Relative errors of the first four order pressure amplitudes in the frequency domain at T1 by the three viscoelastic models for Case 1
Order . | Relative errors by the viscoelastic models (–) . | ||
---|---|---|---|
SF-VE (%) . | CB-UF-VE (%) . | MIAB-UF-VE (%) . | |
1 | 32.90 | 5.01 | 5.86 |
2 | 26.72 | 1.57 | 15.97 |
3 | 20.05 | 1.66 | 11.35 |
4 | 8.88 | 1.95 | 2.49 |
Order . | Relative errors by the viscoelastic models (–) . | ||
---|---|---|---|
SF-VE (%) . | CB-UF-VE (%) . | MIAB-UF-VE (%) . | |
1 | 32.90 | 5.01 | 5.86 |
2 | 26.72 | 1.57 | 15.97 |
3 | 20.05 | 1.66 | 11.35 |
4 | 8.88 | 1.95 | 2.49 |
First 11 order harmonic frequencies of transient pressure at T1 by the elastic models and the experimental data for Case 1
Order . | Predicted frequencies and experimental data (Hz) . | ||||
---|---|---|---|---|---|
Frictionless . | SF . | CB-UF . | MIAB-UF . | Experimental data . | |
1 | 0.35 | 0.35 | 0.35 | 0.35 | 0.35 |
2 | 1.10 | 1.10 | 1.10 | 1.10 | 1.00 |
3 | 1.80 | 1.80 | 1.80 | 1.80 | 1.75 |
4 | 2.55 | 2.55 | 2.55 | 2.50 | 2.40 |
5 | 3.30 | 3.30 | 3.25 | 3.20 | 3.10 |
6 | 4.00 | 4.00 | 4.00 | 3.95 | 3.90 |
7 | 4.75 | 4.75 | 4.75 | 4.65 | 4.60 |
8 | 5.45 | 5.45 | 5.45 | 5.40 | 5.30 |
9 | 6.20 | 6.20 | 6.20 | 6.10 | 6.10 |
10 | 6.90 | 6.90 | 6.90 | 6.80 | 6.50 |
11 | 7.65 | 7.65 | 7.65 | 7.50 | 6.80 |
Order . | Predicted frequencies and experimental data (Hz) . | ||||
---|---|---|---|---|---|
Frictionless . | SF . | CB-UF . | MIAB-UF . | Experimental data . | |
1 | 0.35 | 0.35 | 0.35 | 0.35 | 0.35 |
2 | 1.10 | 1.10 | 1.10 | 1.10 | 1.00 |
3 | 1.80 | 1.80 | 1.80 | 1.80 | 1.75 |
4 | 2.55 | 2.55 | 2.55 | 2.50 | 2.40 |
5 | 3.30 | 3.30 | 3.25 | 3.20 | 3.10 |
6 | 4.00 | 4.00 | 4.00 | 3.95 | 3.90 |
7 | 4.75 | 4.75 | 4.75 | 4.65 | 4.60 |
8 | 5.45 | 5.45 | 5.45 | 5.40 | 5.30 |
9 | 6.20 | 6.20 | 6.20 | 6.10 | 6.10 |
10 | 6.90 | 6.90 | 6.90 | 6.80 | 6.50 |
11 | 7.65 | 7.65 | 7.65 | 7.50 | 6.80 |
(a) Pressure head amplitudes at T1 for Case 1 (V0 = 0.0278 m/s) in the frequency domain produced by different elastic models and the experimental data. (b) Corresponding first 11 harmonic frequencies.
(a) Pressure head amplitudes at T1 for Case 1 (V0 = 0.0278 m/s) in the frequency domain produced by different elastic models and the experimental data. (b) Corresponding first 11 harmonic frequencies.
(a) Pressure head amplitudes at T1 for Case 1 (V0 = 0.0278 m/s) in the frequency domain produced by different viscoelastic models and the experimental data. (b) Corresponding first four harmonic frequencies.
(a) Pressure head amplitudes at T1 for Case 1 (V0 = 0.0278 m/s) in the frequency domain produced by different viscoelastic models and the experimental data. (b) Corresponding first four harmonic frequencies.
(a) Pressure head amplitudes at T1 for Case 3 (V0 = 0.9946 m/s) in the frequency domain produced by different elastic models and the experimental data. (b) Corresponding first 11 harmonic frequencies.
(a) Pressure head amplitudes at T1 for Case 3 (V0 = 0.9946 m/s) in the frequency domain produced by different elastic models and the experimental data. (b) Corresponding first 11 harmonic frequencies.
(a) Pressure head amplitudes at T1 for Case 3 (V0 = 0.9946 m/s) in the frequency domain produced by different viscoelastic models and the experimental data. (b) Corresponding first four harmonic frequencies.
(a) Pressure head amplitudes at T1 for Case 3 (V0 = 0.9946 m/s) in the frequency domain produced by different viscoelastic models and the experimental data. (b) Corresponding first four harmonic frequencies.