Confidence surfaces

The field development plan s prime purpose is to serve as a conceptual project specification for subsurface and surface facilities, and the operational and maintenance philosophy required to support a proposal for the required investments. It should give management and shareholders confidence that all aspects of the project have been... 

In addition, the separator temperature and pressure of the surface facilities are typically outside the two-phase envelope, so that no liquids form during separation. This makes the prediction of the produced fluids during development very simple, and gas sales contracts can be agreed with the confidence that the fluid composition will remain constant during field life in the case of a dry gas. 

The effects of data spread should be examined for all individual parameters. These individual effects usually take place simultaneously, and the combined effect is assessed using the root—sum—square (RSS) method. The total additional surface area required to obtain a certain level of design confidence is calculated from... 

Now we can adjust a until the calculated and observed AGPr coincide. This calibrated surface can then be used with confidence for studying the reaction in different solvents (and different environments), since a remains unchanged and only Ais recalculated. In this way, the error associated with the evaluation of does not affect the calculations of the relative effects of different solvents. 

Procedure The two algorithms FF050 and FF025 permit tabulated F-val-ues for the confidence levels p = 0.05 and 0.025 to be approximated with high accuracy. The strong curvature of the F - f f j2,p) surface militates against simple and flexible functions like polynomials only two confidence levels are available. 

The longer metal-oxygen distances of about 2.6 A observed by EXAFS spectroscopy for these and related supported metal clusters suggest weak interactions between the metal and surface oxygen atoms these EXAFS contributions are not determined with as much confidence as those characterized by the shorter distances, and the interactions are not well understood. 

A different concept is the idea of manufacturing at point of use rather than transporting materials. A simple and familiar example is the office water cooler. The majority that you see around use large bottles of water. These need to be transported and stored and the empty bottles recycled. More than 600 kT of bottled water were imported into the UK in 1999, creating a significant transport impact. The alternative is to chill and filter mains water on-site. The water needs to be filtered and purified to meet consumer perceptions and expectations. These systems use a mixture of purification techniques including advanced filters, UV-disinfection and silver-treated surfaces to give users the confidence they require. 

The computation of the above surface in the parameter space is not trivial. For the two-parameter case (p=2), the joint confidence region on the krk2 plane can be determined by using any contouring method. The contour line is approximated from many function evaluations of S(k) over a dense grid of (k, k2) values. 

Note, however, there are two critical limitations to these "predicting" procedures. First, the mathematical models must adequately fit the data. Correlation coefficients (R ), adjusted for degrees of freedom, of 0.8 or better are considered necessary for reliable prediction when using factorial designs. Second, no predictions outside the design space can be made confidently, because no data are available to warn of unexpectedly abrupt changes in direction of the response surface. The areas covered by Figures 8 and 9 officially violate this latter limitation, but because more detailed... 

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