Saturation-height relationships

Skelt, C., Harrison, B., 1995. An integrated approach to saturation height analysis. In Presented at the SPWLA 36th Annual Logging Symposium, 26-29 June, Paris, France. Paper NNN. Slater, L., Lesmes, D.P., 2002. Electrical-hydraulic relationships for unconsolidated sediments. Water Resour. Res. 38 (10), 1213. 

Models of the intimate contact process that have appeared in the literature are commonly composed of three parts or submodels. The first submodel is used to describe the variation in the tow heights (surface waviness or roughness) across the width of the prepreg or towpreg. The second submodel, which is used to predict the elimination of spatial gaps and the establishment of intimate contact at the ply interfaces, relates the consolidation pressure to the rate of deformation of the resin impregnated fiber tow and resin flow at ply surface. Finally, the third submodel is the constitutive relationship for the resin or resin-saturated tow, which gives the shear viscosity as a function of temperature and shear rate. 

In a time-resolved experiment, the intrinsic polarization of the system is measured with very little correction except for power saturation (98,99). To measure the initial polarization, the signal heights S and Sq (hence the enhancement factor V and the polarization factor P = /So) can be obtained directly from the time profile. For a photo-CIDEP system induced only by the triplet mechanism and the triplet reaction involves a substrate SH, a kinetic analysis yields the following relationship ... 

In well-mixed liquid volumes (stirred vessels, bubble columns) with high liquid heights, a saturation concentration is established under unsteady-state experimental conditions, which satisfies the relationship ... 

Analysis of Eq. 5.7 reveals that I tends to zero for very low Vs values, emphasising that the system is not saturated and tends towards a linear Vs—X relationship. On the other hand, a becomes much higher than cr for large Vs values. In this situation, Is approaches unity and the system becomes saturated hence, there is no point in increasing Vs to improve sensitivity in methods relying on peak height measurements. Any sensitivity enhancement would be too small to compensate for the deterioration in sampling rate. 

An ionization chamber functions in the field of saturation, with the saturation voltage applied siphoning off all charge carriers created by ionization of charged particles along their path. In this phase, a linear relationship exists between pulse height and saturation voltage. 

Under these experimental conditions, if the concentration of OCP exceeds 5 X 10 M, its adsorption on the mercury electrode will reach a state of saturation, i.e., a complete coverage of the electrode occurs, which inhibits the reduction of the complex. Therefore the appropriate concentration of OCP to be used in the analysis should be considerably lower than 5 x 10 " M, but about one order of magnitude greater than the estimated concentration of the rare earth ions. The pH value of the solution exerts a great influence on the shape of the wave only at pH 9 does Pj have a sufficient height even at very low of rare earth ions concentration. Under the conditions shown in fig. 5, the linear relationship holds between the heights of P2 and the concentrations of La(III) or Pr(IlI) in the range of 5 x 10" to 1 x 10". When the automatic subtraction technique is applied, the limit of detection is 1 X10" M. 

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