1550.968434 1.681794831
816 416.25 89.01685942 2.8829E-05 0.0217 3639.224075 1.744372824
527.9 470.78 20.11111616 4.22873E-05 0.0097 7735.271691 1.555234327
550.8 491.08 23.07734784 4.07367E-05 0.0149 13895.45552 1.573676597
490.4 542.12 11.23081553 4.51191E-05 0.0141 -19412.43554 1.523233127
488.5 556.92 8.275026684 4.52734E-05 0.0131 -11934.93078 1.521547233
436.9 615.72 14.16962982 4.9945E-05 0.0442 -4927.262951 1.47306471
396.8 669.16 18.87254648 5.4359E-05 0.1051 -3338.856505 1.431254329
360.7 718.21 19.43978787 5.9117E-05 0.1631 -2618.728888 1.389828808
331.8 767.47 12.9456567 6.36236E-05 0.1238 -2182.827414 1.353559047
305.2 805.48 8.228427979 6.84767E-05 0.0865 -1932.663716 1.317267195
325 829 4.706172544 6.47931E-05 0.0523 -1875.77839 1.344566026
400 842 22.41323715 5.39763E-05 0.2461 -1950.893555 1.434742657
5926.21374
nl 0.016733482
nv 0.983266518
Pressure 15 psi
p= 15 psi
zi(k-1)/nv(ki-
1)+1
-
2377.216113
1.525617668 0 28.01 0 0.000183327 5.320153543
2006.94514 1.862472136 0.002437 44.1 0.107471 9.21062E-05 120.0554499
2844.012668 1.946626018 0 34.08 0 7.75545E-05 0
547.1387118 1.656417654 0.047477 16.04 0.761527 0.00014033 5273.265919
1550.968434 1.681794831 0.013104 30.07 0.394052 0.000133238 275.09827

283
3639.224075 1.744372824 0.012879 44.1 0.567978 0.000117245 89.01705856
7735.271691 1.555234327 0.005739 58.1 0.333412 0.000172562 20.111161
13895.45552 1.573676597 0.008818 58.1 0.512338 0.00016618 23.07739931
-
19412.43554
1.523233127 0.008336 72.15 0.601443 0.000184223 11.23084055
-
11934.93078
1.521547233 0.007745 72.2 0.559154 0.000184859 8.275045122
-
4927.262951
1.47306471 0.026101 86.18 2.249395 0.00020411 14.16966136
-
3338.856505
1.431254329 0.061998 96 5.95185 0.000222315 18.87258843
-
2618.728888
1.389828808 0.096103 107 10.28304 0.000241954 19.43983104
-
2182.827414
1.353559047 0.072868 121 8.817015 0.000260567 12.94568542
-
1932.663716
1.317267195 0.050854 134 6.814478 0.000280625 8.22844621
-1875.77839 1.344566026 0.030775 147 4.523901 0.0002654 4.70618298
-
1950.893555
1.434742657 0.145188 243.9 35.41125 0.000220736 22.41328698
77.8883 5926.22698
a 1.206784
c 0.887442
n 7.3915 nl 0.016733444 final liquid 0.000280009
b C12+ 3175.323 nv 0.983266556
Tb C12+ 690.3314 API 72.61157147
GO 0.6932483
GOR 1183.173068
Pressure 60 psi
Pci Tbi
zi(k-1)/nv(ki-
1)+1
Ki Xi bi Fi
493.1 780.451 5.320226865 3.33611E-05 0 -2841.681785 1.525617668
1071 350.743 120.0571134 1.69082E-05 0.0041 1803.133568 1.862472136
1300 383.503 0 1.4268E-05 0 2466.0823 1.946626018
666.4 202 5273.33878 2.56234E-05 0.0801 528.8160957 1.656417654
706.5 332.51 275.1020727 2.43445E-05 0.0221 1414.168374 1.681794831
816 416.25 89.0182902 2.14572E-05 0.0217 2985.811988 1.744372824
527.9 470.78 20.11143835 3.14261E-05 0.0097 5083.252577 1.555234327
550.8 491.08 23.07771769 3.02784E-05 0.0149 7213.859585 1.573676597
490.4 542.12 11.23099533 3.3522E-05 0.0141 57636.58991 1.523233127

284
488.5 556.92 8.275159158 3.36362E-05 0.0131 -67349.57324 1.521547233
436.9 615.72 14.1698564 3.70925E-05 0.0442 -7590.497136 1.47306471
396.8 669.16 18.87284794 4.0357E-05 0.1051 -4420.577212 1.431254329
360.7 718.21 19.44009803 4.38748E-05 0.1631 -3263.800733 1.389828808
331.8 767.47 12.94586302 4.72057E-05 0.1238 -2627.253318 1.353559047
305.2 805.48 8.228558965 5.07916E-05 0.0865 -2284.201538 1.317267195
325 829 4.706247527 4.80699E-05 0.0523 -2197.329318 1.344566026
400 842 22.4135952 4.0074E-05 0.2461 -2275.442891 1.434742657
5926.308861
nl 0.016733211
nv 0.983266789
Pressure 15 psi
p= 15 psi
1)+1
-
2841.681785
1.525617668 0 28.01 0 0.000183327 5.320081419
1803.133568 1.862472136 0.002437 44.1 0.10747 9.21062E-05 120.0538135
2466.0823 1.946626018 0 34.08 0 7.75545E-05 0
528.8160957 1.656417654 0.047476 16.04 0.761516 0.00014033 5273.194248
1414.168374 1.681794831 0.013104 30.07 0.394047 0.000133238 275.0945295
2985.811988 1.744372824 0.012879 44.1 0.56797 0.000117245 89.01584703
5083.252577 1.555234327 0.005739 58.1 0.333407 0.000172562 20.11088818
7213.859585 1.573676597 0.008818 58.1 0.512331 0.00016618 23.07708614
57636.58991 1.523233127 0.008336 72.15 0.601434 0.000184223 11.23068831
-
67349.57324
1.521547233 0.007744 72.2 0.559146 0.000184859 8.274932949
-
7590.497136
1.47306471 0.026101 86.18 2.249364 0.00020411 14.1694695
-
4420.577212
1.431254329 0.061998 96 5.95177 0.000222315 18.87233317
-
3263.800733
1.389828808 0.096102 107 10.2829 0.000241954 19.4395684
-
2627.253318
1.353559047 0.072867 121 8.816896 0.000260567 12.94551071
-
2284.201538
1.317267195 0.050854 134 6.814386 0.000280625 8.228335297
-
2197.329318
1.344566026 0.030774 147 4.52384 0.0002654 4.706119488
-
2275.442891
1.434742657 0.145186 243.9 35.41077 0.000220736 22.4129838
77.88725 5926.146435

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