Sentence examples for derivative shapes from inspiring English sources

From the derivative shapes (Fig. 16), it is clear that when bottomhole pressure falls below the dew-point, a near-wellbore zone with a reduced mobility is created.

The present paper demonstrates how the flow regimes in dual-porosity/dual-permeability reservoir are affected by condensate accumulation and how this modifies the derivative shapes.

The simulation runs were designed to generate the derivative shapes that could be expected in dual-porosity/dual-permeability well responses tests in gas condensate reservoirs below the dew-point pressure under various conditions.

Two sequential gradient recovery operations are performed: first the gradients of the linear triangles are calculated and converted to stresses; then, polygon derivative shape functions derived in this paper are used to determine the internal forces from the stress gradients.

The derivative shape of the S0 to S1 and the S1 to S2 difference spectra show that the Kβ1,3 peak shifts to lower energy during these transitions.

In particular, the derivative shape under the K β2,5 peak is reproduced by the calculations and may be attributed to the sulfur 3p orbitals being shifted to slightly higher energy in FeVco than in FeMoco.

Similar to the unscaled case, the line shapes of transformed (or scaled) unit variance loadings will be distorted, showing the first-derivative shape of a metabolite peak in cases in which the variation caused by variable peak position contributes to a model (Cloarec et al. 2005).

A Continuum Sensitivity Equation (CSE) method was developed in local derivative form for fluid structure shape design problems.

This framework is based on the theories of topological derivative and shape derivative for elliptic system.

Based on the global distribution of the topological derivative, new shape or topology are attained by nucleating small scattering bodies.

Such analysis leads to the expansion of the elastic energy in the form E ρ,R)="E 0,R +ρ2E1(R)+ρ4E2(R)+⋯,where E1(R) is used to determine the first-order topological derivatives of shape functionals, and E2(R) can be used to determine the second-order topological derivatives of shape functionals.