Research Article
Breakthrough Pressure Prediction Based on Neural Network Model
Table 2
Measured and predicted breakthrough pressures and other input and output data.
| Group | Sample number | Sample serial number | Input | Breaking pressure (MPa) | MSE | | Porosity (%) | Permeability (nD) (10-21 m2) | Specific surface area (m2/g) | Throat radius (nm) | Measured value | Predictive value |
| Training set | 1 | H1 | 2.80 | 6.90 | 7.38 | 7 | 4.504 | 3.781 | 0.447 | 0.992 | 2 | H2 | 2.20 | 1072.00 | 6.29 | 5 | 5.422 | 5.339 | 3 | H3 | 6.70 | 8.40 | 26.75 | 8 | 3.765 | 3.810 | 4 | H4 | 3.10 | 4.30 | 10.23 | 5 | 5.925 | 5.987 | 5 | H5 | 1.60 | 44.00 | 2.35 | 20 | 12.628 | 11.429 | 6 | H6 | 2.80 | 36.30 | 9.52 | 6 | 6.044 | 5.934 | 7 | H7 | 3.00 | 1.90 | 7.30 | 38 | 0.357 | 0.386 | 8 | H8 | 1.70 | 3.30 | 4.02 | 7 | 5.413 | 5.279 | 9 | H9 | 1.50 | 4325.00 | 3.65 | 24 | 0.160 | 0.138 | 10 | H10 | 4.40 | 1214.00 | 3.26 | 26 | 0.169 | 0.291 | 11 | N5 | 0.90 | 37.00 | 10.54 | 7 | 3.189 | 3.721 | 12 | N2 | 0.30 | 75.70 | 4.21 | 6 | 4.256 | 5.739 | 13 | N3 | 6.60 | 1370.00 | 2.55 | 70 | 0.548 | 0.128 | 14 | N4 | 6.60 | 1350.00 | 3.23 | 57 | 0.510 | 0.808 | 15 | N1 | 0.70 | 7.80 | 25.32 | 22 | 14.667 | 14.690 | 16 | N6 | 0.70 | 0.62 | 21.58 | 6 | 4.458 | 4.537 | 17 | N7 | 0.50 | 50.00 | 9.10 | 6 | 3.652 | 4.176 | 18 | N8 | 1.90 | 13.30 | 5.26 | 5 | 4.063 | 5.295 | 19 | J1 | 0.15 | 34.00 | 21.10 | 8 | 3.200 | 3.272 | 20 | J2 | 0.06 | 7.00 | 3.80 | 7 | 4.500 | 4.701 | 21 | CS01 | 4.30 | 0.73 | 7.70 | 7 | 4.100 | 4.311 | 22 | CS02 | 4.30 | 0.86 | 8.90 | 7 | 4.800 | 5.002 | 23 | CS03 | 4.50 | 0.27 | 23.30 | 4 | 4.800 | 4.815 | 24 | CS04 | 9.10 | 2.75 | 29.00 | 7 | 4.300 | 4.287 | 25 | CS05 | 8.70 | 0.18 | 25.90 | 5 | 5.400 | 5.686 | 26 | CS06 | 8.70 | 0.16 | 22.50 | 8 | 3.200 | 3.147 | 27 | CS07 | 5.00 | 0.77 | 12.90 | 7 | 3.700 | 3.473 | 28 | CS10 | 13.00 | 4.70 | 31.70 | 7 | 3.900 | 3.843 | 29 | CS11 | 5.40 | 0.93 | 19.50 | 4 | 5.700 | 5.507 | 30 | CS12 | 20.60 | 870.00 | 8.80 | 59 | 0.600 | 0.650 | 31 | S1 | 26.10 | 4.30 | 30.56 | 8 | 18.800 | 18.808 | 32 | S2 | 26.10 | 9.30 | 30.56 | 20 | 17.500 | 17.502 | 33 | S3 | 29.90 | 30.90 | 26.21 | 44 | 5.400 | 5.109 | 34 | S4 | 29.90 | 19.70 | 36.21 | 21 | 9.900 | 10.028 | 35 | S5 | 10.30 | 9.90 | 26.80 | 13 | 16.200 | 16.270 | 36 | S6 | 10.30 | 3.40 | 26.80 | 13 | 14.400 | 14.338 | 37 | S7 | 24.40 | 549.60 | 20.10 | 260 | 14.000 | 14.216 | 38 | S8 | 23.50 | 23.50 | 23.60 | 24 | 14.200 | 14.264 | 39 | S9 | 23.40 | 65.60 | 20.60 | 60 | 18.700 | 17.986 | 40 | S10 | 23.40 | 64.30 | 20.60 | 42 | 13.470 | 14.139 |
| Prediction set | 41 | N9 | 0.8 | 26.6 | 9.73 | 3 | 7.951 | 6.813 | 0.587 | 0.9885 | 42 | N10 | 0.6 | 3.5 | 4.34 | 75 | 0.115 | 0.138 | 43 | N11 | 0.4 | 1.8 | 4.71 | 43 | 0.402 | 0.429 | 44 | N12 | 1.5 | 0.08 | 6.14 | 30 | 0.295 | 0.036 | 45 | H11 | 1.5 | 12.1 | 1.59 | 7 | 5.312 | 4.338 | 46 | H12 | 2.6 | 15.1 | 4.87 | 6 | 2.786 | 4.201 | 47 | H13 | 1.7 | 10.7 | 2.66 | 10 | 1.373 | 1.393 | 48 | H14 | 1.7 | 7.3 | 4.98 | 4 | 3.832 | 2.938 | 49 | H15 | 0.7 | 13.5 | 1.47 | 8 | 3.475 | 3.562 | 50 | CS20 | 11.6 | 40 | 39 | 7 | 4.8 | 4.676 | 51 | CS23 | 24 | 15 | 17.4 | 24 | 0.3 | 0.389 | 52 | Z1 | 1.2 | 10.2 | 2.52 | 7 | 1.247 | 1.293 | 53 | Z2 | 24.2 | 5.4 | 34.32 | 18 | 17.2 | 17.514 | 54 | Z3 | 2.5 | 45 | 2.44 | 22 | 12.826 | 12.978 | 55 | Z4 | 5.1 | 12.1 | 46.8 | 13.9 | 13.9 | 13.725 |
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