Exercise 1. P-t Diagram Of Propane

Properties of Reservoir Fluids. Workshop1. Juan Manuel Villanueva Tabares, 20172161140

Exercise 1. P-T Diagram of Propane

Temperature (deg F) 0.6674 4.2071 7.7468 11.2865 14.8262 18.3659 21.9056 25.4453 28.985 32.5247 36.0644 39.6041 43.1438 46.6835 50.2232 53.7629 57.3026 60.8423 64.382 67.9217 71.4614 75.0011 78.5408 82.0805 85.6202 89.1599 92.6996 96.2393 99.779 103.319

2-Phase boundary 38.8577 41.6108 44.5097 47.5596 50.7654 54.1322 57.665 61.3691 65.2496 69.3118 73.5611 78.0028 82.6424 87.4853 92.5371 97.8034 103.29 109.002 114.946 121.127 127.551 134.225 141.153 148.343 155.799 163.531 171.541 179.836 188.423 197.308

Temperature (deg F) 106.858 110.398 113.938 117.477 121.017 124.557 128.097 131.636 135.176 138.716 142.255 145.795 149.335 152.874 156.414 159.954 163.494 167.033 170.573 174.113 177.652 181.192 184.732 188.271 191.811 195.351 198.891 202.43 205.97

2-Phase boundary 206.498 216 225.819 235.962 246.436 257.248 268.404 279.911 291.777 304.008 316.611 329.594 342.964 356.728 370.893 385.467 400.458 415.873 431.721 448.008 464.744 481.936 499.592 517.721 536.332 555.414 575.017 595.129 615.76

Temperature (deg F) Critical 205.97 615.76

Critical Temperature and Critical Pressure of Propane are 205.97 °F and 615.76 psia, respectively. When the temperature increases, the diagram moves to the right side. Left side of the line corresponds to the liquid phase of propane and the right side to the vapor phase.

Properties of Reservoir Fluids. Workshop1. Juan Manuel Villanueva Tabares, 20172161140

Exercise 2. Vapor Pressure of n-hexane

Vapor Pressure of n-hexane

Pressure, psia

1000.00

100.00

10.00 0.0009

0.0013

0.0017

Temperature-1 , R-1

Temperature (R-1) Vapor Pressure (psia) 0.001625039 14.70 0.00151729 29.40 0.001372175 73.50 0.001263312 147.00 0.001151318 293.90 0.001094128 435.00

The heat of vaporization of n-hexane corresponds to an inverse behavior, if the temperature (expressed as 1/T) increases, the vapor pressure decreases. It can be considered linear (almost a straight line) but It can turns into a some type of curve for other range of temperatures.

Properties of Reservoir Fluids. Workshop1. Juan Manuel Villanueva Tabares, 20172161140

Exercise 3. Pressure-Volumen Diagram of Propane

Burbuja Presión (psia) Temperatura 615.646 205.95 526.748 190 243.392 120 144.085 80 78.512 40 39.11 1 T=40 P

T=190 P

T=280

T=80 P

V 400 350 250 150 78 78 10

Rocio Volumen Presión Temperatura 0.07899955 615.646 205.97 0.14270628 526.748 190 0.4214075 243.392 120 0.74343915 144.085 80 1.36649358 78.512 40 2.6652452 39.11 1

0.028668903 0.028718632 0.028833317 0.028953197 0.029042414 1.366493577 11.99040767

450 400 300 250 144 144 40

V 0.03085963 0.03095736 0.03116255 0.03127052 0.03151224 0.74343915 3.13283208

T=120 P

V 500 400 300 243 243 150 50

T=240 V P V 600 0.048278393 700 0.05336379 800 526 0.052700645 615 0.07899955 600 526 0.142706282 615 0.07899955 450 400 0.266588467 500 0.195534 350 300 0.40763085 400 0.28677947 250 200 0.677460877 200 0.70318543 150 100 1.47275405 100 1.51699029 50 T=320 T=360 900 0.106315118 1000 0.11538284 1100 800 0.132062016 900 0.13552523 900 700 0.165812731 800 0.16150914 700 600 0.210490865 700 0.19541555 500 500 0.272271836 600 0.24086519 300 300 0.515437349 500 0.30452525 100 100 1.718213058 300 0.5585656 50 V

0.034071202 0.034480024 0.03493938 0.035227021 0.421407501 0.797511763 2.688894864

