Table 1

Statistical data for pressure balance cross-floating measurements for pressures P_k and areas S_k in approximate equal steps with k = 1, … , 10 from P₁ = 50  MPa through to P₁₀ = 500  MPa. The above data is sufficient to use as an input for the WTLSC algorithm and produces essentially the same quality of results as a full GLS Monte Carlo simulation. If the dimensionless correlation term ρ(P_k, S_k) is unknown or cannot be otherwise estimated it may be set to zero and the WTLSC algorithm will equivalently reproduce the results from a WLS algorithm which provides conservative estimates for the corresponding parameter expected values and associated variances/covariance. It should be noted that a zero correlation of the input/output data will in general still produce a non-zero correlation in the parameters to account for and model the coupling effect between the parameter random variables.