# Each-Phase Metering with Gas-Liquid Stratified Flow Based on the Multi-Frequency Coriolis Principle
## 5 Comparison of Correction Results  
The stratified flow correction model based on the multi-frequency Coriolis principle established in this paper quantitatively analyzes the correction deviations of total density and mass flow in the gas-containing fluid. The measurement results are compared and analyzed with the correction model of uniform bubble flow based on the multi-frequency Coriolis principle (Equation (44)) proposed by [PERSON] to determine a flow pattern with the best correction effect [13].  
\[\begin{split}\rho\Bigg{(}r_{0}+r_{1}\frac{1}{1-\frac{f_{i}^{2}} {\beta}}\Bigg{)}=c_{0i}+c_{1i}\frac{1}{f_{i}^{2}}\ (i=1,3)\\ \dot{m}_{ub}=\frac{\dot{m}_{ap}}{1+2E_{pb}}\end{split} \tag{44}\]  
Figure 9: The deviations relative to GVF after correction by the proposed compensation model. (**a**) Gas-phase content. (**b**) Relative deviations of Gas-phase mass flow. (**c**) Relative deviations of Liquid-phase mass flow.  
The comparison between the uniform bubble flow correction model based on the multi-frequency Coriolis principle and the stratified flow correction method proposed in this paper is shown in Figure 10. In the uniform bubble flow (\(\alpha_{0}\leq 4\%\) or \(\dot{m}_{0}=2.280\) kg/s), the correction results of the uniform bubble flow method based on the multi-frequency Coriolis principle are less than \(\pm 2.5\%\) and \(\pm 5.0\%\) respectively for the compensation of the total density and mass flow in the fluid. However, the correction effect of this metering model on stratified flow is not ideal, in which the density and mass flow deviations are more than \(-20\%\) from \(70\%\) measured fluid. After the modification of the stratified flow model based on the multi-frequency Coriolis principle, the total density is less than \(\pm 4.0\%\) from \(92.3\%\) measured fluid, and the total mass flow is less than \(\pm 3.0\%\) from \(90\%\) measured fluid. The maximum deviation of density and mass flow in the bubble flow is \(-2.5\%\) and \(2.7\%\), respectively. The maximum deviation in the stratified flow is \(-6.7\%\) and \(6.3\%\), respectively. The application effect of the modified model in stratified flow is better than that of the method proposed by [PERSON]. Of course, from the comparison of the correction results under different flow patterns, the correction effect of small suspension bubble flow and uniform bubble flow is relatively good.  
Figure 11 shows the comparison of the phase-separation mass flows measured by the correction method of uniform bubble flow and with stratified flow based on the multi-frequency Coriolis principle. The correction effect of the multi-frequency metering method is closely related to the flow conditions in the gas-containing fluid. The correction method of uniform bubble flow based on the multi-frequency Coriolis principle is not ideal to compensate for the stratified flow (\(\dot{m}_{0}=0.2280\) kg/s and \(0.3420\) kg/s).  
Figure 11: _Cont._  
Figure 10: Comparison of density and mass flow deviation correction results of stratified flow between the uniform bubble flow correction model and the proposed correction model. (**a**) Comparison of relative deviations of density. (**b**) Comparison of relative deviations of mass flow.