T=205.95 P

0.085392721 0.172932591 0.275368305 0.387236679 0.584897935 1.041558171 3.314550878 0.120692777 0.158576616 0.220609323 0.334057124 0.599952004 1.930129319 3.924646782

Properties of Reservoir Fluids. Workshop1. Juan Manuel Villanueva Tabares, 20172161140

Exercise 4. Saturated Propane Density

Temperature (°F) Liquid Density Vapor Density Average Density (g/cm3) 205.97 1.236 1.236 1.23633 200 1.6296 0.8908 1.260185 190 1.89751 0.70074 1.299125 170 2.25399 0.49175 1.37287 150 2.52072 0.36323 1.441975 130 2.74083 0.27306 1.506945 100 3.01599 0.17915 1.59757 95 3.05701 0.16688 1.611945 50 3.38055 0.08571 1.73313 30 3.50317 0.06218 1.782675 10 3.61555 0.04414 1.829845 For higher values of density, propane is liquid. That’s why LPG bottles have liquid mixtures of Propane and Butane in some homes. For lower values of density, propane is gas. Higher values of density are found when the temperature is near to zero.

Properties of Reservoir Fluids. Workshop1. Juan Manuel Villanueva Tabares, 20172161140

Exercise 5. Mixture of Ethane and Propane

Phase Diagram of mixture of Ethane and Propane

Pressure, psia

800 700

Eth100-Prop0

600

Eth90-Prop10

500

Eth85.16-Prop14.86

400

Eth70-Prop30

300

Eth50.02-Prop49.98

200

Eth30.02-Prop69.98

100

Eth14.98-Prop85.02 Eth0-Prop100

0 -200

-150

-100

-50

0

50

100

150

200

250

Eth10-Prop90

Temperature, °F

For the same temperature, burble point and dew point pressures goes down when the average weight of the mixture increase. For the same pressure, burble point and dew point temperatures move to the right when the average weight of the mixture increase. Critical pressure for this mixture is about 700 psia for a temperatura of 140 °F . The mixture is 100% liquid to the left side and 100% vapor to the right side of the diagram. 100-0 Temperature (deg F) -148 -145.62 -143.239 -140.859 -138.478 -136.098 -133.717 -131.337 -128.956 -126.576 -124.195 -121.815 -119.434 -117.054 -114.673 -112.293 -109.912 -107.532 -105.151 -102.771 -100.39 -98.0095 -95.629 -93.2485 -90.868 -88.4875 -86.107 -83.7265 -81.346 -78.9655 -76.585 -74.2045 -71.824 -69.4435

2-Phase boundary 7.71634 8.36475 9.05562 9.79085 10.5724 11.4023 12.2826 13.2153 14.2026 15.2466 16.3495 17.5136 18.741 20.0341 21.3953 22.8268 24.3311 25.9105 27.5676 29.3048 31.1246 33.0296 35.0224 37.1054 39.2814 41.553 43.9228 46.3936 48.968 51.6489 54.4389 57.3408 60.3576 63.4919

Temperature (deg F) 90.05

Critical 708.345

Properties of Reservoir Fluids. Workshop1. Juan Manuel Villanueva Tabares, 20172161140 -67.063 -64.6825 -62.302 -59.9215 -57.541 -55.1605 -52.78 -50.3995 -48.019 -45.6385 -43.258 -40.8775 -38.497 -36.1165 -33.736 -31.3555 -28.975 -26.5945 -24.214 -21.8335 -19.453 -17.0725 -14.692 -12.3115 -9.931 -7.5505 -5.17 -2.7895 -0.409 1.9715 4.352 6.7325 9.113 11.4935 13.874 16.2545 18.635 21.0155 23.396 25.7765 28.157 30.5375 32.918 35.2985 37.679 40.0595 42.44 44.8205 47.201 49.5815 51.962 54.3425 56.723 59.1035 61.484 63.8645 66.245 68.6255 71.006 73.3865 75.767 78.1475 80.528 82.9085 85.289 87.6695 90.05

66.7466 70.1247 73.629 77.2624 81.0279 84.9283 88.9668 93.1462 97.4696 101.94 106.56 111.334 116.264 121.353 126.604 132.022 137.607 143.365 149.298 155.411 161.705 168.183 174.849 181.706 188.759 196.009 203.461 211.118 218.983 227.06 235.351 243.862 252.594 261.552 270.739 280.159 289.815 299.711 309.85 320.237 330.874 341.766 352.917 364.329 376.008 387.956 400.178 412.677 425.457 438.524 451.879 465.528 479.475 493.723 508.277 523.14 538.319 553.815 569.635 585.781 602.259 619.074 636.228 653.703 671.559 689.77 708.345

