Sentence examples for using the analytical injectivity from inspiring English sources
The LGR simulations are also compared to those using the analytical injectivity model proposed by Li and Delshad (2014).
We also use the analytical injectivity model (Li and Delshad 2014) and we observe that the simulated injection pressure is between the results of 3-level LGR and 4-level LGR.
Simulation results reveal that the LGR is able to obtain more accurate polymer injectivity compared to using the coarse grid and the analytical injectivity model.
Figure 16 shows the simulated overall injection rate using the original grid, 4-level LGR, and the analytical injectivity model.
In this case, it is obviously not proper to use the coarse grid as well as the analytical injectivity model, which could not describe the flow in fractures.
The analytical injectivity model gives a similar trend but a different profile of the pressure compared to using the original grid and the LGR grids, because there is a non-zero skin factor for the well while the analytical injectivity model originates assuming that skin is equal to 0. This indicates that the analytical polymer injectivity model is not always useful for field cases.
Field case simulation results indicate that the proposed LGR is consistent with the analytical injectivity model and achieves the closest results to the full grid refinement, which considerably improves the accuracy of solutions compared with the original grid.
It uses the analytical data that measures Beijing's air quality, and translates those statistics into visuals and audio.
In this case, we may use the injectivity of the restriction map to define the radial part (dot{D}(I)) by begin{aligned} dot{D}(I) circ mathcal {R} = mathcal {R} circ D(I).
The model injectivity and fracturing was solved using the finite element method simulated in COMSOL Multiphysics Software.
The simulation results using the new model indicate that the fracture growth has positive effects on improving injectivity, pressure drop, oil recovery, etc.