Properties of Reservoir Fluids. Workshop1. Juan Manuel Villanueva Tabares, 20172161140 90-10 Temperature (deg F) 90 101.028 105.436 106.169 106.205 106.343 102.927 68.5663 50.375 25.0712 -5.12276 -31.683 -55.097 -75.8164 -94.2371 -110.698 -125.485 -138.839 -150.96 -150.96 -138.839 -125.485 -110.698 -94.2371 -75.8164 -55.097 -31.683 -5.12276 25.0712 50.375 68.5663 102.927 106.343 106.205 106.169 105.436 101.028 90 73.9877 51.824 21.8008 -11.8321 -41.1103 -66.7467 -89.3229 -109.319 -127.131 -143.088 -157.46

2-Phase boundary 624.268 697.124 723.967 726.654 726.671 725.565 687.9 440.54 343.093 235.804 143.022 86.7475 52.615 31.9126 19.356 11.74 7.12067 4.3189 2.61955 2.61955 4.3189 7.12067 11.74 19.356 31.9126 52.615 86.7475 143.022 235.804 343.093 440.54 687.9 725.565 726.671 726.654 723.967 697.124 624.268 524.411 403.759 272.771 165.444 100.347 60.8635 36.9156 22.3904 13.5805 8.23698 4.99598

Temperature (deg F) 106.169

Critical 726.654

Temperature (deg F) 113.47

Critical 732.038

85.16-14.86 Temperature (deg F) 70 88.2444 107.508 113.47 113.771 110.837 63.5633 29.7998 -0.0793454 -26.454 -49.7755

2-Phase boundary 474.497 579.551 700.594 732.038 729.979 693.281 368.326 223.401 135.5 82.1847 49.8475

Properties of Reservoir Fluids. Workshop1. Juan Manuel Villanueva Tabares, 20172161140 -70.4712 -88.92 -105.448 -120.331 -133.803 -146.059 -157.262 -157.262 -146.059 -133.803 -120.331 -105.448 -88.92 -70.4712 -49.7755 -26.454 -0.0793454 29.7998 63.5633 110.837 113.771 113.47 107.508 88.2444 70 53.0438 29.5692 -5.16987 -35.3242 -61.6739 -84.8402 -105.33 -123.559 -139.87 -154.546

30.2341 18.3379 11.1225 6.74613 4.09174 2.48176 1.50527 1.50527 2.48176 4.09174 6.74613 11.1225 18.3379 30.2341 49.8475 82.1847 135.5 223.401 368.326 693.281 729.979 732.038 700.594 579.551 474.497 388.485 287.797 174.558 105.874 64.2161 38.949 23.6238 14.3286 8.69071 5.27118

70-30 Temperature (deg F) 69 87.1946 117.766 134.494 134.555 135.096 134.322 85.3221 67.57 50.7439 19.8751 -7.52795 -31.8623 -53.5317 -72.9053 -90.3058 -106.01 -120.252 -133.229 -145.107 -156.027 -156.027 -145.107 -133.229 -120.252 -106.01 -90.3058 -72.9053

2-Phase boundary 394.589 481.952 650.567 736.154 736.141 731.488 715.157 367.346 286.089 222.807 135.139 81.9659 49.7149 30.1536 18.2891 11.0929 6.72817 4.08084 2.47516 1.50126 0.910559 0.910559 1.50126 2.47516 4.08084 6.72817 11.0929 18.2891

Temperature (deg F) 134.555

Critical 736.141

Properties of Reservoir Fluids. Workshop1. Juan Manuel Villanueva Tabares, 20172161140 -53.5317 -31.8623 -7.52795 19.8751 50.7439 67.57 85.3221 134.322 135.096 134.555 134.494 117.766 87.1946 69 52.0523 21.2655 -12.3609 -41.5482 -67.0685 -89.5312 -109.428 -127.159 -143.052 -157.376

30.1536 49.7149 81.9659 135.139 222.807 286.089 367.346 715.157 731.488 736.141 736.154 650.567 481.952 394.589 323.062 216.555 131.347 79.6661 48.32 29.3075 17.7759 10.7816 6.53939 3.96634

50.02-49.98 Temperature (deg F) 70 87.8541 127.884 142.223 154.777 158.727 159.222 159.183 148.614 139.266 129.822 111.23 76.3366 43.2497 13.8547 -12.2511 -35.4929 -56.2637 -74.909 -91.7259 -106.966 -120.842 -133.532 -145.188 -155.936 -155.936 -145.188 -133.532 -120.842 -106.966 -91.7259 -74.909 -56.2637 -35.4929 -12.2511 13.8547 43.2497 76.3366 111.23

2-Phase boundary 311.647 380.647 567.858 643.468 706.711 718.335 713.588 711.009 607.241 539.48 479.28 378.284 235.654 142.931 86.6922 52.5815 31.8923 19.3436 11.7325 7.11613 4.31615 2.61788 1.58782 0.963063 0.584127 0.584127 0.963063 1.58782 2.61788 4.31615 7.11613 11.7325 19.3436 31.8923 52.5815 86.6922 142.931 235.654 378.284

Temperature (deg F) 158.727

Critical 718.335

Properties of Reservoir Fluids. Workshop1. Juan Manuel Villanueva Tabares, 20172161140 129.822 139.266 148.614 159.183 159.222 158.727 154.777 142.223 127.884 87.8541 70 53.2853 22.8139 -10.5661 -39.6063 -65.0493 -87.4865 -107.396 -125.168 -141.122 -155.519

479.28 539.48 607.241 711.009 713.588 718.335 706.711 643.468 567.858 380.647 311.647 255.155 171.036 103.738 62.9205 38.1632 23.1472 14.0395 8.51536 5.16483 3.13263

30.02-69.98 Temperature (deg F) 95 113.551 143.908 173.039 179.461 179.631 179.86 179.518 167.388 157.416 147.463 128.033 91.8393 57.1235 26.3833 -0.859852 -25.079 -46.7 -66.0921 -83.5699 -99.399 -113.802 -126.968 -139.053 -150.19 -150.19 -139.053 -126.968 -113.802 -99.399 -83.5699 -66.0921 -46.7 -25.079 -0.859852 26.3833 57.1235 91.8393 128.033 147.463 157.416 167.388

2-Phase boundary 311.197 380.097 513.078 658.805 684.264 684.111 681.645 674.598 577.626 514.16 457.666 362.62 227.644 138.073 83.7455 50.7942 30.8082 18.6861 11.3337 6.87425 4.16944 2.52889 1.53385 0.930328 0.564273 0.564273 0.930328 1.53385 2.52889 4.16944 6.87425 11.3337 18.6861 30.8082 50.7942 83.7455 138.073 227.644 362.62 457.666 514.16 577.626

Temperature (deg F) 179.631

Critical 684.111

Properties of Reservoir Fluids. Workshop1. Juan Manuel Villanueva Tabares, 20172161140 179.518 179.86 179.631 179.461 173.039 143.908 113.551 95 77.5793 45.7028 10.6292 -20.0024 -46.9231 -70.7237 -91.8871 -110.809 -127.816 -143.177 -157.116

674.598 681.645 684.111 684.264 658.805 513.078 380.097 311.197 254.787 170.789 103.589 62.8297 38.1081 23.1137 14.0192 8.50307 5.15737 3.1281 1.89729

14.98-85.02 Temperature (deg F) 119 137.691 168.066 181.853 192.596 193.438 193.502 193.565 186.992 139.345 99.0384 63.435 32.0221 4.24029 -20.4262 -42.4283 -62.1515 -79.9208 -96.0091 -110.645 -124.02 -136.295 -147.605 -158.064 -158.064 -147.605 -136.295 -124.02 -110.645 -96.0091 -79.9208 -62.1515 -42.4283 -20.4262 4.24029 32.0221 63.435 99.0384 139.345 186.992 193.565 193.502 193.438 192.596

2-Phase boundary 318.653 389.203 525.369 595.321 649.202 651.635 651.565 650.846 600.293 353.035 214.127 129.874 78.7728 47.7781 28.9789 17.5766 10.6607 6.46607 3.92187 2.37873 1.44277 0.875087 0.530767 0.321927 0.321927 0.530767 0.875087 1.44277 2.37873 3.92187 6.46607 10.6607 17.5766 28.9789 47.7781 78.7728 129.874 214.127 353.035 600.293 650.846 651.565 651.635 649.202

Temperature (deg F) 193.502

Critical 651.565

Properties of Reservoir Fluids. Workshop1. Juan Manuel Villanueva Tabares, 20172161140 181.853 168.066 137.691 119 101.373 68.9597 33.0851 1.58371 -26.2356 -50.9438 -73.0122 -92.8302 -110.719 -126.943 -141.723 -155.241

595.321 525.369 389.203 318.653 260.891 174.88 106.07 64.3348 39.0211 23.6675 14.355 8.70677 5.28093 3.20304 1.94274 1.17833

10-90 Temperature (deg F) 120 138.153 177.906 191.65 197.755 197.788 197.817 197.58 186.433 143.815 102.86 66.7709 34.9729 6.87581 -18.0541 -40.2797 -60.1945 -78.1299 -94.3633 -109.127 -122.615 -134.99 -146.39 -156.93 -156.93 -146.39 -134.99 -122.615 -109.127 -94.3633 -78.1299 -60.1945 -40.2797 -18.0541 6.87581 34.9729 66.7709 102.86 143.815 186.433 197.58 197.817 197.788 197.755 191.65 177.906 138.153

2-Phase boundary 295.481 360.902 538.402 610.09 639.991 639.953 639.612 636.699 563.715 353.868 214.632 130.181 78.9586 47.8908 29.0472 17.618 10.6859 6.48131 3.93112 2.38434 1.44618 0.87715 0.532019 0.322686 0.322686 0.532019 0.87715 1.44618 2.38434 3.93112 6.48131 10.6859 17.618 29.0472 47.8908 78.9586 130.181 214.632 353.868 563.715 636.699 639.612 639.953 639.991 610.09 538.402 360.902

Temperature (deg F) 197.788

Critical 639.953

Properties of Reservoir Fluids. Workshop1. Juan Manuel Villanueva Tabares, 20172161140 120 102.839 71.2077 36.1057 5.20856 -22.1381 -46.4805 -68.2731 -87.8917 -105.647 -121.796 -136.551 -150.089

295.481 241.92 162.164 98.3572 59.6567 36.1836 21.9465 13.3112 8.07365 4.89692 2.97013 1.80147 1.09265

0-100 Temperature (deg F) -148 -144.46 -140.921 -137.381 -133.841 -130.302 -126.762 -123.222 -119.682 -116.143 -112.603 -109.063 -105.524 -101.984 -98.4442 -94.9045 -91.3648 -87.8251 -84.2854 -80.7457 -77.206 -73.6663 -70.1266 -66.5869 -63.0472 -59.5075 -55.9678 -52.4281 -48.8884 -45.3487 -41.809 -38.2693 -34.7296 -31.1899 -27.6502 -24.1105 -20.5708 -17.0311 -13.4914 -9.9517 -6.412 -2.8723 0.6674 4.2071 7.7468 11.2865 14.8262 18.3659 21.9056 25.4453

2-Phase boundary 0.447431 0.525943 0.615757 0.718123 0.834383 0.965973 1.11442 1.28137 1.46853 1.67775 1.91095 2.17017 2.45754 2.77532 3.12584 3.51156 3.93502 4.39889 4.90592 5.45896 6.06099 6.71506 7.42432 8.19195 9.02146 9.9162 10.8797 11.9156 13.0276 14.2195 15.4952 16.8586 18.3138 19.8649 21.5161 23.2717 25.136 27.1135 29.2087 31.426 33.7701 36.2458 38.8577 41.6108 44.5097 47.5596 50.7654 54.1322 57.665 61.3691

Temperature (deg F) 205.97

Critical 615.76

Properties of Reservoir Fluids. Workshop1. Juan Manuel Villanueva Tabares, 20172161140 28.985 32.5247 36.0644 39.6041 43.1438 46.6835 50.2232 53.7629 57.3026 60.8423 64.382 67.9217 71.4614 75.0011 78.5408 82.0805 85.6202 89.1599 92.6996 96.2393 99.779 103.319 106.858 110.398 113.938 117.477 121.017 124.557 128.097 131.636 135.176 138.716 142.255 145.795 149.335 152.874 156.414 159.954 163.494 167.033 170.573 174.113 177.652 181.192 184.732 188.271 191.811 195.351 198.891 202.43 205.97

65.2496 69.3118 73.5611 78.0028 82.6424 87.4853 92.5371 97.8034 103.29 109.002 114.946 121.127 127.551 134.225 141.153 148.343 155.799 163.531 171.541 179.836 188.423 197.308 206.498 216 225.819 235.962 246.436 257.248 268.404 279.911 291.777 304.008 316.611 329.594 342.964 356.728 370.893 385.467 400.458 415.873 431.721 448.008 464.744 481.936 499.592 517.721 536.332 555.414 575.017 595.129 615.76